Paper Citation Record · LEDGER

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories

As of 3 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2603.09903.

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

pith.paper-citation-record.v1
2603.09903 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-15T13:17:58.312879Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:32:04.991373Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T02:24:13.858757Z

Reference resolution

38 of 38 outbound references displayed

verified exact10
verified fuzzy22
unresolved4
parse uncertain0
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External citation measurements

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Outbound references

Observation 92e25193-0fdc-4886-9479-c15e3b9b39f9 · outbound

This paper cites The folk model category structure on strictω-categories is monoidal.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories The folk model category structure on strictω-categories is monoidal

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.556331Z

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Observation c57e4196-f2ce-4d74-895f-d4d646c32218 · outbound

This paper cites Higher-dimensional algebra and topological quantum field theory.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Higher-dimensional algebra and topological quantum field theory

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.539457Z

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Observation a59c1360-fb23-4b82-a69e-5ca8a88d6e28 · outbound

This paper cites A prehistory ofn-categorical physics.Deep beauty: Understanding the quantum world through mathematical innovation, pages 13–128.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories A prehistory ofn-categorical physics.Deep beauty: Understanding the quantum world through mathematical innovation, pages 13–128

Reference 3

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Observation f48edca2-8e86-4cc7-954b-94fe92c143cc · outbound

This paper cites Three models for the homotopy theory of homotopy theories.Topology, 46(4):397–436.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Three models for the homotopy theory of homotopy theories.Topology, 46(4):397–436

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.550914Z

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Observation 6c942849-674b-4971-bd09-a2e6352f9afe · outbound

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Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-15T13:20:50.553507Z

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Observation e0241a5a-341c-4a42-9467-64a66083697a · outbound

This paper cites Cubes are dense in $(\infty,\infty)$-categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Cubes are dense in $(\infty,\infty)$-categories

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:20:02.182836Z

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Observation 5dc2e833-5d8f-4282-b562-fa0be89d7066 · outbound

This paper cites Daggern-categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Daggern-categories

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:20:02.178678Z

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Observation a6fe398e-14dc-4b82-9376-062c044598e3 · outbound

This paper cites Condensations in higher categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Condensations in higher categories

Reference 8

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Observation 2b04a9e1-b43d-447c-ba02-9b31a6d1eda4 · outbound

This paper cites Enriched∞-categories via non-symmetric∞-operads.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Enriched∞-categories via non-symmetric∞-operads

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.559483Z

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Observation cb08f614-4664-41ce-9d30-7bea4212b3cb · outbound

This paper cites Oriented category theory.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Oriented category theory

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:20:02.193414Z

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Observation c73c1047-d148-4d82-ab84-c0f93e9be4e1 · outbound

This paper cites an unresolved cited work.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-15T13:20:50.536613Z

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Observation c3a8d49c-4315-40ef-b308-4ac24b2d4b00 · outbound

This paper cites An equivalence between enriched ∞-categories and ∞-categories with weak action.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories An equivalence between enriched ∞-categories and ∞-categories with weak action

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.548347Z

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Observation 9e83959d-fe9a-4a92-928b-023dc535eea1 · outbound

This paper cites The higher algebra of weighted colimits.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories The higher algebra of weighted colimits

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:20:02.174683Z

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Observation 1d3105bd-4bb4-4a34-8593-7cbb8cc5fc6f · outbound

This paper cites On bi-enriched $\infty$-categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories On bi-enriched $\infty$-categories

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:20:02.166563Z

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Observation ef760e24-687d-4d10-88ce-a5938fbe0e32 · outbound

This paper cites An equivalence between two models of∞-categories of enriched presheaves.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories An equivalence between two models of∞-categories of enriched presheaves

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.533750Z

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Observation 24f32cb4-d3bc-4d66-9908-db64da56fe66 · outbound

This paper cites Homology of higher categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Homology of higher categories

Reference 16

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T13:20:02.188214Z

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Observation 2906b30b-f7d1-4b06-9897-a3593a1371fb · outbound

This paper cites A local-global principle for parametrized ∞-categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories A local-global principle for parametrized ∞-categories

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.530885Z

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Observation 764ce22f-a5fb-49e7-8a83-a9249e16ce48 · outbound

This paper cites Yoneda lemma for enriched∞-categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Yoneda lemma for enriched∞-categories

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.542437Z

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Observation f95ce69d-9a00-4abf-93e0-6d9b44aa5dd2 · outbound

This paper cites Quasi-categories and Kan complexes.Journal of Pure and Applied Algebra, 175(1-3):207– 222.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Quasi-categories and Kan complexes.Journal of Pure and Applied Algebra, 175(1-3):207– 222

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.505201Z

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Observation 5b616517-32d2-45f5-b7e5-d62d5e2f0697 · outbound

This paper cites an unresolved cited work.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-15T13:20:50.507543Z

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Observation 182b4fa1-7a8f-4bd6-a3d3-8516543f967d · outbound

