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Paper Citation Record · LEDGER

Approximate Fibrations in Higher Topos Theory

As of 24 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.359949Z digest=sha256:b8648d7668d3b010cfb1a0f38d922c99cd19d05da57931c571750b26f81859fb

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
verified fuzzy
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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.424229Z digest=sha256:b8bf0fe9935fae01848657ec3426c3e143bcae2d231e727d96c65fc2742ea0dd

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.515270Z digest=sha256:96b70ff638f22aeee7864eaae0354b8dadeaf1f9ea2c0cf88fc8476e249b7783

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
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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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.518700Z digest=sha256:b479196f573b8f05ecd557308a5c69ad9ad76eba2dee49a55fe49d93990bb80a

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
unresolved
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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.522847Z digest=sha256:64dde903c30cc00c572220f06af91801b134a6b846e6bf2dbc8b1759d5380028

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=sha256:644e4c85088a22d2856f8682fe54f7b82900c006fb18382ea6cee8cc83016c4e

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.532238Z digest=sha256:7bc2d03a12518b21d832b744fc766b1df635aff976c4f4c5beb038322951e0e3

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.535714Z digest=sha256:22b96d7569981d49cc6a320c8cb74ed828c8cc0aa2bced372d922281087335f4

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
unresolved
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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.539498Z digest=sha256:1c88aeb8f967985e266b7588874fbddad90dcf6887f34904ce2018dd5dd348df

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.542881Z digest=sha256:b31c340ed074bd08205063f971bbb640fb8b13858bd7be2776a623e0a8e87af2

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=sha256:43c4af9bf075d729906181b20157e9fc674f1a80c04e9aa1492b4b99a33996df

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.550184Z digest=sha256:f5d866f4bcf2e5d72f5d4c486651053c570efbc2868ffeb9e1de61ff503954ea

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.553508Z digest=sha256:22fbb34ac96e56cda939814a6ed4cfa09f096b05ffe7a30920359fafe23529f6

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.556560Z digest=sha256:04ab923f42cc5c6a9e2293d4ade9b364018330171365da44f1521117be9ebb72

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.602422Z digest=sha256:bc92e9af68132fb139a155a6c2474714ec5468d7060e22d1c23448605e8884f7

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
raw_fallback, observed 2026-08-15T15:48:32.598277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.681256Z digest=sha256:fb8dc999c0455abdd9798650243e9d61e93ede13299c4b36ae17cd5710b170fc

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.705160Z digest=sha256:a896f59d669832cda0bee7a805e709ec35a0506a2f10d5bf1c8f5b315cd0e271

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.708686Z digest=sha256:3719dc49cd2074aebdfb33f1fe33fb0b63736d64d496cad87228817d4658e4ca

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:af3074b894c44eff5011eaf634ee80b91ac4be7ad46c778612e2f105f9d202df

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:c10392c4cd8545f7d74e4944c8457f0cd71d74c25020e6c4dfb50de5476892cd

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:e2f3f53abd0590c7c8f1d59f7b43abc18cc7d7d9832ec1bc1f568104808486da

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.725100Z digest=sha256:58ebe09496424423fa33181d4f29acf8d89e0289c8bd3c0ea64f77e0d1ab5724

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=sha256:7b7bedad2e0a03f8095eef41e3cc30d3b8c77d15369b78e9e321616e600950b4

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.790354Z digest=sha256:79d13b9c49dfc1f05486dedf9033552245fa524f335d6d37d3036d426ea03d59

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.827795Z digest=sha256:d01fb1f62d4ff20788ed8ca6db8307c80404a8043875d0153dc78d6d1f0405e2

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=sha256:7949f7d4f1987d6b89e014448705f5f5a68a4c991a8c2db49b5f297cc8972238

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.864080Z digest=sha256:c9933c024fc433b2db57a3014cf9178791f0766e10804c452c2706113035ff21

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:48:31.868920Z digest=sha256:8c382b97203a37c2efeae81ddb5767dc74d76273eda0563caaa990bf22dbca5c

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-02T00:20:57.033599Z digest=sha256:93b308e737a5ff9abe5e07ef5ef106f6c10fad8f43b470ef983fb8c07d28a77a

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=sha256:482ffea095b2db2c2375c230897ae12c91a49d629e874db4f55c95f7b0a9cb60