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Paper Citation Record · LEDGER

On the squares functor and the Gaitsgory-Rozenblyum conjectures

As of 15 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2507.07807.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.07807 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:42:26.452820Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T11:41:49.812825Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-30T02:24:13.875688Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact2
  • verified fuzzy5
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 653f78e4-6379-49d6-a304-51bb9051aa1f · outbound

This paper cites Comparing lax functors of $(\infty,2)$-categories.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Comparing lax functors of $(\infty,2)$-categories

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T18:42:23.840238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:42:23.840238Z digest=sha256:ad5b9bca626bb7d9850e51519a1cdb47be398911435518b9774536de954d0fae

Observation 0762f99e-4b3f-46ce-b4e9-7d79b7460eb9 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:30.146862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.067758Z digest=sha256:26b808bf8c7384d072360ab2c4f48f0abd288a134c393788b767fd523b24a6e8

Observation d47e4af3-84e5-43df-8490-be53dd10360e · outbound

This paper cites The Gray tensor product of $(\infty,n)$-categories.

On the squares functor and the Gaitsgory-Rozenblyum conjectures The Gray tensor product of $(\infty,n)$-categories

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T18:42:24.235198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:42:24.235198Z digest=sha256:83ea4384fb041a3d4e3c689d281075f7978558216caad53a8646f23de8e7ab21

Observation ccae6afe-c71c-4b2a-98f6-5e4cd33715d3 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 4

Resolution
verified exact
raw_fallback, observed 2026-08-06T18:42:26.964926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.336720Z digest=sha256:c884cfb22fde1cb1ec8fe6f42b41083d623c0ba7dc0227d2383b89a6bc08e81a

Observation 75b28823-e368-445e-a980-ae3a1bfdc13b · outbound

This paper cites A model-independent Gray tensor product for $(\infty,2)$-categories.

On the squares functor and the Gaitsgory-Rozenblyum conjectures A model-independent Gray tensor product for $(\infty,2)$-categories

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T18:42:24.439718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:42:24.439718Z digest=sha256:f08c181761f30648153deefba5aa3c1c0e8e671b955539e5033efa1be683237b

Observation f8d4d572-94c0-47af-aa09-5f5246736c82 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:29.957522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.557509Z digest=sha256:dd209ad9b05afd9d1a03bc32921bbceb4d9a08ae626d703096e4528d347e5baa

Observation 6edccf50-1b31-481a-8b79-5a809d059a18 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:29.793645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.691790Z digest=sha256:67564800d0d9c0bb868a56a40c3f8054fb23c608c87fe9fc4f3c600f28896b2d

Observation e83baa4f-6f95-4c6e-b31e-3fc5280c0c13 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:29.577636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.784047Z digest=sha256:b6c2e19fb1201a9cf984912cbd44bf77eb7e30afcd8df53b19c6a6fef91784f3

Observation c34aed86-6e38-4e90-a0cb-35379a2c4b4b · outbound

This paper cites 5, 1369--1385.

On the squares functor and the Gaitsgory-Rozenblyum conjectures 5, 1369--1385

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:29.445745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.878092Z digest=sha256:1c6d20aafc51d77e3c8656b660a86c375697febfe6f906229570a0588aae5c9c

Observation 7a6605f8-1649-4f1a-bf74-0216dea587b0 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:29.346500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.981363Z digest=sha256:e5ec51dc345542f35c5ea81843fe88f6f0c2f31c991ca12dded182613980d25d

Observation 86ad3737-99da-49c0-8a89-184ed6275bc2 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:29.180197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.102624Z digest=sha256:3b4ef9a3b9c446add0b55aa2d122ed1d493b14deb0bce76e60f3e262d8322b99

Observation 6561d926-1b6a-47bf-b270-85d31db8ea72 · outbound

This paper cites 391, Springer, 2006.

