Paper Citation Record · LEDGER

Fibrations in Oriented Category Theory

As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2607.18418.

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

pith.paper-citation-record.v1
2607.18418 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:32:07.190132Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T04:09:15.181487Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy0
unresolved35
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b83f5914-40f8-4539-b053-271c0c4fb7fb · outbound

This paper cites On local ﬁbrations of ( ∞, 2)-categories.

Fibrations in Oriented Category Theory On local ﬁbrations of ( ∞, 2)-categories

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:03.462145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 186daee0-0c3f-4c49-a122-acbffa944097 · outbound

This paper cites Free ﬁbrations, lax colimits and kan extensions for (∞, 2)-categories.

Fibrations in Oriented Category Theory Free ﬁbrations, lax colimits and kan extensions for (∞, 2)-categories

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:03.569938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db1a528e-9b8a-4ab0-ae30-2a1be576e959 · outbound

This paper cites 2-cartesian ﬁbrations ii: A grothendieck construction for- bicategories.

Fibrations in Oriented Category Theory 2-cartesian ﬁbrations ii: A grothendieck construction for- bicategories

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:03.713220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37824d30-7219-4058-9f1f-0614d1039248 · outbound

This paper cites Straightening for lax transformations and adjunctions of $(\infty,2)$-categories.

Fibrations in Oriented Category Theory Straightening for lax transformations and adjunctions of $(\infty,2)$-categories

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:03.775086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d81d3c1-c260-469b-a5a7-d6cfad486bcf · outbound

This paper cites Lax functorialities of the comma construction for -categories.

Fibrations in Oriented Category Theory Lax functorialities of the comma construction for -categories

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:03.888933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e52eaae4-6307-452f-8b89-90e013af096d · outbound

This paper cites Fibrations of ∞-categories.

Fibrations in Oriented Category Theory Fibrations of ∞-categories

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:03.998169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 072ff881-01e2-4de9-9085-e715bd459fc0 · outbound

This paper cites On the straightening of every functor.

Fibrations in Oriented Category Theory On the straightening of every functor

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:04.110736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d52d84c-2964-450c-886a-0a2e066ed4b9 · outbound

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

Fibrations in Oriented Category Theory Cubes are dense in $(\infty,\infty)$-categories

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:04.215137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 899934f9-31e3-4c43-b94f-f6903fca72ca · outbound

This paper cites Fibrations and lax limits of $(\infty,2)$-categories.

Fibrations in Oriented Category Theory Fibrations and lax limits of $(\infty,2)$-categories

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:04.327490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e29af21-1473-47d2-8e8f-45cc74e0d0da · outbound

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

Fibrations in Oriented Category Theory Enriched ∞-categories via non-symmetric ∞-operads

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:04.483418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49dfc982-5e0c-4400-bdf7-66dc747c5c00 · outbound

This paper cites Lax colimits and free ﬁbrations in ∞-categories.

Fibrations in Oriented Category Theory Lax colimits and free ﬁbrations in ∞-categories

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:04.597749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 860e1aa5-0143-4e6a-8694-4addbea718d8 · outbound

This paper cites Oriented category theory.

Fibrations in Oriented Category Theory Oriented category theory

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:04.713042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6983f6a-f72d-4a39-abaf-744a557fb4c0 · outbound

This paper cites The Grothendieck construction in oriented category theory.

Fibrations in Oriented Category Theory The Grothendieck construction in oriented category theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:04.874806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories.

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.

Observation 62676fa6-6311-4a21-a6e4-0ef4254238f4 · outbound

This paper cites An oriented Street-Roberts conjecture.

Fibrations in Oriented Category Theory An oriented Street-Roberts conjecture

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:05.126921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c569d8e7-d442-4591-bf96-a7bc241edef8 · outbound

This paper cites Fibred and coﬁbred categories.

Fibrations in Oriented Category Theory Fibred and coﬁbred categories

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:05.311165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cca068ca-e665-464e-8248-478a0f66cd13 · outbound

This paper cites Technique de descente et théorèmes d’existence en géométrie algébrique.

