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AI review — page 36

claude-opus-4-8 · prompt v7 · 2026-08-21T10:46:18+00:00 · applied: yes · changed: yes

Screenshot sent to the model (reading-order tags burned on)

Annotated page 36

Instructions (system prompt)

The screenshot has annotations burned onto it that are NOT part of the document:
- a small red numbered tag at the top-left corner of each item, showing that item's position in the OCR-determined reading order (the same order the items appear in the json data);
- a red-and-white dotted outline around each item, showing the area the OCR detected for that content block.
Use the tags and outlines to see the detected reading order and item boundaries directly on the page, and judge that sequence against how a human would naturally read it. Ignore the annotations when checking text fidelity — they overlay the content, they are not content.

For the given screenshot of a PDF's page and the attached json data, I want you to perform the following tasks in order...

Review the reading order set out in the json data and compare to what a natural reading order for that of a human would be by looking at the screenshot. Decide on any changes and re-arrange the items for the most logical reading order.
Look at all text for each item and correct any extraction errors like missing words, spelling mistakes etc.
Look at each item in the JSON and ensure that the OCR process has identified the item as the correct type: text, list item etc.
Look for any text that duplicates: if two items next to each other contain the exact same text but the text only appears once on the screenshot, one of them is an extraction error — keep the item whose box matches where the text is visible and flag the other for removal.
Make amendments as you proceed through the items and list of instructions.
Reading Order Advice: If there is columns with headings and text, I wouldnt expect the reading order to jump from one heading straight to another if there is text associated with that heading.

Return format: Give me the json data back only, with the amendments you make.

Mechanical notes (so your answer can be applied automatically):
- Each item has an `id` — keep every item and its `id` exactly as given; never invent, drop or duplicate ids. Re-arranging means changing the position of items (and their nesting) in the arrays.
- Never move text (or a type) from one item to another: each item's coordinates travel with its id, so to change reading order you must move the whole item object, and text amendments must be in-place corrections of that item's own text.
- To flag a duplicate item, keep it in the array and add `"remove": "duplicate"` to it — never just delete it (deleted items are restored automatically).
- ids are opaque labels, not sequence numbers: never renumber them. After a removal or re-arrangement, every remaining item keeps the exact id it came with, even if the ids no longer look sequential.
- Text may contain `[pN.M…]` placeholders marking where an inline formula belongs — treat them as part of the text and leave them exactly where they are.
- `box` is [left, top, right, bottom] as percentages of the page from the top-left corner; return it unchanged.
- Respond with raw JSON only: no code fences, no commentary, same shape as the input (`{"items": [...]}`).

User message (json data sent)

Page 36 json data:

{"items":[{"id":"p36.1","type":"formula","box":[32,10,68,13],"text":"K_{t+1}=(1-\\delta)K_{t}+\\left(1-\\Gamma_{I,t}\\left(\\frac{I_{t}}{I_{t-1}}\\right)\\right),"},{"id":"p36.2","type":"text","box":[11,14,70,16],"text":"where[p36.2.1] is the depreciation rate and investment-adjustment cost is","children":[{"id":"p36.2.1","type":"formula","box":[11,14,70,16],"text":"δ"}]},{"id":"p36.3","type":"formula","box":[36,17,63,21],"text":"\\Gamma_{I,t}\\left(\\frac{I_{t}}{I_{t-1}}\\right)\\equiv\\frac{\\gamma}{2}\\left(\\frac{I_{t}}{I_{t-1}}-1\\right)^{2}."},{"id":"p36.4","type":"text","box":[11,21,58,23],"text":"The first-order condition for investment in capital is:"},{"id":"p36.5","type":"text","box":[84,11,88,12],"text":"(14)"},{"id":"p36.6","type":"text","box":[84,18,88,20],"text":"(15)"},{"id":"p36.7","type":"formula","box":[13,25,83,29],"text":"p_{I,t}=q_{i,t}\\left(1-\\Gamma_{I,t}\\left(\\frac{I_{t}}{I_{t-1}}\\right)-\\Gamma_{I,t}^{\\prime}\\left(\\frac{I_{t}}{I_{t-1}}\\right)I_{t}\\right)+\\beta\\frac{u^{\\prime}(c_{I,t+1})}{u^{\\prime}(c_{I,t})}q_{I,t+1}\\Gamma_{I,t}^{\\prime}\\left(\\frac{I_{t}}{I_{t-1}}\\right)\\frac{I_{t+1}^{2}}{I_{t}},"},{"id":"p36.8","type":"text","box":[84,26,88,28],"text":"(16)"},{"id":"p36.9","type":"text","box":[11,30,88,34],"text":"where primes indicate derivatives,[p36.9.1] is Tobin's q, and[p36.9.2] is the relative price of investment goods.","children":[{"id":"p36.9.1","type":"formula","box":[11,30,88,34],"text":"q_{I,t}"},{"id":"p36.9.2","type":"formula","box":[11,30,88,34],"text":"p_{I,t} \\equiv \\frac{P_{I,t}}{P_{C,t}}"}]},{"id":"p36.10","type":"formula","box":[11,36,89,41],"text":"q_{I,t}=\\beta\\frac{u^{\\prime}(c_{I,t+1})}{u^{\\prime}(c_{I,t})}\\left[(1-\\delta)q_{I,t+1}+(1-\\tau_{t+1}^{k})r_{K,t+1}u_{t+1}+\\left(\\tau_{t+1}^{k}\\delta-(1-\\tau_{t+1}^{k})\\Gamma(u_{t+1})\\right)p_{I,t+1}\\right]."},{"id":"p36.11","type":"text","box":[84,40,88,42],"text":"(17)"},{"id":"p36.12","type":"text","box":[11,42,88,45],"text":"where[p36.12.1] is the return on physical capital,[p36.12.2] is capital utilisation, and[p36.12.3] is capital utilisation adjustment cost.","children":[{"id":"p36.12.1","type":"formula","box":[11,42,88,45],"text":"r_{K,t}"},{"id":"p36.12.2","type":"formula","box":[11,42,88,45],"text":"u_{t}"},{"id":"p36.12.3","type":"formula","box":[11,42,88,45],"text":"\\Gamma(u_{t})"}]},{"id":"p36.13","type":"text","box":[11,45,88,50],"text":"Total capital services in the economy are the product of the capital stock and its utilisation, and are used by tradable[p36.13.1] and non-tradable[p36.13.2] sectors of intermediate goods firms:","children":[{"id":"p36.13.1","type":"formula","box":[11,45,88,50],"text":"K_{T,t}"},{"id":"p36.13.2","type":"formula","box":[11,45,88,50],"text":"K_{N,t}"}]},{"id":"p36.14","type":"formula","box":[41,52,59,54],"text":"u_{t}K_{t}=K_{N,t}+K_{T,t}."},{"id":"p36.15","type":"text","box":[84,52,88,54],"text":"(18)"},{"id":"p36.16","type":"heading","box":[11,56,34,58],"text":"A.2 Labour market"},{"id":"p36.17","type":"text","box":[11,59,88,66],"text":"The labour market in the standard model is identical to what is typical in the literature - a standard staggered wage setting. This is the part where the main difference between the model with and without search frictions lies, namely, the standard part described briefly below is replaced by the fully-fledged search frictions, described in detail in Appendix B.","children":[{"id":"p36.17.1","type":"link","box":[86,64,88,66],"text":"B."}]},{"id":"p36.18","type":"text","box":[11,66,88,82],"text":"Households supply differentiated labour services in monopolistically competitive market for each type of labour service. Wages are determined by staggered wage setting in terms of nominal wages, where the probability that a wage contract is reset in a given period is[p36.18.1], where $s$ stands for Ricardian or hand-to-mouth households. Households that can reset wage choose the same wage[p36.18.2], while wages that are not reset are indexed to past wages by a combination of the past CPI inflation,[p36.18.3], where[p36.18.4] is the consumer price index, and inflation target,[p36.18.5], where the indexation weight is[p36.18.6]. The first order condition for the optimal reset wage is","children":[{"id":"p36.18.1","type":"formula","box":[11,66,88,82],"text":"1 - \\xi_{s}"},{"id":"p36.18.2","type":"formula","box":[11,66,88,82],"text":"\\tilde{W}_{s,t}"},{"id":"p36.18.3","type":"formula","box":[11,66,88,82],"text":"\\Pi_{C,t-1} = P_{C,t-1}/P_{C,t-2}"},{"id":"p36.18.4","type":"formula","box":[11,66,88,82],"text":"P_{C,t}"},{"id":"p36.18.5","type":"formula","box":[11,66,88,82],"text":"\\overline{\\Pi}"},{"id":"p36.18.6","type":"formula","box":[11,66,88,82],"text":"\\chi_{s} \\colon W_{t,i} = \\Pi_{C,t-1}^{\\chi_{s}} \\overline{\\Pi}^{1-\\chi_{s}} W_{t-1,i}"}]},{"id":"p36.19","type":"formula","box":[12,84,95,89],"text":"E_{t}\\left[\\sum_{k=0}^{\\infty}(\\beta\\xi_{s})^{k}\\left(u^{\\prime}(c)_{s,t+k}(1-\\tau_{t+k}^{N}-\\tau_{t+k}^{W_{h}})\\frac{\\tilde{W}_{s,t}}{P_{C,t+k}}\\left(\\frac{P_{C,t+k-1}}{P_{C,t-1}}\\right)^{\\chi_{s}}\\overline{\\Pi}^{(1-\\chi_{s})k}-\\frac{\\eta_{s}}{\\eta_{s}-1}N_{t+k}^{\\zeta}\\right)N_{t+k}\\right]=0"},{"id":"p36.20","type":"text","box":[84,89,88,90],"text":"(19)"},{"id":"p36.21","type":"text","box":[14,90,60,92],"text":"For details see the Appendix in Gomes et al. (2010).","children":[{"id":"p36.21.1","type":"link","box":[42,90,53,92],"text":"Gomes et al."},{"id":"p36.21.2","type":"link","box":[53,90,58,92],"text":"(2010)."}]},{"id":"p36.22","type":"footer","box":[49,94,51,95],"text":"35"}]}

