Paper Citation Record · LEDGER

The root functor

As of 23 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2505.14288.

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

pith.paper-citation-record.v1
2505.14288 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:43:45.585427Z

measured 33 of 33 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T07:46:22.394151Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T13:38:19.158198Z

Reference resolution

32 of 32 outbound references displayed

verified exact4
verified fuzzy25
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ce6e9ee-1637-48a7-8978-6491f7806b60 · outbound

This paper cites Factorization homology of stratified spaces.

The root functor Factorization homology of stratified spaces

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:53.984910Z

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.

Observation b244a046-7d9b-4b96-874c-50f2ef7e8a2e · outbound

This paper cites From operator categories to higher operads.

The root functor From operator categories to higher operads

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:53.574989Z

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.

Observation e35fdc38-a6e5-40c0-9621-9ab43f8d0435 · outbound

This paper cites Dendroidal spaces, -spaces and the special Barratt--Priddy--Quillen theorem.

The root functor Dendroidal spaces, -spaces and the special Barratt--Priddy--Quillen theorem

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:53.284400Z

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.

Observation 27e3955a-2c57-4fa5-9e2b-70a05edce470 · outbound

This paper cites Manifold calculus and homotopy sheaves.

The root functor Manifold calculus and homotopy sheaves

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:52.969109Z

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.

Observation 207f15e2-99e0-4f27-a49c-d9d6a99d5c30 · outbound

This paper cites Dendroidal sets as models for connective spectra.

The root functor Dendroidal sets as models for connective spectra

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:52.776432Z

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.

Observation 1672cc3d-586a-435c-9805-0502ea9ec633 · outbound

This paper cites Boardman and Rainer M.

The root functor Boardman and Rainer M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:52.534933Z

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.

Observation 58b41288-6336-4a0d-bc9f-080d213826e2 · outbound

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

The root functor Higher categories and homotopical algebra , volume 180

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:52.281866Z

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.

Observation df233427-b7e1-4273-8685-381037c9b78d · outbound

This paper cites Dendroidal sets as models for homotopy operads.

The root functor Dendroidal sets as models for homotopy operads

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:52.010454Z

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.

Observation d6c83dac-79f2-4bc1-bab4-c27bc728ebe9 · outbound

This paper cites Dendroidal S egal spaces and -operads.

The root functor Dendroidal S egal spaces and -operads

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:51.774757Z

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.

Observation 2e5d64fd-9041-4455-8a59-1d16d2b1a85a · outbound

This paper cites Dendroidal sets and simplicial operads.

The root functor Dendroidal sets and simplicial operads

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:51.484772Z

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.

Observation 08eefecd-dadc-4794-98f8-3d26de3cff9a · outbound

This paper cites Embeddings from the point of view of immersion theory: Part ii.

The root functor Embeddings from the point of view of immersion theory: Part ii

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:51.164967Z

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.

Observation 5ed20ce6-a9cb-4204-ba14-8d56afc7e6db · outbound

This paper cites Calculus of Fractions and Homotopy Theory.

The root functor Calculus of Fractions and Homotopy Theory

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:50.954826Z

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.

Observation 695c7610-7fe1-4109-ae3e-796c93d8bc30 · outbound

This paper cites Algebras over infinity-operads.

The root functor Algebras over infinity-operads

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:43:47.223868Z

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.

Observation fe6674fa-d748-4b93-8303-265db66eeb47 · outbound

This paper cites On the equivalence between L urie's model and the dendroidal model for -operads.

The root functor On the equivalence between L urie's model and the dendroidal model for -operads

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:50.654798Z

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.

Observation 8058af8e-0949-4fce-bc81-598e6801b47b · outbound

This paper cites Hirschhorn.

The root functor Hirschhorn

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:50.316352Z

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.

Observation e68cf4f7-2d73-4ef2-9982-55175c9c88be · outbound

This paper cites Simplicial and dendroidal homotopy theory , volume 75 of Ergeb.

The root functor Simplicial and dendroidal homotopy theory , volume 75 of Ergeb

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T15:43:43.268212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 667fb69d-4562-4ffe-a758-72c7e9697375 · outbound

This paper cites On the equivalence of the Lurie's $\infty$-operads and dendroidal $\infty$-operads.

