Pith. sign in

Paper Citation Record · LEDGER

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces

As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2412.17400.

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

pith.paper-citation-record.v1
2412.17400 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:35:35.254432Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ddca3066-0d99-406d-aea4-3129804bf020 · outbound

This paper cites an unresolved cited work.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:35:35.695641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.130037Z digest=sha256:8b160da9132e888b39a56bbf2a4116b2998572c138c29d1f623698b01a390058

Observation ccacd3df-65a2-4ca4-ab98-085380b2debc · outbound

This paper cites Grillet, and Donovan H.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Grillet, and Donovan H

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:35:35.677320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.136693Z digest=sha256:49fcd3f5ad149811d70747501ffe8b4481927651aeec14d9863a1b9d1ab2d290

Observation e2bdc104-5f18-4eef-a862-eee056879a89 · outbound

This paper cites Barwick and D.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Barwick and D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:35:35.659066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.142722Z digest=sha256:a9ce36115ea61ee7a19f35996f4252584acbf84c10bd8022f5f8b09e6d58a3d9

Observation dc21dbbe-93f9-473a-b533-bdbd57e30d4b · outbound

This paper cites 3, 2497--2560.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces 3, 2497--2560

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:35:35.638622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.148516Z digest=sha256:59f7e95e6e57675f79248384f53c50b730d6d45860b8a718a8df8d0e28d0f866

Observation 167703b6-7804-4a80-af16-d3e7b2d83d0b · outbound

This paper cites Bergner, Ang\' e lica M.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Bergner, Ang\' e lica M

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T05:35:35.157095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:35:35.157095Z digest=sha256:a48a58b577812bbb9ff8eb5f8ec2c3462e3f4dfcef2303d5290483fc27072a8f

Observation 1777c633-15ad-46fc-b25b-cf6569573f80 · outbound

This paper cites an unresolved cited work.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:35:35.593419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.163542Z digest=sha256:6426eccc0fcf351a9d54cb760d9f17ce9588078a4128b925cb028e077930489d

Observation 9671458a-d305-4d87-8c79-7d643b15f1ea · outbound

This paper cites K-Theory 6 (2021), no.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces K-Theory 6 (2021), no

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:35:35.575599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.170927Z digest=sha256:b62aa7be6f6b98d809ce78a473c37bf5b7aaac7496252744e304c49148bb9a7f

Observation 104d2597-a0f5-4025-a8d3-ab5f62d71a13 · outbound

This paper cites Campbell and Inna Zakharevich, D\' e vissage and localization for the G rothendieck spectrum of varieties , Adv.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Campbell and Inna Zakharevich, D\' e vissage and localization for the G rothendieck spectrum of varieties , Adv

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:35:35.557374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.177063Z digest=sha256:697afc6614be4e227c670205e5ebfaacedc154f8a155dcd4923f23a4e8121613

Observation bb4c18cd-0d68-4411-9e62-3911684227a4 · outbound

This paper cites an unresolved cited work.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:35:35.537081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.182985Z digest=sha256:88c84666886ab6cc91805aa104564f7ad64d32a949ef931deba0cc48dd707d12

Observation 4d7f1929-cc00-49e7-9b29-c7645d2372d0 · outbound

This paper cites 4, 427--440.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces 4, 427--440

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:35:35.514259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.189461Z digest=sha256:faedd43a0abcfbcbd586f923a9c440708cc44deacf2c65b4765a49772da76a68

Observation f2cc63b1-01f8-4ed6-ac8f-9ead44d81883 · outbound

This paper cites 2244, Springer, Cham, 2019.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces 2244, Springer, Cham, 2019

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T05:35:35.195662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:35:35.195662Z digest=sha256:01ad9be220c7f2c5d3e52ddf806a40bd0a83c2ddfe227b16482db093de9cce66

Observation 02ea3190-df35-4152-9bc1-d06069197e14 · outbound

This paper cites Proulx, and Mark Weber, Every 2- S egal space is unital , Commun.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Proulx, and Mark Weber, Every 2- S egal space is unital , Commun

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:35:35.479649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.201862Z digest=sha256:6d4d75f450910962b58ca5e5bf45abd6b2b8f3bd1e1647ef45cb9460895b983d

Observation 218d7d1e-216c-4228-90a7-9414afeeb2cb · outbound

This paper cites an unresolved cited work.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:35:35.459177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.208271Z digest=sha256:8934d4438b217aad70164b7a782878e0a18e04a5f03bf5fdfe75b44fc3187e88

Observation cb36a187-d8e5-4354-8156-510adcddc671 · outbound

This paper cites 18 (2016), no.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces 18 (2016), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:35:35.439631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.214860Z digest=sha256:72eb63683784b3e405dfcd17d73dd89b7116358b796d55f6e0149e08f10fc01d

Observation e427112a-0d76-4453-8039-f78c762d2016 · outbound

This paper cites Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs, vol.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs, vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:35:35.418832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.222451Z digest=sha256:833aa9c4b67551461298f4f373a1c32c08ff8ad12bb0d4688fe62e8f8a5a06de

Observation f01ab03c-3ba9-4856-8dcf-92b9fb34cf38 · outbound

This paper cites 63, American Mathematical Society, Providence, RI, 1999.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces 63, American Mathematical Society, Providence, RI, 1999

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T05:35:35.228947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:35:35.228947Z digest=sha256:8e1de1541a91968eb80908dafa6778525b203e0775c563a51113f17d669e72cf

Observation 0293c670-ebc7-4a48-99aa-919bd8b4de33 · outbound

This paper cites Stable Infinity Categories.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Stable Infinity Categories

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T05:35:35.234813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:35:35.234813Z digest=sha256:e1e176e94834c686197f215441c5d441e1d955baebf82247a91ae873f0259855

Observation 1a0d65e5-8ed5-450f-8312-c28430d2c161 · outbound

This paper cites an unresolved cited work.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:35:35.378993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T05:35:35.241231Z digest=sha256:912f079c424c0fb8750017555c165c102f2e5dc3ef94f2b8e26719242ed75fc6

Observation f65948a7-1e3a-4ee7-825f-60808994722f · outbound

This paper cites 5, Springer-Verlag, New York, 1998.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces 5, Springer-Verlag, New York, 1998

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T05:35:35.248061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:35:35.248061Z digest=sha256:0b3842f60935c2959f877c6507523338d77f26e9e39e1f3d7b7ba9609466a1d2

Observation 7858852f-aaad-4b0d-8641-c4fb223a86f9 · outbound

This paper cites J ., 1983), Lecture Notes in Math., vol.

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces J ., 1983), Lecture Notes in Math., vol

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T05:35:35.254432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:35:35.254432Z digest=sha256:1f6ad1a2a23ee96f80b457c4478e90d0dd12a84d78519e928dc26f8f0da71c5d

Pith citing papers

No inbound Pith citation observations are available.