Model response

{"items":[{"id":"p36.1","type":"formula","box":[32,10,68,13],"text":"K_{t+1}=(1-\\delta)K_{t}+\\left(1-\\Gamma_{I,t}\\left(\\frac{I_{t}}{I_{t-1}}\\right)\\right),"},{"id":"p36.5","type":"text","box":[84,11,88,12],"text":"(14)"},{"id":"p36.2","type":"text","box":[11,14,70,16],"text":"where[p36.2.1] is the depreciation rate and investment-adjustment cost is","children":[{"id":"p36.2.1","type":"formula","box":[11,14,70,16],"text":"δ"}]},{"id":"p36.3","type":"formula","box":[36,17,63,21],"text":"\\Gamma_{I,t}\\left(\\frac{I_{t}}{I_{t-1}}\\right)\\equiv\\frac{\\gamma}{2}\\left(\\frac{I_{t}}{I_{t-1}}-1\\right)^{2}."},{"id":"p36.6","type":"text","box":[84,18,88,20],"text":"(15)"},{"id":"p36.4","type":"text","box":[11,21,58,23],"text":"The first-order condition for investment in capital is:"},{"id":"p36.7","type":"formula","box":[13,25,83,29],"text":"p_{I,t}=q_{i,t}\\left(1-\\Gamma_{I,t}\\left(\\frac{I_{t}}{I_{t-1}}\\right)-\\Gamma_{I,t}^{\\prime}\\left(\\frac{I_{t}}{I_{t-1}}\\right)I_{t}\\right)+\\beta\\frac{u^{\\prime}(c_{I,t+1})}{u^{\\prime}(c_{I,t})}q_{I,t+1}\\Gamma_{I,t}^{\\prime}\\left(\\frac{I_{t}}{I_{t-1}}\\right)\\frac{I_{t+1}^{2}}{I_{t}},"},{"id":"p36.8","type":"text","box":[84,26,88,28],"text":"(16)"},{"id":"p36.9","type":"text","box":[11,30,88,34],"text":"where primes indicate derivatives,[p36.9.1] is Tobin's q, and[p36.9.2] is the relative price of investment goods.","children":[{"id":"p36.9.1","type":"formula","box":[11,30,88,34],"text":"q_{I,t}"},{"id":"p36.9.2","type":"formula","box":[11,30,88,34],"text":"p_{I,t} \\equiv \\frac{P_{I,t}}{P_{C,t}}"}]},{"id":"p36.10","type":"formula","box":[11,36,89,41],"text":"q_{I,t}=\\beta\\frac{u^{\\prime}(c_{I,t+1})}{u^{\\prime}(c_{I,t})}\\left[(1-\\delta)q_{I,t+1}+(1-\\tau_{t+1}^{k})r_{K,t+1}u_{t+1}+\\left(\\tau_{t+1}^{k}\\delta-(1-\\tau_{t+1}^{k})\\Gamma(u_{t+1})\\right)p_{I,t+1}\\right],"},{"id":"p36.11","type":"text","box":[84,40,88,42],"text":"(17)"},{"id":"p36.12","type":"text","box":[11,42,88,45],"text":"where[p36.12.1] is the return on physical capital,[p36.12.2] is capital utilisation, and[p36.12.3] is capital utilisation adjustment cost.","children":[{"id":"p36.12.1","type":"formula","box":[11,42,88,45],"text":"r_{K,t}"},{"id":"p36.12.2","type":"formula","box":[11,42,88,45],"text":"u_{t}"},{"id":"p36.12.3","type":"formula","box":[11,42,88,45],"text":"\\Gamma(u_{t})"}]},{"id":"p36.13","type":"text","box":[11,45,88,50],"text":"Total capital services in the economy are the product of the capital stock and its utilisation, and are used by tradable[p36.13.1] and non-tradable[p36.13.2] sectors of intermediate goods firms:","children":[{"id":"p36.13.1","type":"formula","box":[11,45,88,50],"text":"K_{T,t}"},{"id":"p36.13.2","type":"formula","box":[11,45,88,50],"text":"K_{N,t}"}]},{"id":"p36.14","type":"formula","box":[41,52,59,54],"text":"u_{t}K_{t}=K_{N,t}+K_{T,t}."