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Paper Citation Record · LEDGER

Approximate Fibrations in Higher Topos Theory

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2510.24629.

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

pith.paper-citation-record.v1
2510.24629 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:48:31.868920Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T09:39:24.970808Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T00:26:23.237546Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved14
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51e09267-f37b-4085-b3f2-7aae61e71018 · outbound

This paper cites The disc embedding theorem.

Approximate Fibrations in Higher Topos Theory The disc embedding theorem

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:33.479677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f6a7f477-430b-46a5-aeba-f72b2c92b524 · outbound

This paper cites A proof of the generalized S choenflies theorem.

Approximate Fibrations in Higher Topos Theory A proof of the generalized S choenflies theorem

Reference 2

Resolution
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raw_fallback, observed 2026-08-15T15:48:33.466736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.424229Z digest=sha256:170a7cdca94bc42f2a603ea165c644e893f002df3f8ba19e2e2c63a38ae4801f

Observation 8e62b222-d256-4d14-9440-5d89cdeef04e · outbound

This paper cites Shrinking cell-like decompositions of manifolds.

Approximate Fibrations in Higher Topos Theory Shrinking cell-like decompositions of manifolds

Reference 3

Resolution
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raw_fallback, observed 2026-08-15T15:48:33.308918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.515270Z digest=sha256:07dae02eeaedffc60b6ca17e5df22bdc0484c9278acbe0725eb690bb7087f4f1

Observation 42d81863-05bd-448b-bc8f-c4fb557af6e0 · outbound

This paper cites an unresolved cited work.

Approximate Fibrations in Higher Topos Theory Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:48:33.298266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.518700Z digest=sha256:1f22ad6264b7c85faff49761cb901db6d9db6f0b8b9c4876971b2bc3cfe69c81

Observation e5b64cd2-b153-48c1-930e-e8acb93d6693 · outbound

This paper cites an unresolved cited work.

Approximate Fibrations in Higher Topos Theory Unresolved cited work

Reference 5

Resolution
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raw_fallback, observed 2026-08-15T15:48:33.263744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.522847Z digest=sha256:4f67eef55505779c6b5f5a735b1cc1a786039173fa7ca63e42c5813f7c5a283b

Observation ce5d9055-d07b-4ff2-83b1-cf1e5190b347 · outbound

This paper cites Higher categories and homotopical algebra , volume 180.

Approximate Fibrations in Higher Topos Theory Higher categories and homotopical algebra , volume 180

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T15:48:31.527210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:48:31.527210Z digest=sha256:ee880eed9222348465754b99a43871a1575eca1f5036fe358ce17a6c13ddb68a

Observation b266b21e-e069-4185-9eab-25d40e4172ff · outbound

This paper cites an unresolved cited work.

Approximate Fibrations in Higher Topos Theory Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:48:33.137402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.532238Z digest=sha256:ea11292ebf9269afff1e8dc214ea16cf74c6fb80df576c458053b11e41b9f199

Observation 2afa1181-bb54-4d06-a3e3-f9dbff3ace46 · outbound

This paper cites an unresolved cited work.

Approximate Fibrations in Higher Topos Theory Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:48:33.126537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.535714Z digest=sha256:213f588e2fde414122717635fa24cf52872fd56b56ca165ca1edc2b20bdd8e59

Observation 16413c43-dbb2-45bf-a9a0-0b73fcaac2ba · outbound

This paper cites an unresolved cited work.

Approximate Fibrations in Higher Topos Theory Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-08-15T15:48:33.115918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.539498Z digest=sha256:3228461d60b5989244a8a2c1b380481b0baae32dc3a04192ad7c02163a302614

Observation 3ab9516e-079c-4bae-9c3f-ef77d168b419 · outbound

This paper cites Approximately fibering a manifold over an aspherical one.

