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Paper Citation Record · LEDGER

Synthetic perspectives on spaces and categories

As of 10 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 1 inbound Pith citation observation for arXiv:2510.15795.

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

pith.paper-citation-record.v1
2510.15795 v2

Coverage vector

measured 69 of 69 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:25:58.212675Z

measured 70 of 70 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T01:26:37.719299Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

69 of 69 outbound references displayed

  • verified exact11
  • verified fuzzy0
  • unresolved58
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fe0ed7de-951b-4b09-a27c-cf8c162111ff · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

Reference 1

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Unavailable: canonical work link unavailable.

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Observation b390fbbc-2c69-4ee4-94f4-cadf9d828c35 · outbound

This paper cites Altenkirch, Y.

Synthetic perspectives on spaces and categories Altenkirch, Y

Reference 3

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doi, observed 2026-08-04T09:28:28.639584Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation ad6120f8-edfa-4bf3-a816-2d6c0377acf6 · outbound

This paper cites Antol\'in Camarena , A whirlwind tour of the world of ( ,1) -categories , in Mexican mathematicians abroad: recent contributions, vol.

Synthetic perspectives on spaces and categories Antol\'in Camarena , A whirlwind tour of the world of ( ,1) -categories , in Mexican mathematicians abroad: recent contributions, vol

Reference 4

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Observation cf671fea-a9cf-4beb-81bf-4e8f3ff39402 · outbound

This paper cites The equivariant model structure on cartesian cubical sets.

Synthetic perspectives on spaces and categories The equivariant model structure on cartesian cubical sets

Reference 5

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source=arxiv_source observed=2026-08-04T09:25:54.510136Z digest=sha256:a858f6eb68bacdd7d2da0607d8cf059997f30d2d0cf9a675fa577f09a52127a9

Observation e25f56e7-e5ed-48e1-a4c0-28dfa446f03d · outbound

This paper cites Awodey and M.

Synthetic perspectives on spaces and categories Awodey and M

Reference 6

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source=arxiv_source observed=2026-08-04T09:25:54.665289Z digest=sha256:1656621f304f825c2163f37867ce8b2def95450873a00b74816fe608e0cbea3d

Observation 8f3c51a6-5faf-46ff-9544-1c32e310b87c · outbound

This paper cites Bardomiano Mart\' i nez , Limits and colimits of synthetic -categories , 2024, https://arxiv.org/abs/2202.12386.

Synthetic perspectives on spaces and categories Bardomiano Mart\' i nez , Limits and colimits of synthetic -categories , 2024, https://arxiv.org/abs/2202.12386

Reference 7

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source=arxiv_source observed=2026-08-04T09:25:54.813772Z digest=sha256:0cd7a7367db3cc4343309879d2b2f9ea040829beff8da958d6f9c92e5094f7d8

Observation 699260ad-a1bc-4df0-a398-e9461a9bea5b · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

Reference 8

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source=arxiv_source observed=2026-08-04T09:25:54.925481Z digest=sha256:d00c3103d06fd2d47d1ca0272263d56780e205b458294ebcd97738294eab987f

Observation ef987595-9146-46c1-a1a6-d4126a405ee0 · outbound

This paper cites Bezem, U.

Synthetic perspectives on spaces and categories Bezem, U

Reference 9

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source=arxiv_source observed=2026-08-04T09:25:55.035256Z digest=sha256:1b98ca1c9f8e318c8fa8094aa4db99fba8df9383b6f0fcf0b3a6a0860a34a058

Observation 4a682ba0-84d4-4ff7-9d72-c266361819c9 · outbound

This paper cites Blechschmidt , Using the internal language of toposes in algebraic geometry , PhD thesis, Universit\" a t Augsberg, 2017.

