Pith. sign in

Paper Citation Record · LEDGER

Higher Equipments, Double Colimits and Homotopy Colimits

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.06201.

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

pith.paper-citation-record.v1
1908.06201 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:02:54.887434Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact2
  • verified fuzzy15
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d34781e2-746a-4ed1-8497-ccd840638d51 · outbound

This paper cites A unified framework for generalized multicategories.

Higher Equipments, Double Colimits and Homotopy Colimits A unified framework for generalized multicategories

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.278367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.779172Z digest=sha256:4d714788b2c77810e76302ff3be08b6e9bcbf37c6668ca7d89ae771150fc2eb7

Observation 5c2862aa-c4f4-4b0d-8d70-9b8394cc6deb · outbound

This paper cites A primer on homotopy colimits.

Higher Equipments, Double Colimits and Homotopy Colimits A primer on homotopy colimits

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.265036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.784437Z digest=sha256:284ee74788825de8dea124084dba91b54ed59510cc669c114bd1961add060255

Observation b77f453b-6cac-41d2-9aea-d3b98d26dec6 · outbound

This paper cites Simplicial matrices and the nerves of weak n-categories.

Higher Equipments, Double Colimits and Homotopy Colimits Simplicial matrices and the nerves of weak n-categories

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.249058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.789790Z digest=sha256:b96ede0c06f8f569404cb4d062a167156f949015721eb5ef0650497a66a979c5

Observation 643d59a9-7a7c-471c-b71b-9760b10bf7f1 · outbound

This paper cites Span and cospan representations of weak double categories.

Higher Equipments, Double Colimits and Homotopy Colimits Span and cospan representations of weak double categories

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.232967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.794581Z digest=sha256:5168d11f545cf27ca07ab0be725e49c44c83e240e22eb3a6c21ac36b7ae2f7a3

Observation 5666cf30-927f-47f8-9dcf-9726d5493e92 · outbound

This paper cites Lax colimits and free fibrations in $\infty$-categories.

Higher Equipments, Double Colimits and Homotopy Colimits Lax colimits and free fibrations in $\infty$-categories

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:02:55.017477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.799460Z digest=sha256:0c605a8199e74534a9f55ea0fa9e9bd84d21400e6251bd48701262dbe964b0aa

Observation 721b0d56-c626-4aef-aaa5-3fbd0ff41155 · outbound

This paper cites Simplicial homotopy theory.

Higher Equipments, Double Colimits and Homotopy Colimits Simplicial homotopy theory

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:54.804408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:54.804408Z digest=sha256:4552211d4f58296455b72fd19126a6227c9c26ae1b443d125b1a0a4365f4eb20

Observation ed4801b0-a9b4-4ec9-a662-d4e600c7cad3 · outbound

This paper cites Limits in double categories.

Higher Equipments, Double Colimits and Homotopy Colimits Limits in double categories

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.211324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.808784Z digest=sha256:2b154b70bbb15ff934c631ab4abead12c96b0c80402600a78106d8b7abd5a91b

Observation f65893ab-a15a-46ac-bf5e-7a19123663f3 · outbound

This paper cites Adjoint for double categories.

Higher Equipments, Double Colimits and Homotopy Colimits Adjoint for double categories

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.197745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.812974Z digest=sha256:2612464a3a540762ce89c4c1903a481bc9137dcf8275d1360954666f8d9a1e49

Observation 22b446ab-d417-48cb-bcff-f55857753a1a · outbound

This paper cites Kan extensions in double categories (on weak double categories, part iii).

Higher Equipments, Double Colimits and Homotopy Colimits Kan extensions in double categories (on weak double categories, part iii)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.185355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.817247Z digest=sha256:063a5803fa18095af45b3f44bb8b164c8c29c7b0668ddb63222d7703a997a08c

Observation c2ee6047-85d2-4465-b661-cce7cdbc0612 · outbound

This paper cites The theory of quasi-categories and its applications.

Higher Equipments, Double Colimits and Homotopy Colimits The theory of quasi-categories and its applications

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.172637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.822347Z digest=sha256:bdbfb556802b0cb5f94053281a96ff0b58278c6ed42e330a71147cbe351c76e2

Observation a2da8a45-c6b9-4d77-9a5c-e2ba243c6d99 · outbound

This paper cites A double-dimensional approach to formal category theory.

Higher Equipments, Double Colimits and Homotopy Colimits A double-dimensional approach to formal category theory

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:02:54.988942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.826853Z digest=sha256:0a03ef7bb2f446c8b259d09881faf71be051527d64baa90017673692b99b630d

Observation 94d5ce92-9119-4ef5-a6a3-88e4ef094f92 · outbound

This paper cites Basic Bicategories.

