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Paper Citation Record · LEDGER

On the squares functor and the Gaitsgory-Rozenblyum conjectures

As of 22 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 2026-08-22T06:32:14.747728+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=sha256:5998bf7b38375ff69b38e93a78f85ad391d309645173f9304fb303e7399d71a1

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.067758Z digest=sha256:1aa48bf37b62d4a73dfc771e842921e2fca5140666f46071a0281ea10f550280

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=sha256:4eb69e9f063449e862901957ff2dda74bd85cf471f68187c55a8a255f9c89e40

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.336720Z digest=sha256:62b825ec8834e46f13ef2d87547f25071f33ca1e56a790430efee7168857107d

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=sha256:4c91700b690a8f657b089ae81105b089ebef1ea025ed7501e5a005754c9ff8ae

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.557509Z digest=sha256:823db8e166cc2c0932b66a08c16c70d6fbf370b2b434e0eb784e3251222e6223

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.691790Z digest=sha256:4fbc9e95cc34fe761e8d0f878a885f007ba1f69ebd6605e9ff004a37049efe60

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.784047Z digest=sha256:23dbc60f6d8ec80af9bfc8af09d2bf646f4397391988d6cd08fc9fed470387d6

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.878092Z digest=sha256:8b92c5470563e24d5c5d4e6c38e8b2876307431e2771dafffefa3f3ce070bb02

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:24.981363Z digest=sha256:5ef6efd06df62bf2c7f4aa18d6596ba60d8895611062293a79b6d642a8b774e0

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.102624Z digest=sha256:28061286f548b3d686edc5845695b1b5a8df82c3a8bd1764fa6cc58c5de4e753

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.276649Z digest=sha256:7fe3b109b3411693ed1d4fbee054a0795affedef499b61ff0d8b3cb1a2770952

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.373186Z digest=sha256:68b33fbff8e1b1969fccec16ad708eec6bfceeb2eea61fe88b12c0f4ab860798

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=sha256:6773f79a6eb91c20164b4d4278e766550245aeb90d926f2b8d147e67be1e9721

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=sha256:79358cc1524826358ecfc1b818bd599274ae3c5fc250e97a753ff80445d91ad8

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=sha256:5b7985e71d40c9fc934825437cb2e9ef9b0e2b5e392cacf07f6907637c174fd7

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.824930Z digest=sha256:95c7baec8c7c52f8e3359484ebd61224822ee935c7cd3a86d6f17ea9ce75ef55

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:25.927784Z digest=sha256:1988ae6be6091601ff9bb579e8de8bfa2fd722f59073577fb0877d536b124a29

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.045911Z digest=sha256:597188fe50997c6418f6291df6b166f3183532f38b7e55833d1c740a106d9d96

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.140166Z digest=sha256:ca56addc93d9aca4920c62fadd743ab9485f82f4de674f535e8ad8acc36ed854

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.263916Z digest=sha256:f3886b2f8a0f959fad49e8f39e31dc7e3822e804a6908b4ea3b33f3d6c054242

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.366704Z digest=sha256:33541c04340108c814b7fc3dd9b21a9f1c0ed362c0895d9b56ff932345477c21

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T18:42:26.452820Z digest=sha256:d2dd9668d7c2d9007978c98a64090f149aee3f69e97533f0ef7cd7398d44c321

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:fcc343d99e566117973de5fcdbaeef059d364a9de99290cc8083d71ad9c908a6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-30T02:09:09.143178Z digest=sha256:fbd83d897af545d5e0241ec6def82b9c57779b7cb69e3ea3265ac694cedf9c8c