Synthetic perspectives on spaces and categories Blechschmidt , Using the internal language of toposes in algebraic geometry , PhD thesis, Universit\" a t Augsberg, 2017

Reference 10

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Observation 4ffc358b-2171-4227-866a-c15a67b8fe60 · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

Reference 11

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Observation 27ff3e30-b6b9-4090-8f48-97b32f5db0c5 · outbound

This paper cites Brunerie , The J ames construction and _4( S ^3) in homotopy type theory , J.

Synthetic perspectives on spaces and categories Brunerie , The J ames construction and _4( S ^3) in homotopy type theory , J

Reference 12

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Observation c3ed8df8-a3e2-4f32-88d3-1cd3c9e4e57e · outbound

This paper cites Buchholtz, J.

Synthetic perspectives on spaces and categories Buchholtz, J

Reference 13

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Observation 59535581-4e76-4ea8-bed9-a9e3a39e7bc6 · outbound

This paper cites Buchholtz, F.

Synthetic perspectives on spaces and categories Buchholtz, F

Reference 14

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Observation 758989a9-badd-4b47-94e3-c51c61b66faf · outbound

This paper cites Buchholtz and J.

Synthetic perspectives on spaces and categories Buchholtz and J

Reference 15

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Observation 6650d5b7-9174-4699-bd5b-d8c2cc6e1148 · outbound

This paper cites Cavallo, A.

Synthetic perspectives on spaces and categories Cavallo, A

Reference 16

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Observation bbe76f16-8254-4589-b139-95a09ed3d6ff · outbound

This paper cites Cavallo, E.

Synthetic perspectives on spaces and categories Cavallo, E

Reference 17

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Observation 36dae8d6-1990-4d8f-96db-551881622828 · outbound

This paper cites Cavallo and C.

Synthetic perspectives on spaces and categories Cavallo and C

Reference 18

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Observation fb3d97b7-d511-4a96-abef-09d3d92cb0de · outbound

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Synthetic perspectives on spaces and categories Unresolved cited work

Reference 19

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Observation a1406d08-5515-4c6a-88e3-94f56b0ec7d8 · outbound

This paper cites Cherubini, T.

Synthetic perspectives on spaces and categories Cherubini, T

Reference 20

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Observation 14f972fc-5e7b-457a-ad7b-7e71e315dc9f · outbound

This paper cites Cherubini, T.

Synthetic perspectives on spaces and categories Cherubini, T

Reference 21

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Observation 5b8ad781-befc-4df0-8daf-b8bc5728ebeb · outbound

This paper cites Cisinski , Higher categories and homotopical algebra , vol.

Synthetic perspectives on spaces and categories Cisinski , Higher categories and homotopical algebra , vol

Reference 22

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Observation 5577fa9b-fc46-4b25-82ac-279d7cd27976 · outbound

This paper cites Cisinski, B.

Synthetic perspectives on spaces and categories Cisinski, B

Reference 23

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Observation 41a8c321-7e36-4ebc-afd1-ff24848c2f2c · outbound

This paper cites The universal coCartesian fibration.

Synthetic perspectives on spaces and categories The universal coCartesian fibration

Reference 24

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Observation 9da4c518-9b87-4bb1-84c1-ffea1fbec991 · outbound

This paper cites Clausen and P.

Synthetic perspectives on spaces and categories Clausen and P

Reference 25

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Observation c5f3f8f8-2e2a-44b6-97f9-512862a6e334 · outbound

This paper cites Coquand and N.

Synthetic perspectives on spaces and categories Coquand and N

Reference 26

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Observation c6b11004-4457-401a-ac06-acbb2e848644 · outbound

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Synthetic perspectives on spaces and categories Unresolved cited work

Reference 27

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source=arxiv_source observed=2026-08-04T09:25:57.388669Z digest=sha256:282fa01666aa71a32df105153bc05c1d8a536f476c18a4ffc45aecafdcec4c57

Observation 20ff17fb-dd1c-4a7d-9be3-af1cc8d94ca7 · outbound

This paper cites Eilenberg and J.