Fibrations in Oriented Category Theory Technique de descente et théorèmes d’existence en géométrie algébrique

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:05.509848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c78dc8c-2113-4b54-8358-39b82058b539 · outbound

This paper cites Rev\^etements \'etales et groupe fondamental (SGA 1).

Fibrations in Oriented Category Theory Rev\^etements \'etales et groupe fondamental (SGA 1)

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:05.597126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f0ae6e8-8167-42a3-aeef-dde8ac146e80 · outbound

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

Fibrations in Oriented Category Theory An equivalence between enriched ∞-categories and ∞-categories with weak action

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:05.710847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c572411-8cca-40cd-bb06-29253c60dabe · outbound

This paper cites The higher algebra of weighted colimits.

Fibrations in Oriented Category Theory The higher algebra of weighted colimits

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:05.785052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 464f680a-acec-4088-90d6-3633bab38c7e · outbound

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

Fibrations in Oriented Category Theory On bi-enriched $\infty$-categories

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:05.911957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b6304ed-760f-4414-8f3d-3711c175b5ac · outbound

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

Fibrations in Oriented Category Theory An equivalence between two models of ∞-categories of enriched presheaves

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:05.987336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 921922bc-95c4-46d5-a3c2-96ccd970990d · outbound

This paper cites Homology of higher categories.

Fibrations in Oriented Category Theory Homology of higher categories

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.065217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 054ede1d-e7cd-4497-aee6-6c2ebbebb527 · outbound

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

Fibrations in Oriented Category Theory A local-global principle for parametrized ∞-categories

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.167553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73786fe7-f435-45cc-b06d-9e4e5b9143db · outbound

This paper cites Stable homotopy theory of higher categories.

Fibrations in Oriented Category Theory Stable homotopy theory of higher categories

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.295753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edaea960-d97d-4dcf-8ee6-126f8f5e9dda · outbound

This paper cites Yoneda lemma for enriched ∞-categories.

Fibrations in Oriented Category Theory Yoneda lemma for enriched ∞-categories

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.386128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f93c80fa-018a-478d-afcc-635aa242f4e1 · outbound

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

Fibrations in Oriented Category Theory Categorical theory of (∞,ω )-categories

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.462634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75c88d50-f90a-4b90-b8da-2e4eaeeed824 · outbound

This paper cites Higher Algebra.

Fibrations in Oriented Category Theory Higher Algebra

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.533723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d63ebd55-2ede-403e-af18-6dccb25ea915 · outbound

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

Fibrations in Oriented Category Theory Higher topos theory , volume 170 of Annals of Mathematics Studies

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.647106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03c18f6d-ef08-474f-a2cc-79ccaaa426af · outbound

This paper cites (Infinity,2)-Categories and the Goodwillie Calculus I.

Fibrations in Oriented Category Theory (Infinity,2)-Categories and the Goodwillie Calculus I

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.729291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72ac0d85-1656-44f8-87e6-ee98329b27b1 · outbound

This paper cites An $(\infty,n)$-categorical straightening-unstraightening construction.

Fibrations in Oriented Category Theory An $(\infty,n)$-categorical straightening-unstraightening construction

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.812068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea1589ed-80f9-420f-b1d0-054f3b52018e · outbound

This paper cites On straightening for Segal spaces.

Fibrations in Oriented Category Theory On straightening for Segal spaces

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:06.890005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a96b1388-e33c-438e-a2dc-8f33e294b02a · outbound

This paper cites Cartesian Fibrations of Complete Segal Spaces.

Fibrations in Oriented Category Theory Cartesian Fibrations of Complete Segal Spaces

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:07.023295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23b87d22-22ba-45a5-a370-7e8627489936 · outbound

This paper cites Cartesian ﬁbrations and representability.

Fibrations in Oriented Category Theory Cartesian ﬁbrations and representability

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:07.113137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69e219cc-ee82-43c1-a6bd-ea60230e9abd · outbound

This paper cites Fibrations in bicategories.

Fibrations in Oriented Category Theory Fibrations in bicategories

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T15:32:07.190132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation e1bb2865-a69b-4fa3-a35a-eeb65039b7dd · inbound

Colimits in Oriented Category Theory cites this paper.

Colimits in Oriented Category Theory Fibrations in Oriented Category Theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T04:09:15.181487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.