The root functor On the equivalence of the Lurie's $\infty$-operads and dendroidal $\infty$-operads

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:43:46.944032Z

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.

Observation a3a91f67-5738-4fec-84c5-15e991f567dc · outbound

This paper cites Notes on quasi-categories.

The root functor Notes on quasi-categories

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:50.056060Z

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.

Observation 5d3a440c-7ebf-477e-bd35-d1368f95ceb8 · outbound

This paper cites -operadic foundations for embedding calculus.

The root functor -operadic foundations for embedding calculus

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T15:43:43.664861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ae70d1a-0044-4a72-bc85-cc95bf228a32 · outbound

This paper cites The simplicial model of univalent foundations (after V oevodsky).

The root functor The simplicial model of univalent foundations (after V oevodsky)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:49.886398Z

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.

Observation 8c29e11f-86ea-408a-9928-94bdf4745b6b · outbound

This paper cites Higher Topos Theory.

The root functor Higher Topos Theory

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:49.607079Z

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.

Observation 77e749d8-ab3b-4aab-b0dd-bd79e4e8a03c · outbound

This paper cites Higher Algebra.

The root functor Higher Algebra

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:49.334744Z

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.

Observation e5c5fced-11bf-418c-9f78-6c9d3b679e71 · outbound

This paper cites La th \'e orie de l'homotopie de Grothendieck.

The root functor La th \'e orie de l'homotopie de Grothendieck

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:49.089002Z

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.

Observation 33bc9903-fc97-4414-bba1-f0e31fa9a7d6 · outbound

This paper cites The geometry of iterated loop spaces , volume 271.

The root functor The geometry of iterated loop spaces , volume 271

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T15:43:44.345966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37426021-21d5-4c9a-a25d-a549f712b1a5 · outbound

This paper cites Dendroidal sets.

The root functor Dendroidal sets

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:48.815142Z

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.

Observation 0f1e69af-6dad-403b-b35b-75adb94ce00e · outbound

This paper cites Rectification of dendroidal left fibrations.

The root functor Rectification of dendroidal left fibrations

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:43:46.374905Z

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.

Observation 4e46336c-1052-41c0-a213-e020049cfa46 · outbound

This paper cites The Homotopy Theory of Simplicially Enriched Multicategories.

The root functor The Homotopy Theory of Simplicially Enriched Multicategories

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:43:45.995017Z

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.

Observation 9b29a4c6-1d81-41f8-98e1-2ae170484766 · outbound

This paper cites Covariant model structures and simplicial localization.

The root functor Covariant model structures and simplicial localization

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:48.556945Z

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.

Observation 01de4fd4-7fa8-42d7-b03c-4d179b1032ae · outbound

This paper cites Algebraic K -theory of spaces.

The root functor Algebraic K -theory of spaces

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:48.260584Z

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.

Observation 0ad67602-dcc1-4063-99da-305ef11c3945 · outbound

This paper cites Embeddings from the point of view of immersion theory: Part I.

The root functor Embeddings from the point of view of immersion theory: Part I

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:48.075663Z

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.

Observation c50f6359-fdab-4c63-a8a8-e99a023aa464 · outbound

This paper cites Joyal, Notes on quasi-categories, preprint, available for download athttp://www.fields.utoronto.ca/av/slides/06-07/crs-quasibasic/joyal/download.pdf, (2007).

The root functor Joyal, Notes on quasi-categories, preprint, available for download athttp://www.fields.utoronto.ca/av/slides/06-07/crs-quasibasic/joyal/download.pdf, (2007)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:47.833233Z

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.

Observation 716d7e76-56cc-4932-aca4-a5cd9834d778 · outbound

This paper cites Lurie, Higher algebra, available for download at the authors webpage at http://www.math.harvard.edu/ lurie/papers/higheralgebra.pdf, (2015).

The root functor Lurie, Higher algebra, available for download at the authors webpage at http://www.math.harvard.edu/ lurie/papers/higheralgebra.pdf, (2015)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:47.496215Z

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.

Pith citing papers

Observation 9bc56ad1-ebaa-4028-8688-1ac17d92ec94 · inbound

Relative dendroidal Rezk nerve and applications cites this paper.

Relative dendroidal Rezk nerve and applications The root functor

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-03T13:38:19.159236Z

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.