Synthetic perspectives on spaces and categories Eilenberg and J

Reference 28

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Observation a8ac5263-68a4-4a81-b907-549e81a6d1fd · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

Reference 29

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Observation 7bc9c7c8-8a3f-4657-82e3-db5df3c6406a · outbound

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Synthetic perspectives on spaces and categories Gabriel and M

Reference 30

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Observation 5e18a6f6-0a3a-4b56-95c5-8cbd2f8949e7 · outbound

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Synthetic perspectives on spaces and categories Gambino and R

Reference 31

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 84c7caa7-3a0b-4ec2-9523-20d4ac404f45 · outbound

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Synthetic perspectives on spaces and categories Gambino and C

Reference 32

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Observation 20387b54-e685-4819-ab36-17ebd5ae861a · outbound

This paper cites Gratzer, J.

Synthetic perspectives on spaces and categories Gratzer, J

Reference 33

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Observation 55aa1f47-97b6-4d97-9d59-34e6a49aabbd · outbound

This paper cites Gratzer, J.

Synthetic perspectives on spaces and categories Gratzer, J

Reference 34

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Observation 91ffe1ab-209c-4838-9175-66f9f8f30b35 · outbound

This paper cites Grothendieck , Sur quelques points d'alg\`ebre homologique , Tohoku Math.

Synthetic perspectives on spaces and categories Grothendieck , Sur quelques points d'alg\`ebre homologique , Tohoku Math

Reference 35

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Observation dc34ad57-922b-40be-b57b-cb3debe10bda · outbound

This paper cites Grothendieck , Pursuing stacks (\`a la poursuite des champs).

Synthetic perspectives on spaces and categories Grothendieck , Pursuing stacks (\`a la poursuite des champs)

Reference 36

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Observation 534c9e56-ad6a-4980-b8cb-bee5d6f8e3c9 · outbound

This paper cites Joyal , Quasi-categories and K an complexes , vol.

Synthetic perspectives on spaces and categories Joyal , Quasi-categories and K an complexes , vol

Reference 37

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Observation 446e5261-45b6-47de-a9c2-8c03d8064897 · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

Reference 38

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Observation 27478818-8b80-4b05-ac4d-67c4ad4303b2 · outbound

This paper cites Kapulkin and P.

Synthetic perspectives on spaces and categories Kapulkin and P

Reference 39

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Observation 811ec912-5b42-40d1-bcbb-cd431719c9a2 · outbound

This paper cites Kazhdan and Y.

Synthetic perspectives on spaces and categories Kazhdan and Y

Reference 40

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Observation 831d48d0-e4ed-434c-b85b-f51b1bb72162 · outbound

This paper cites Kudasov , Rzk , https://github.com/rzk-lang/rzk.

Synthetic perspectives on spaces and categories Kudasov , Rzk , https://github.com/rzk-lang/rzk

Reference 41

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Observation eb531d94-4643-479a-a1fa-2817c8cd9286 · outbound

This paper cites Kudasov, E.

Synthetic perspectives on spaces and categories Kudasov, E

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source=arxiv_source observed=2026-08-04T09:25:58.039445Z digest=sha256:93718012f3093d0b0209a45b991789690e65dd3590aa8ca207e0d62293d4e816

Observation 458ecbdf-fd9f-4b44-9219-563f9c602264 · outbound

This paper cites om and A. M\.

Synthetic perspectives on spaces and categories om and A. M\

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source=arxiv_source observed=2026-08-04T09:25:58.044722Z digest=sha256:fcaefc7d2d1b74e7c8ee3e34041442e2a0cb6bc9b88ba22bab8ebff740dfc62b

Observation 1a5c79e7-4c7e-4fcc-9672-dcc7e988e8bb · outbound

This paper cites Lurie , Higher topos theory , vol.

Synthetic perspectives on spaces and categories Lurie , Higher topos theory , vol

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source=arxiv_source observed=2026-08-04T09:25:58.050891Z digest=sha256:3fb65f6732565f72090ef1b3ba3d6deca333646f8812f76e427cdc1c7885d8aa

Observation ef6f2252-b14d-4cc7-bfae-09c9491f504b · outbound

This paper cites Mac Lane and I.