On the squares functor and the Gaitsgory-Rozenblyum conjectures 391, Springer, 2006

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:28.969522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.276649Z digest=sha256:498c6601c437ba63b9b8f2904c5bdfcebfcf20e2b3a260a3a0872d029c09c4dd

Observation c23c110a-e2a4-4f86-9d01-e6c148aee8ad · outbound

This paper cites Math., vol.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Math., vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:28.755060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.373186Z digest=sha256:15e6e484d8e303a26e31a98f26086a64239a948bab498db3ceaef3fad1cbab38

Observation 64b57d4d-2440-4e37-98f2-52c4dc5f54e8 · outbound

This paper cites Categorical Theory of $(\infty,\omega)$-Categories.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Categorical Theory of $(\infty,\omega)$-Categories

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T18:42:25.476009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:42:25.476009Z digest=sha256:ff608a4b248199c4cd69c964fac1ec6f26777d0390418ff426d3842c93281b44

Observation 059c1214-9809-4287-a810-831dee3f4752 · outbound

This paper cites Effectivity of Generalized Double $\infty$-Categories.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Effectivity of Generalized Double $\infty$-Categories

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T18:42:25.607300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:42:25.607300Z digest=sha256:eb83f2de62709685343de3b430b5ef2c73bebaba62ae1cea2da5a6cd122c986a

Observation 018e04a4-3537-43c9-ace1-5a79f44132de · outbound

This paper cites 170, Princeton University Press, 2009.

On the squares functor and the Gaitsgory-Rozenblyum conjectures 170, Princeton University Press, 2009

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T18:42:25.719461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:42:25.719461Z digest=sha256:3568efab0686935fcac23397d4bc5d494e7ff2eb24dae258d7f7fc7fd4fa0a63

Observation 3ba3d6a4-b584-44c4-9195-2469233e404f · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:28.547623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.824930Z digest=sha256:908a61330f883fd00da79aab6ae8b2c1668e97fdd08fb1e1b7c4cf2d13d3eb9a

Observation cf7c5477-c51f-4017-8cc8-f38573126773 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:28.347239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.927784Z digest=sha256:42f4a9f423c703d00915ff6a08ca72302d4855dcee7efa2f619b8093a3d0be65

Observation 8d872763-edc0-452e-9bb9-38e90e4bdf3c · outbound

This paper cites 1, 1-21 (2023).

On the squares functor and the Gaitsgory-Rozenblyum conjectures 1, 1-21 (2023)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:28.089417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.045911Z digest=sha256:819687c5ed2fb9c59e808c90c7e8d89f1dbefc70c90e10f9d7362d8b0f8dc825

Observation 10c81587-eb56-4098-bce2-cf4ebb3f46b3 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:27.828882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.140166Z digest=sha256:9738e56833a863e3abdd41641b767a550a4078492d0846bca22e862104402d23

Observation f287b3e4-e9bb-4084-90ee-512f3a44f351 · outbound

This paper cites Homotopy coherent companionships and conjunctions.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Homotopy coherent companionships and conjunctions

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:42:26.729712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.263916Z digest=sha256:dc076a876835c13bf1c759a617e25ed6f25efd36fb7fb31f4b6939cacdcabae1

Observation 6c6a4267-ee33-46da-a782-cdad55a20920 · outbound

This paper cites an unresolved cited work.

On the squares functor and the Gaitsgory-Rozenblyum conjectures Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:27.554389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.366704Z digest=sha256:f9299954dbae116e59b7a58cecc0e53b88d749ac749fa8760e3913e728d6e58d

Observation bb5953c0-405e-4fc5-ab37-1aa03add327c · outbound

This paper cites B asic homotopy theory , Advances in Mathematics 219 (2008), no.

On the squares functor and the Gaitsgory-Rozenblyum conjectures B asic homotopy theory , Advances in Mathematics 219 (2008), no

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:27.239188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.452820Z digest=sha256:11bf4b70261a1f4c6ae613c55a38f59ead6478bd5aa42e421bff4d85c4b0bd4d

Pith citing papers

Observation 3713ec68-5c98-4429-b269-12326eb9e429 · inbound

The Gray Product of $(\infty, n)$-Categories via Lax Grids cites this paper.

The Gray Product of $(\infty, n)$-Categories via Lax Grids On the squares functor and the Gaitsgory-Rozenblyum conjectures

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-12T11:41:49.812825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T11:41:49.812825Z digest=sha256:5a09cd68576c223104c3e50ff91310309a0c053a0368342a726e555a9b155aaa

Observation b64dd865-7985-4779-b437-c6f154dcb9ef · inbound

An Oriented Street--Roberts Conjecture cites this paper.

An Oriented Street--Roberts Conjecture On the squares functor and the Gaitsgory-Rozenblyum conjectures

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-06-30T02:24:13.877769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-30T02:09:09.143178Z digest=sha256:dd32e80fcf359ce78084d16e13826ed270cc2bfc5cf30a056871b6c7a0cc8404