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Paper Citation Record · LEDGER

The decomposition space perspective

As of 19 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 2 inbound Pith citation observations for arXiv:2409.19061.

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

pith.paper-citation-record.v1
2409.19061 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T21:26:08.878214Z

measured 49 of 49 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:10:36.164247Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T19:37:44.451181Z

Reference resolution

47 of 47 outbound references displayed

  • verified exact10
  • verified fuzzy14
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 18b89d2f-d493-48ca-b339-5a1c71d81c93 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.848198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:e80d3b21093a8a428cc2885674558006bb55581a8d3613eef07db5a576879cb9

Observation 414604c8-c9eb-49e1-af93-14b0b1d62ab3 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.905458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:719284a1c3b1385cf7ae432b73395be723bb49be43ffccece798e416aaa6aeb8

Observation dd52d855-e520-4e1e-ac52-763108af6471 · outbound

This paper cites Bergner, Ang´ elica M.

The decomposition space perspective Bergner, Ang´ elica M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.898082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:7cb9ca9ef11f12fee8b6c808f9132ee9bdedd5ded2f3c0e9cd880f1bc2edcd5c

Observation 82c9ef01-6fe6-4f59-bea3-5d87e46af059 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.893912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:cc66d08bb59d54f8695458e1fe0baa2c29228f0b97a0e9eb98c4c5c18cb0fb36

Observation 13aa37a7-96a2-4340-8aec-8d8d7a3c070e · outbound

This paper cites Cyclic Segal Spaces.

The decomposition space perspective Cyclic Segal Spaces

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.623701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:257aafe747ba72445b5884c716fc7c8797b3361b7cf759c628e1194fb3130630

Observation b6663169-7f77-4e23-aa0b-9020375d0fe8 · outbound

This paper cites 50, Cambridge University Press, Cambridge, 1994, Basic category theory.

The decomposition space perspective 50, Cambridge University Press, Cambridge, 1994, Basic category theory

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.902047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:1b5f8d166c5db782c38d62747acbc86966653355cb0338b61e4878abfd404858

Observation ba34bc74-b94f-4d9d-bde3-22ee277d0453 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.909052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:fd5980ae8d62a025ca586a6613dade42fedb804aa9e85d10336dde7102752ddd

Observation 3b9f93df-13f8-4d12-9aa4-80d2983316fe · outbound

This paper cites 2-Segal maps associated to a category with cofibrations.

The decomposition space perspective 2-Segal maps associated to a category with cofibrations

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.606909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:5df2450b67158fa3f9dc6d574591a9e90488860dc9babda7479aa6a72d057c34

Observation 7e303e75-d24d-406e-9eb4-cf0354104007 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.912364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:a9f6b0f71d0e11aa1690f9e3b38dcb49b5b119517ac4b33aca7795628ece6402

Observation d9dd6f7c-b572-404c-bbc4-fed80f46af68 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.928714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:74d97f2aa458e701faf2684712de0bf289b2f395c293665f743c42f8d0aa1fc1

Observation 14efb36b-a8c0-42c8-bc15-3f072f993551 · outbound

This paper cites Directed hereditary species and decomposition spaces.

The decomposition space perspective Directed hereditary species and decomposition spaces

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.600206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:5781df05fe36b64302543298e507ae8668f6f0009e162e0c805b5f588591a3c3

Observation da3ab7af-77cd-40da-bfff-0cf5b82df909 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.871137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:2b32b52247a269337eda78475bc7c122a3e55ca034d993d60643fbe543d96560

Observation 2bf46ea0-8d6e-4095-983f-fb46f0005c69 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.890720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:59f69c1fd9cda67d210ddf2f871ab75694d2ab98885df100fe37a57c0449ce56

Observation 243ac392-65e0-4ba9-8c34-12b6fa513ccf · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.855743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:1bb9215a48b41491ff3bebbb349df0530406624f8cf34d49b3e3cc137874dc8a

Observation de5f6743-135e-4b2b-82f4-f094ef203dac · outbound

This paper cites Shapiro, Weak cartesian properties of simplicial sets, J.

The decomposition space perspective Shapiro, Weak cartesian properties of simplicial sets, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.882137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:eff4168fd1ce19a56d0bbfbcda2791f563a91e931135704a5da5a1539035bf6b

Observation 68614303-357a-4c8b-b9b2-d52fdcbf6a07 · outbound

This paper cites Stern, Frobenius and commutative pseu- domonoids in the bicategory of spans , J.

The decomposition space perspective Stern, Frobenius and commutative pseu- domonoids in the bicategory of spans , J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.887244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:0860a336cb9435fe430f213d860b2d6747b50aa967155de681413fdc146e2d10

Observation 142d4a61-d800-43ff-9140-58f0434dc7c3 · outbound

This paper cites Hall algebras via 2-Segal spaces.

The decomposition space perspective Hall algebras via 2-Segal spaces

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.629445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:8c045eb6459a59e43654e14e758b5fa8fd402fa11c4c51605d8c0b7bc558c0a7

Observation 127b92a3-616c-47d5-a722-3e239bd4c373 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.844943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:faafc26e126d2350baedf21624326da11f5c906d040e431b2aa69168fe5577ea

Observation 3fe09f3b-445e-4e2e-986c-d84c873ff460 · outbound

This paper cites 2244, Springer, Cham.