Synthetic perspectives on spaces and categories Mac Lane and I

Reference 45

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source=arxiv_source observed=2026-08-04T09:25:58.056021Z digest=sha256:16aa301ff49d7a3f2d01745a27d30333849a0ed02a6713f034e3ca5ca9380ea7

Observation 5fbb076a-b244-4125-873e-7fb67a206f12 · outbound

This paper cites Makkai , First order logic with dependent sorts, with applications to category theory.

Synthetic perspectives on spaces and categories Makkai , First order logic with dependent sorts, with applications to category theory

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source=arxiv_source observed=2026-08-04T09:25:58.061649Z digest=sha256:97c6a75a0191b876292f86527227e2243b0ac4cfa044d6b0fed47e654269854a

Observation 6cc34258-7cba-4f57-b55d-fafcfb69bbb8 · outbound

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

Synthetic perspectives on spaces and categories Yoneda's lemma for internal higher categories

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source=arxiv_source observed=2026-08-04T09:25:58.066394Z digest=sha256:ef950b52a6ff0e6a3c2d579109b8b9dcf647cf4517f22dea17195a521383ea18

Observation 4bdd77e2-044c-46d6-9b56-df6cf1c748b6 · outbound

This paper cites Martini and S.

Synthetic perspectives on spaces and categories Martini and S

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source=arxiv_source observed=2026-08-04T09:25:58.073659Z digest=sha256:64c70b050db00e46b55c36dd8dce6d875c244ee6fd5f74c7f11605a89b6737c4

Observation cd130a59-2154-4821-9fd5-7fb594f2bae7 · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

Reference 49

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source=arxiv_source observed=2026-08-04T09:25:58.079142Z digest=sha256:4188a0255806522ac5608c125b1e4202e0696582386b2f104151ca539f1df228

Observation 1572778c-ea06-47a0-9f1c-50c6a90d55cc · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

Reference 50

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source=arxiv_source observed=2026-08-04T09:25:58.084468Z digest=sha256:45c44989a93d7056d4798d44444c37b379d9e0e7d81b1ad528fa52a1a56bc609

Observation f746ad08-9f42-410b-bb5b-41dc9ad46afb · outbound

This paper cites Simplicial Homotopy Type Theory is not just Simplicial: What are $\infty$-Categories?.

Synthetic perspectives on spaces and categories Simplicial Homotopy Type Theory is not just Simplicial: What are $\infty$-Categories?

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source=arxiv_source observed=2026-08-04T09:25:58.092218Z digest=sha256:64a71d0363693cc63ec55f0295e82274aef8063fc07578329fa715e31c63f978

Observation 6d91c936-c935-47cf-a3b4-38a704632b65 · outbound

This paper cites Rezk , Toposes and homotopy toposes.

Synthetic perspectives on spaces and categories Rezk , Toposes and homotopy toposes

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source=arxiv_source observed=2026-08-04T09:25:58.098862Z digest=sha256:1b1bc72fe7c5edc14382cc63b21b1f4cd5c280a333a61e2e3e7c0ed7b9499335

Observation ffa9361a-4a57-4f75-aa4b-bc12783eda5e · outbound

This paper cites Riehl , Could -category theory be taught to undergraduates? , Notices Amer.

Synthetic perspectives on spaces and categories Riehl , Could -category theory be taught to undergraduates? , Notices Amer

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source=arxiv_source observed=2026-08-04T09:25:58.104525Z digest=sha256:b3ca1e4505d1bccf5f6d1272bfc57a0f2026eb930a63e5a2ec0a488fd4d33db6

Observation e07e218a-83bf-4eae-95af-3a591fc68038 · outbound

This paper cites Riehl , On the -topos semantics of homotopy type theory , Bull.