Approximate Fibrations in Higher Topos Theory Approximately fibering a manifold over an aspherical one

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:33.007293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.542881Z digest=sha256:7b88c909a1b7bf9bd69db7fa5ac9ba4d4e25886cf6ffdbe2ba6cc35d62103139

Observation 24f4bafb-46fd-4d94-831c-155efe8034a9 · outbound

This paper cites The topology of four-dimensional manifolds.

Approximate Fibrations in Higher Topos Theory The topology of four-dimensional manifolds

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T15:48:31.546056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:48:31.546056Z digest=sha256:4cf5d196ab19c1490a249644b85cb62376c86db1dfe2d170eb73399d8a02e3dc

Observation c9bd77b7-087f-4715-82f4-e44f71ec2647 · outbound

This paper cites Some theorems on absolute neighborhood retracts.

Approximate Fibrations in Higher Topos Theory Some theorems on absolute neighborhood retracts

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:32.891123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.550184Z digest=sha256:df5e53e422759e20b06b35a71bd5ed50b64ed4bddea38e723533d36812495989

Observation d22973df-284a-437c-aebe-fc8e85d64267 · outbound

This paper cites Higher galois theory.

Approximate Fibrations in Higher Topos Theory Higher galois theory

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:32.793133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.553508Z digest=sha256:fa9be5550831e03fbf21de25c829a1ec7e5bb85bd5811cf0a00af7d2ddcc432e

Observation 45c08bb2-b19e-40fe-86d1-ac9340857849 · outbound

This paper cites an unresolved cited work.

Approximate Fibrations in Higher Topos Theory Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:48:32.619131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.556560Z digest=sha256:29c9d115d4b64efbaf39f5c61e0943eebcfa310391738d7f10d54458ea237107

Observation 0f0f3d3e-a0e4-4a42-a435-b2a0dea334d8 · outbound

This paper cites Taylor, Shmuel Weinberger, and Bruce Williams.

Approximate Fibrations in Higher Topos Theory Taylor, Shmuel Weinberger, and Bruce Williams

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:32.608524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.602422Z digest=sha256:223966788c1cb6dc5058c937377f9f4c815ad790bcd8deae72310ff53bf1804e

Observation 15c81a88-c8b6-4160-9800-a99b9ef59b0b · outbound

This paper cites Cell-like mappings.

Approximate Fibrations in Higher Topos Theory Cell-like mappings

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.681256Z digest=sha256:3344fd85af569c1426c009cb9d05ac3b42330bdf4dbf5e8f2c13892de0931b9d

Observation 0a8464d9-b454-4c81-9a0d-f2ceab41cfe0 · outbound

This paper cites Higher topos theory.

Approximate Fibrations in Higher Topos Theory Higher topos theory

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:32.525243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.705160Z digest=sha256:21a3af03b7cc2795238ce5e5bf445be9579713a85754b5ab8f481f5ca467d1e2

Observation 297501f1-4332-41c4-a434-36ca664a4022 · outbound

This paper cites Higher algebra.

Approximate Fibrations in Higher Topos Theory Higher algebra

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:32.363632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.708686Z digest=sha256:88b4d654eb7c04cb25aad672e33d0eaad5db83e210df6be67f64c797cd7dfc2f

Observation 1ec03142-06c3-4ff2-83f9-368462eff430 · outbound

This paper cites Yoneda's lemma for internal higher categories.

Approximate Fibrations in Higher Topos Theory Yoneda's lemma for internal higher categories

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T15:48:31.712273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:48:31.712273Z digest=sha256:b23b9ad0e1ac63fd4de0a057ce238dd4e023a406770c1a8af8b370cb2c286230

Observation 60eb6006-6d0f-47a7-a39e-51b059952c09 · outbound

This paper cites On spaces having the homotopy type of a CW -complex.

Approximate Fibrations in Higher Topos Theory On spaces having the homotopy type of a CW -complex

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T15:48:31.717224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:48:31.717224Z digest=sha256:505debd06564e923691267018317a69071d3db5e2a1349146cb6fca1c49ab20d

Observation 671d2ba2-974d-4d3f-bfdb-20b0436487d3 · outbound

This paper cites Colimits and cocompletions in internal higher category theory.