},{"id":"p36.15","type":"text","box":[84,52,88,54],"text":"(18)"},{"id":"p36.16","type":"heading","box":[11,56,34,58],"text":"A.2 Labour market"},{"id":"p36.17","type":"text","box":[11,59,88,66],"text":"The labour market in the standard model is identical to what is typical in the literature - a standard staggered wage setting. This is the part where the main difference between the model with and without search frictions lies, namely, the standard part described briefly below is replaced by the fully-fledged search frictions, described in detail in Appendix B.","children":[{"id":"p36.17.1","type":"link","box":[86,64,88,66],"text":"B."}]},{"id":"p36.18","type":"text","box":[11,66,88,82],"text":"Households supply differentiated labour services in monopolistically competitive market for each type of labour service. Wages are determined by staggered wage setting in terms of nominal wages, where the probability that a wage contract is reset in a given period is[p36.18.1], where $s$ stands for Ricardian or hand-to-mouth households. Households that can reset wage choose the same wage[p36.18.2], while wages that are not reset are indexed to past wages by a combination of the past CPI inflation,[p36.18.3], where[p36.18.4] is the consumer price index, and inflation target,[p36.18.5], where the indexation weight is[p36.18.6]. The first order condition for the optimal reset wage is","children":[{"id":"p36.18.1","type":"formula","box":[11,66,88,82],"text":"1 - \\xi_{s}"},{"id":"p36.18.2","type":"formula","box":[11,66,88,82],"text":"\\tilde{W}_{s,t}"},{"id":"p36.18.3","type":"formula","box":[11,66,88,82],"text":"\\Pi_{C,t-1} = P_{C,t-1}/P_{C,t-2}"},{"id":"p36.18.4","type":"formula","box":[11,66,88,82],"text":"P_{C,t}"},{"id":"p36.18.5","type":"formula","box":[11,66,88,82],"text":"\\overline{\\Pi}"},{"id":"p36.18.6","type":"formula","box":[11,66,88,82],"text":"\\chi_{s} \\colon W_{t,i} = \\Pi_{C,t-1}^{\\chi_{s}} \\overline{\\Pi}^{1-\\chi_{s}} W_{t-1,i}"}]},{"id":"p36.19","type":"formula","box":[12,84,95,89],"text":"E_{t}\\left[\\sum_{k=0}^{\\infty}(\\beta\\xi_{s})^{k}\\left(u^{\\prime}(c)_{s,t+k}(1-\\tau_{t+k}^{N}-\\tau_{t+k}^{W_{h}})\\frac{\\tilde{W}_{s,t}}{P_{C,t+k}}\\left(\\frac{P_{C,t+k-1}}{P_{C,t-1}}\\right)^{\\chi_{s}}\\overline{\\Pi}^{(1-\\chi_{s})k}-\\frac{\\eta_{s}}{\\eta_{s}-1}N_{t+k}^{\\zeta}\\right)N_{t+k}\\right]=0"},{"id":"p36.20","type":"text","box":[84,89,88,90],"text":"(19)"},{"id":"p36.21","type":"text","box":[14,90,60,92],"text":"For details see the Appendix in Gomes et al. (2010).","children":[{"id":"p36.21.1","type":"link","box":[42,90,53,92],"text":"Gomes et al."},{"id":"p36.21.2","type":"link","box":[53,90,58,92],"text":"(2010)."}]},{"id":"p36.22","type":"footer","box":[49,94,51,95],"text":"35"}]}