Synthetic perspectives on spaces and categories Riehl , On the -topos semantics of homotopy type theory , Bull

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source=arxiv_source observed=2026-08-04T09:25:58.109439Z digest=sha256:bf0e471fee9fa1f7232489ff58dc24e4686908abe3e07b61eee2ed4ae5b31c83

Observation eb87a23a-20e4-4d8d-8ea9-1943ce3d632c · outbound

This paper cites Riehl and M.

Synthetic perspectives on spaces and categories Riehl and M

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source=arxiv_source observed=2026-08-04T09:25:58.115800Z digest=sha256:5ba9496567775c3e98f0e6a632254e69afcc04c61f5f95de8e9e807fb02c60c6

Observation 36791e0f-a0f4-489d-b488-fff4d4d268cf · outbound

This paper cites Riehl and D.

Synthetic perspectives on spaces and categories Riehl and D

Reference 56

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source=arxiv_source observed=2026-08-04T09:25:58.122860Z digest=sha256:3f2649cdb5c05c037ab4f1899e1a2209df784f5f6b84f01b1ccf4f515f299f53

Observation 199f6888-64d5-4726-83aa-7c56aa180637 · outbound

This paper cites Riehl and D.

Synthetic perspectives on spaces and categories Riehl and D

Reference 57

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source=arxiv_source observed=2026-08-04T09:25:58.130323Z digest=sha256:e0d20ec292a46a205114686310e055f191488afa58c6adf16cf798f64618bd7e

Observation 7e4e882d-8dbe-4b71-936f-bff59ddc1246 · outbound

This paper cites Introduction to Homotopy Type Theory.

Synthetic perspectives on spaces and categories Introduction to Homotopy Type Theory

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source=arxiv_source observed=2026-08-04T09:25:58.136473Z digest=sha256:b6c85adf4844d795ab8ca71133fd1ccfef9d901b04ccd069e608433ea872d561

Observation 739fc408-bf70-42f4-8a11-2914c7f187b6 · outbound

This paper cites Shulman , The univalence axiom for elegant R eedy presheaves , Homology Homotopy Appl., 17 (2015), pp.

Synthetic perspectives on spaces and categories Shulman , The univalence axiom for elegant R eedy presheaves , Homology Homotopy Appl., 17 (2015), pp

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source=arxiv_source observed=2026-08-04T09:25:58.144161Z digest=sha256:5b3ff15ceaacc8c84ee781fc91292a371cf563775a658b3e9dd0598e68faff73

Observation 66860147-2a5b-4ffd-ad80-b1cc8b1371a7 · outbound

This paper cites Shulman , Homotopy type theory: a synthetic approach to higher equalities , in Categories for the working philosopher, Oxford Univ.

Synthetic perspectives on spaces and categories Shulman , Homotopy type theory: a synthetic approach to higher equalities , in Categories for the working philosopher, Oxford Univ

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source=arxiv_source observed=2026-08-04T09:25:58.151429Z digest=sha256:e71d8280a063d20e6ab75de9a0559e2befca528fe31ae77a9dc250f53fb6a3f7

Observation 4451349d-b56b-4e3a-8892-c1af80674247 · outbound

This paper cites All $(\infty,1)$-toposes have strict univalent universes.

Synthetic perspectives on spaces and categories All $(\infty,1)$-toposes have strict univalent universes

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source=arxiv_source observed=2026-08-04T09:25:58.156735Z digest=sha256:9d450595a9c684550c33571301bc6fd204fd223bbfd83f16225b9abf5869e176

Observation 5bc15a82-6d62-44f7-ad7f-394ea0f61aa0 · outbound

This paper cites Shulman , Strange new universes: proof assistants and synthetic foundations , Bull.