Higher Equipments, Double Colimits and Homotopy Colimits Basic Bicategories

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:54.831963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:54.831963Z digest=sha256:992a79ce97d1a422ccb6b520b4b6cfecf8ac437eab2e68f481c944dfd4431c90

Observation 5f4a9ceb-a1a6-4756-96a9-5e98571e8980 · outbound

This paper cites Higher operads, higher categories , volume 298.

Higher Equipments, Double Colimits and Homotopy Colimits Higher operads, higher categories , volume 298

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.155498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.837137Z digest=sha256:340a8eb961f31e5b1fe8835422c0542e6c7642602497d5604a4a46c3f0ff256e

Observation cee4e097-3d6e-4b05-beb8-24e37fe3ed89 · outbound

This paper cites Coend calculus.

Higher Equipments, Double Colimits and Homotopy Colimits Coend calculus

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:54.840849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:54.840849Z digest=sha256:7e99ba97175e4996ed143a5914df5b214fca909269fe45b97ce5f1fdb71fe959

Observation 769c49ee-b9eb-4882-8408-a8127b2b3610 · outbound

This paper cites Higher Topos Theory (AM-170) , volume 189.

Higher Equipments, Double Colimits and Homotopy Colimits Higher Topos Theory (AM-170) , volume 189

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.141103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.844725Z digest=sha256:27c90db837106a80f434fde1d84b74b264d80a1bbe7e7d79eb93a093e2905cff

Observation bdfaa241-b2b4-49a3-8d79-6b1d2a929c20 · outbound

This paper cites Categories for the working mathematician , volume 5.

Higher Equipments, Double Colimits and Homotopy Colimits Categories for the working mathematician , volume 5

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:54.848782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:54.848782Z digest=sha256:5d2cf77da8c44e88902fb8cd45a439651bedfa2d8c4aabb17ba7b7513a9fb3d2

Observation d1157365-ad99-48c4-af8c-166b130468b1 · outbound

This paper cites Yoneda theory for double categories.

Higher Equipments, Double Colimits and Homotopy Colimits Yoneda theory for double categories

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.119804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.853639Z digest=sha256:b8f8939139391e16da64093606ff2989168f7d1e6354545036d76241d0416d46

Observation 921cb589-bcd1-4406-8123-8a30004aef36 · outbound

This paper cites Weighted limits and colimits.

Higher Equipments, Double Colimits and Homotopy Colimits Weighted limits and colimits

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.107417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.857723Z digest=sha256:5078ecc45d06e6f4e679bc55c0dc922f6875741dc2ac34aaee897e95b4f3453e

Observation ad623c5f-0e53-4304-b61d-38ee82710dc7 · outbound

This paper cites A leisurely introduction to simplicial sets.

Higher Equipments, Double Colimits and Homotopy Colimits A leisurely introduction to simplicial sets

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.093853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.862667Z digest=sha256:18b729500731ad1bc2a1dcc61236990a4bd7d41fca2249805563d131a062513a

Observation 11601f73-2800-4088-8596-ff4b5f8c14dc · outbound

This paper cites Categorical homotopy theory , volume 24.

Higher Equipments, Double Colimits and Homotopy Colimits Categorical homotopy theory , volume 24

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:54.867987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:54.867987Z digest=sha256:d293c7b3a152ce9a423495c85f8dc06071f14df646e4903967e58b5bc79e2b8d

Observation 290a4048-fcf8-4d32-997a-c310cab4cf3b · outbound

This paper cites Category theory in context.

Higher Equipments, Double Colimits and Homotopy Colimits Category theory in context

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:54.873267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:54.873267Z digest=sha256:ce26224731236e4f1d39bd2608bb0708c1e4abd03d114dbdee9d3e5fe51ecf5f

Observation 0ee9af6e-9aeb-479b-924d-02378d81bdfd · outbound

This paper cites Homotopy limits and colimits and enriched homotopy theory.

Higher Equipments, Double Colimits and Homotopy Colimits Homotopy limits and colimits and enriched homotopy theory

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:54.877949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:54.877949Z digest=sha256:40cd053149e6671fc1f28e383511e857d0866b2bb493f68329ee05e1dbe1a4dd

Observation c927f825-01de-4f81-bd2d-e2e195e2ef12 · outbound

This paper cites Framed bicategories and monoidal fibrations.

Higher Equipments, Double Colimits and Homotopy Colimits Framed bicategories and monoidal fibrations

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.053549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.882680Z digest=sha256:afd72e9e9feb27bae1e966ebe6d6f95019d880ed57f8de4c7f777829ec8fb325

Observation 0cedfda6-cd00-4b52-87de-8c29b3ae786c · outbound

This paper cites Equipments.

Higher Equipments, Double Colimits and Homotopy Colimits Equipments

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:55.039304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:02:54.887434Z digest=sha256:3e8ec60fb3fdc6750ffdd295ed58c96c6153f7dde2cb0ba245ccdd4c660e6b6b

Pith citing papers

No inbound Pith citation observations are available.