Approximate Fibrations in Higher Topos Theory Colimits and cocompletions in internal higher category theory

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T15:48:31.720943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:48:31.720943Z digest=sha256:353ca1bc8f5fff61cd0b9cc7740a0c8779d7c29bde61dfb8f5ae3be5fac10c92

Observation df790355-304b-45d3-a9fd-743fb82d39ae · outbound

This paper cites Proper morphisms of -topoi.

Approximate Fibrations in Higher Topos Theory Proper morphisms of -topoi

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:32.344780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.725100Z digest=sha256:b3a4732e42d39ffd39ddafb728f84ffb809c32303dca6967dafb71dfb7c2a99e

Observation e255a3e0-5e68-4726-9c7f-f36d29b8c684 · outbound

This paper cites Presentability and topoi in internal higher category theory.

Approximate Fibrations in Higher Topos Theory Presentability and topoi in internal higher category theory

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-15T15:48:31.728516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:48:31.728516Z digest=sha256:4876107d08312c485409afc2b2a0a60f6dde861705069207374ce125c593cb71

Observation 7ff74189-d900-4b18-afc8-ec640ae2c855 · outbound

This paper cites Algebraic K -theory in G eometric T opology, 2023.

Approximate Fibrations in Higher Topos Theory Algebraic K -theory in G eometric T opology, 2023

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:32.294323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.790354Z digest=sha256:84d14fcf7d94ea02f5a10308af2743296f6b0d96da13511e06213b8834258a69

Observation 5ac60390-1de7-4b51-9bb3-ffe02bb8aa9d · outbound

This paper cites an unresolved cited work.

Approximate Fibrations in Higher Topos Theory Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:48:32.092679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.827795Z digest=sha256:6c4586a94510424f5016a385d37e88d509b606f5e3b4620a52b4b162415f10a1

Observation 8db00dd3-7e5a-4ab2-8db4-b523310d41b8 · outbound

This paper cites The six operations in topology.

Approximate Fibrations in Higher Topos Theory The six operations in topology

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-15T15:48:31.860492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:48:31.860492Z digest=sha256:256f67430030d8a58033074c5d6b3ba6cb492b3e7ebf566e8e8beeaa6a78f061

Observation 6c34e9e7-3f9b-4fa7-b065-3667dac33885 · outbound

This paper cites Verdier duality on conically smooth stratified spaces.

Approximate Fibrations in Higher Topos Theory Verdier duality on conically smooth stratified spaces

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:32.057516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.864080Z digest=sha256:618dc8e1e96a57f388513e601796138e12984a6b5e5125284b325b7524058826

Observation b92ab678-13b4-4323-a244-03268371a5c8 · outbound

This paper cites Mapping H ilbert cube manifolds to ANR 's: a solution of a conjecture of B orsuk.

Approximate Fibrations in Higher Topos Theory Mapping H ilbert cube manifolds to ANR 's: a solution of a conjecture of B orsuk

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:48:32.044248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.868920Z digest=sha256:6141aaa9407c9c2e09738f0641025e9316f5fd35a1492ac5ac3320bfe0640d29

Pith citing papers

Observation 1269b5ac-c56f-4424-97c9-79e3cc2ef9bc · inbound

Homology manifolds via six functor formalisms cites this paper.

Homology manifolds via six functor formalisms Approximate Fibrations in Higher Topos Theory

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-10T02:19:32.947334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-02T00:20:57.033599Z digest=sha256:f731b8a7e5163c09f4bb7c1b1b180f53bb939a2603e372c60880e0093dc0a983

Observation 9b625850-88eb-42dd-a0fb-264e13f78213 · inbound

Homology manifolds via six functor formalisms cites this paper.

Homology manifolds via six functor formalisms Approximate Fibrations in Higher Topos Theory

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-12T09:39:24.970808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:39:24.970808Z digest=sha256:4b24071ab22206a279ff9884d6e96907c6aa8c0e9329a1223d8a0598fadfaec0