Synthetic perspectives on spaces and categories Shulman , Strange new universes: proof assistants and synthetic foundations , Bull

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source=arxiv_source observed=2026-08-04T09:25:58.164060Z digest=sha256:a1129bd672dfab5c99fbde38d0534d997b559ad3d08f57a2a17b842879dbc34b

Observation 847e6384-1b28-43df-85c3-e3d9645be7c2 · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

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source=arxiv_source observed=2026-08-04T09:25:58.170369Z digest=sha256:a4c5852614344b3e85fd1092a23a047d9e98c9862a0aa03ea100d88faa22321c

Observation f9eb0b46-eb79-4a91-bff0-567bc0e4b147 · outbound

This paper cites Stenzel , On univalence, Rezk completeness, and presentable quasi-categories , PhD thesis, University of Leeds, 2019.

Synthetic perspectives on spaces and categories Stenzel , On univalence, Rezk completeness, and presentable quasi-categories , PhD thesis, University of Leeds, 2019

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source=arxiv_source observed=2026-08-04T09:25:58.176647Z digest=sha256:0185a69e3e6b23704f1c0cc777dc257fd2356397a8f20e09dec8ac4f5039026e

Observation ccef6cfa-655f-4d57-a508-f4c9d63bf91f · outbound

This paper cites Street , Fibrations in bicategories , Cahiers Topologie G\'eom.

Synthetic perspectives on spaces and categories Street , Fibrations in bicategories , Cahiers Topologie G\'eom

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source=arxiv_source observed=2026-08-04T09:25:58.183974Z digest=sha256:d741fa9228df77aa561a30eb21e8296221163696693af787c8d24790fbb56c38

Observation ee8fdd5f-6e11-4072-b21e-91dc14ffc433 · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

Reference 66

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source=arxiv_source observed=2026-08-04T09:25:58.189325Z digest=sha256:466c0aa5b2196198d64ce2b1118a0ec3b6b3d9aef4b819931814c3c01a8d6147

Observation 9fda7f6e-ab6f-4e14-969d-4a62e1c144a1 · outbound

This paper cites Verdier , Des cat\'egories d\'eriv\'ees des cat\'egories ab\'eliennes , Ast\'erisque, (1996), pp.

Synthetic perspectives on spaces and categories Verdier , Des cat\'egories d\'eriv\'ees des cat\'egories ab\'eliennes , Ast\'erisque, (1996), pp

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source=arxiv_source observed=2026-08-04T09:25:58.194033Z digest=sha256:39f9bf0aa037dbe95a978c9efc956de7c87574ff929da0211264a95cac1f82e5

Observation b3acfe23-c6c8-4b8b-89f1-632626806715 · outbound

This paper cites an unresolved cited work.

Synthetic perspectives on spaces and categories Unresolved cited work

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source=arxiv_source observed=2026-08-04T09:25:58.200335Z digest=sha256:68700f716bf346108f1c40beae12d735c8e2ff3262afff062dcb29be1a121c89

Observation 5f644937-bc91-436c-a8f5-6173f9fb170b · outbound

This paper cites Strict stability of extension types.

Synthetic perspectives on spaces and categories Strict stability of extension types

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source=arxiv_source observed=2026-08-04T09:25:58.205213Z digest=sha256:202835d6f7ff0ff3caff0abb5c956e2c409c9790a4519caca993902e88d872da

Observation bca75930-4ac9-449a-940c-2a3a04ccf549 · outbound

This paper cites Weinberger , Two-sided cartesian fibrations of synthetic ( ,1) -categories , J.

Synthetic perspectives on spaces and categories Weinberger , Two-sided cartesian fibrations of synthetic ( ,1) -categories , J

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source=arxiv_source observed=2026-08-04T09:25:58.212675Z digest=sha256:d8a38333453e7ebc1c04125f44a52d7c17dbd496ba2d4f8df1047f24727b8155

Pith citing papers

Observation f66193fe-90da-4cf8-a0ce-46fd3234abe9 · inbound

Internal Algebraic Type Theory cites this paper.

Internal Algebraic Type Theory Synthetic perspectives on spaces and categories

Reference 17

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