The decomposition space perspective 2244, Springer, Cham

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.831701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:fa2646845d78a9c5fb4f1087e694e2cdbd671d3e03df196a1e7953d82f86e803

Observation ec1c3268-ad66-416e-aa65-e8539fea9b88 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.841517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:cb5b1e8289573561b30c4d71197a4d6151a9c023b203f202bc7b536e504aeb25

Observation e261aec4-780e-4bbb-b5b6-2153057cba39 · outbound

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

The decomposition space perspective Proulx, and Mark Weber, Every 2-Segal space is unital , Commun

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.808037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:f8fc2425d782d4e05f8fa7b6aa15b5c6c1b488e728f48ff80d40184c437c6c1b

Observation adcd6ea2-8c9a-42b6-b4f4-08c85841307b · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.814796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:f63c5578c371e1ab118bed338562e188c63ff994788ea77f49e4284f8de2f08b

Observation eec5acc9-2917-475f-8924-47a386b85048 · outbound

This paper cites Decomposition spaces in Combinatorics.

The decomposition space perspective Decomposition spaces in Combinatorics

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.587404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:1a44e34102bfc5f3e1ef333c3ad531c42e10184050b101209a5791d7befebbff

Observation de3c5106-2394-4b71-9dcd-451bac6535f0 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.828377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:d7c36f094a7f21e2e44c1f42e48a81a36d5ea19daf078979207839f5abd99b52

Observation 4f729eaa-bdbe-45c1-b53a-1cb84d81db3a · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.834936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:2eee69f153838dcfab076d13cdad879debf2b9321dad5842555dda0e50e20765

Observation b2cca9a0-7e5d-4988-adc4-8bb093c30686 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.825069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:5c1c3a16bcff55b4995b013b10a9e93c03d46d91937c159c3d99cfdcf52d5b69

Observation 86700064-fc3e-4e21-a9db-451f21cab3d1 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.821516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:c65ab6fdd1fd1507d2ad6035a22a1484df6463c986b200247dad1e9cd993c3b0

Observation 220162f5-182b-4db8-bd47-5829f2b68c52 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.838379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:acd9cec52d9cd1eaa3450a484f65f89431cfd6f4d18109a02e6871fb7a9d585f

Observation 8b047d89-228c-4242-bc7e-d0f5bc164a64 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.811458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:fcca8221a5b092835cd2ca1708a63c4ffffa539a1751a7ccf90accbdc9a52b18

Observation cad4530b-b22a-4232-ad60-a6f0180ad6c7 · outbound

This paper cites Pure Appl.

The decomposition space perspective Pure Appl

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.804535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:f80a2bd902177c5774aa40dcbd45cf4647d94fc9105f8e421036b10b48b6c70d

Observation a0a38d05-f278-424e-bf54-c8eafe391d2b · outbound

This paper cites G¨ odicke.

The decomposition space perspective G¨ odicke

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.618048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:0fe28443e440389d21a9625b88343cf97346deaff4b241a075507773b4b8bd00

Observation 7f8b650c-f92f-47eb-8dcf-d16254fe2e20 · outbound

This paper cites Operadic categories and 2-Segal sets.

The decomposition space perspective Operadic categories and 2-Segal sets

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.612053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:2d572b2b2048e30898a94720f7242f8fcad69f087279de44a2df0a567a2fc622

Observation 48768f49-45d9-469d-8c76-41263693384f · outbound

This paper cites Math., vol.

The decomposition space perspective Math., vol

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.818165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:d042ce8f0743aab7a0ed64e9212a52bcf2feb848c6a5fcc79152ea1cad973cea

Observation e1ca0545-41f6-45d8-8f9f-571a07aaa1f4 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.581522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:c0afc39da6783e29d5fe00f888b7803f1913b51ac7df4704ca39534f1f0878f8

Observation e351a4f9-a9b0-4577-8636-918f1687e1b0 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 35

Resolution
verified exact
doi, observed 2026-05-23T21:28:27.430847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:dc9bea77de9fda5a4d622c4133ccb37b6df137e1b56970811f2d6f5fd90ef8bf

Observation 146aecc6-34d3-40af-9c60-bed09e1748da · outbound

This paper cites Spivak, Decomposition-space slices are toposes, Proc.

The decomposition space perspective Spivak, Decomposition-space slices are toposes, Proc

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.922462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:844cc0d52e6b2623fcf0099604c67264bb831e8eb34de8b01098837d8574b8af

Observation 9296a2b2-5e8b-4114-89b7-6ab3f70ba868 · outbound

This paper cites 170, Princeton University Press, Princeton, NJ.

The decomposition space perspective 170, Princeton University Press, Princeton, NJ

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.925575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:de9f133ae06a631fc4e2c58e3fa38d87300b82f38137eb57790ee1b508ef00fa

Observation 151a98c1-8ca5-47c0-9140-e44387ae023f · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.932145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

The decomposition space perspective 5, Springer-Verlag, New York

Reference 39

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The decomposition space perspective Unresolved cited work

Reference 40

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This paper cites Higher Segal structures in algebraic $K$-theory.

The decomposition space perspective Higher Segal structures in algebraic $K$-theory

Reference 41

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Reference 42

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Reference 43

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Reference 44

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The decomposition space perspective MR 353298

Reference 45

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This paper cites Stern, Perspectives on the 2-Segal conditions , this volume.

The decomposition space perspective Stern, Perspectives on the 2-Segal conditions , this volume

Reference 46

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This paper cites 1, Elsevier/North-Holland, Amsterdam, 1996, pp.

The decomposition space perspective 1, Elsevier/North-Holland, Amsterdam, 1996, pp

Reference 47

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Combinatorial examples and applications of 2-Segal sets cites this paper.

Combinatorial examples and applications of 2-Segal sets The decomposition space perspective

Reference 8

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Higher Segal spaces and partial groups cites this paper.

Higher Segal spaces and partial groups The decomposition space perspective

Reference 25

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