This paper cites A folk model structure on omega-cat.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories A folk model structure on omega-cat

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.510110Z

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Observation ae235d9c-78c3-4d7f-9015-b53c85efe1f7 · outbound

This paper cites A braided monoidal $(\infty,2)$-category of Soergel bimodules.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories A braided monoidal $(\infty,2)$-category of Soergel bimodules

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:20:02.145992Z

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Observation c0dfedbd-0513-4985-9311-5d26410b9789 · outbound

This paper cites Categorical theory of(∞, ω)-categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Categorical theory of(∞, ω)-categories

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.502519Z

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Observation ddb83720-657b-4458-ae9b-fc50e4e48f29 · outbound

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

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Effectivity of Generalized Double $\infty$-Categories

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:20:02.160689Z

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Observation 11987bde-f4a5-47e3-a023-0fd2fcd593c7 · outbound

This paper cites The complicial model of $(\infty,\omega)$-categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories The complicial model of $(\infty,\omega)$-categories

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-28T01:23:22.234214Z

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Observation a745be65-c7a6-4fb0-95d9-2b01487e23ed · outbound

This paper cites Higher Algebra.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Higher Algebra

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.499822Z

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Observation 1f34ffd9-4d2e-49d9-8a1d-adbb05e18101 · outbound

This paper cites Higher topos theory, volume 170 ofAnnals of Mathematics Studies.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Higher topos theory, volume 170 ofAnnals of Mathematics Studies

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.514650Z

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Observation 59d76920-73d8-43fd-858c-a9525adb7be7 · outbound

This paper cites On the classification of topological field theories.Current Developments in Mathematics, 2008, 05 2009.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories On the classification of topological field theories.Current Developments in Mathematics, 2008, 05 2009

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.496841Z

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Observation a6ee84cb-25c1-4c85-8a69-b9ccac42f978 · outbound

This paper cites Arrangements of hyperplanes, higher braid groups and higher bruhat orders.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Arrangements of hyperplanes, higher braid groups and higher bruhat orders

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.493471Z

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Observation 21bf14c3-7c5e-4e9c-8b50-43588e447ce7 · outbound

This paper cites The algebra of categorical spectra.https://nmasuda2.github.io.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories The algebra of categorical spectra.https://nmasuda2.github.io

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.512428Z

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Observation ed3a5903-d096-4cd7-b889-f487a75a80ea · outbound

This paper cites Model structures for (∞,n)–categories on (pre)stratified sim- plicial sets and prestratified simplicial spaces.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Model structures for (∞,n)–categories on (pre)stratified sim- plicial sets and prestratified simplicial spaces

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.517217Z

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Observation 0b78b0c1-bab8-4017-82af-fa73519ab1fc · outbound

This paper cites Cores and localizations of(∞,∞)-categories.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Cores and localizations of(∞,∞)-categories

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:20:02.140575Z

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Observation 2ff20507-6c63-4036-aa95-b4812e08edda · outbound

This paper cites A model for the homotopy theory of homotopy theory.Transactions of the American Mathematical Society, 353(3):973–1007.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories A model for the homotopy theory of homotopy theory.Transactions of the American Mathematical Society, 353(3):973–1007

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.525976Z

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Observation 55bb6021-169f-447a-9daa-4d9473eb4f30 · outbound

This paper cites A closed model structure for $n$-categories, internal $Hom$, $n$-stacks and generalized Seifert-Van Kampen.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories A closed model structure for $n$-categories, internal $Hom$, $n$-stacks and generalized Seifert-Van Kampen

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-05-15T13:20:02.155126Z

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Observation 072100f9-31dc-4bb9-8ebe-ca91ac2a79bf · outbound

This paper cites PhD thesis, University of California, Berkeley.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories PhD thesis, University of California, Berkeley

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.519192Z

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Observation 11825483-4a0e-450a-81a6-8d7ef117ea68 · outbound

This paper cites Vers une axiomatisation de la théorie des catégories supérieures.K-theory, 34(3):233– 263.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Vers une axiomatisation de la théorie des catégories supérieures.K-theory, 34(3):233– 263

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.521410Z

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Observation 25b249a6-5337-4893-86b9-7f0a4e06a4ff · outbound

This paper cites Complicial sets.Mem.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Complicial sets.Mem

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T13:20:50.523446Z

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Observation ed267b52-316b-481e-a243-a9169c3f5246 · outbound

This paper cites an unresolved cited work.

Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-05-15T13:20:50.528331Z

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Pith citing papers

Observation bdb9a1cd-3183-4d30-b05c-af68c9801c68 · inbound

An Oriented Street--Roberts Conjecture cites this paper.

An Oriented Street--Roberts Conjecture Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-06-30T02:24:13.860644Z

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Observation 13285ce8-3cff-4575-b800-efe70b6a0eb8 · inbound

Fibrations in Oriented Category Theory cites this paper.

Fibrations in Oriented Category Theory Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:04.991373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.