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Paper Citation Record · LEDGER

A family of simplicial resolutions which are DG-algebras

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2412.21120.

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

pith.paper-citation-record.v1
2412.21120 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:16:19.286041Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:43:05.426596Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T03:32:27.991773Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact2
  • verified fuzzy17
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 79a98e30-8bb7-495d-a781-7bf4c1c2ecaf · outbound

This paper cites Avramov, Obstructions to the existence of multiplicative structure s on minimal free resolutions , American Journal of Mathematics 103 (1981), 1.

A family of simplicial resolutions which are DG-algebras Avramov, Obstructions to the existence of multiplicative structure s on minimal free resolutions , American Journal of Mathematics 103 (1981), 1

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.604072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.189601Z digest=sha256:7464b3cb0aaee4a0fbc7939aa4238932082ff262511ddc767c778184fccac183

Observation e288e0c7-3b86-4855-baf8-2b7b802ec330 · outbound

This paper cites Avramov, Infinite free resolutions , pp.

A family of simplicial resolutions which are DG-algebras Avramov, Infinite free resolutions , pp

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.593213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.194420Z digest=sha256:249a8068c83f8d73479a82cbf3bb2381abc711c5fb9efd1be501f1ea6e637c12

Observation a2f24df9-c49d-4401-b166-766ef2f17ed8 · outbound

This paper cites Thesis, University of Marburg (2002).

A family of simplicial resolutions which are DG-algebras Thesis, University of Marburg (2002)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.583807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.198533Z digest=sha256:3944549425e7416500f56e10960bcc35d38f030c11b45a6c12156a25e5a98de6

Observation 075cf03e-86a9-4f05-bf29-035a417e4fb5 · outbound

This paper cites Reine Angew.

A family of simplicial resolutions which are DG-algebras Reine Angew

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.574264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.202458Z digest=sha256:9df474ee0db016d701636f766a4e5977b41b7fb6ad7ec1a16c60b6597165cda6

Observation 121f4462-0b09-4fb2-a3d0-9a30e218a452 · outbound

This paper cites an unresolved cited work.

A family of simplicial resolutions which are DG-algebras Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:16:19.564799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.206521Z digest=sha256:33ae1e9077674ed5d0a683c261f4358d52bb12d031576df68ffe68a6cf3c0faa

Observation ed281f8d-ae37-4ab9-9cc7-01bc4459cb1b · outbound

This paper cites an unresolved cited work.

A family of simplicial resolutions which are DG-algebras Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:16:19.553964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.210616Z digest=sha256:aba3b472aa43a9d168addb6d95b4334ecbaf1b834a1316429c47cda7f42dc75c

Observation a524f6fc-d77c-4627-92f1-7cf872309f45 · outbound

This paper cites an unresolved cited work.

A family of simplicial resolutions which are DG-algebras Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:16:19.543010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.214770Z digest=sha256:12577b9e0c89217d8e20ba6c9d14aa546793331d3e56003b0099726894800e9e

Observation a49d8305-237a-4b52-b2e8-6879a5158f84 · outbound

This paper cites Algebraic Combin.

A family of simplicial resolutions which are DG-algebras Algebraic Combin

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.532309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.218255Z digest=sha256:80f4bd0fe36e5ac2d91fcbb9aef3bec8287b654926888cdbe2f5157d94cf1c0a

Observation 595316ec-eb1f-41a6-b798-d3cf3bd9f28a · outbound

This paper cites an unresolved cited work.

A family of simplicial resolutions which are DG-algebras Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:16:19.521815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.221881Z digest=sha256:c1ec70a5993c8ea76cb72d839665d52265c67085784da68260ebc516652e19a9

Observation f374b3f1-cb43-4d33-af3f-29967338a43a · outbound

This paper cites 150, Springer Science & Business Media, 2013.

A family of simplicial resolutions which are DG-algebras 150, Springer Science & Business Media, 2013

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.511182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.225248Z digest=sha256:19c4647ee6cf0a2d7a9137a4532df5b8c4d1f131ca8d046b29c58d1aa1e2418c

Observation ae033dc5-bc2a-40dc-a660-fbadc0ef2eb6 · outbound

This paper cites 2152, Springer, 2016.

A family of simplicial resolutions which are DG-algebras 2152, Springer, 2016

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.500069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.228466Z digest=sha256:28b3d95975a4c67dca6ec71a575d76d411e7e064d68c178eef196e7e7160c897

Observation 3bb8e6b1-6dcc-47f5-b3af-864052990334 · outbound

This paper cites thesis, ProQuest LLC, Ann Arbor, MI, 1976, Thesis (Ph.D.)–Brandeis University.

A family of simplicial resolutions which are DG-algebras thesis, ProQuest LLC, Ann Arbor, MI, 1976, Thesis (Ph.D.)–Brandeis University

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.488327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.231721Z digest=sha256:eac5b355f9fa7f2c1f6e7d7c7f0d247812018da064c25b83adebd2eec9373fc3

Observation 5c415fbc-516c-405d-b6e3-faefbcf7a073 · outbound

This paper cites Grayson and Michael E.

A family of simplicial resolutions which are DG-algebras Grayson and Michael E

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.475331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.235029Z digest=sha256:fe1d39fb5c9a7858a2b1012b6963773ae10ee8294543b96de1a32ac695daf899

Observation 52c12f11-3a3c-42bd-afd0-4263b6af869d · outbound

This paper cites Iyengar, Free resolutions and change of rings, Journal of Algebra 190 (1997), 195–213.

A family of simplicial resolutions which are DG-algebras Iyengar, Free resolutions and change of rings, Journal of Algebra 190 (1997), 195–213

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.463086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.238354Z digest=sha256:1bbe15eddd2b6866f3d94464c3cae125b8dc9d65342c4bbb493a844f2b590d84

Observation 3ec89851-c6e9-4899-892d-29b49e4a7c36 · outbound

This paper cites 3, 1227–1245.

A family of simplicial resolutions which are DG-algebras 3, 1227–1245

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.452403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.241433Z digest=sha256:3a8234168e99a59159814f03e1e0fda068bb250e19ba8a42eb64ec8287487d39

Observation 9b8b6133-f499-4328-a830-56615a83fbdb · outbound

This paper cites Pure Appl.

A family of simplicial resolutions which are DG-algebras Pure Appl

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.441344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.244677Z digest=sha256:9bbcd298b1827837345b2d49e11dcdd2f3e67dcb6b0c1f79b2129f6784f0cdc7

Observation 5f7b444b-2a37-47a3-a28a-25d8c4a24b99 · outbound

This paper cites 589–616, Springer Interna- tional Publishing, Cham, 2021.

A family of simplicial resolutions which are DG-algebras 589–616, Springer Interna- tional Publishing, Cham, 2021

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.431282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.247798Z digest=sha256:89f65da179b3473a7cd0ec33a1c0e2435ce75c1c2eeaec36e24612ce98dc1bf2

Observation 87220bb5-17c1-44b1-ba8b-dcb9b3b87adb · outbound

This paper cites thesis, Brandeis University, 1994.

A family of simplicial resolutions which are DG-algebras thesis, Brandeis University, 1994

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.421740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.250923Z digest=sha256:9b215c725f1f751fbe7a7be92eb728dc8a523e5cabb1ad94da85b9c84934b8c3

Observation 4e79b221-b0f6-44fd-ac36-b17a2eb554c1 · outbound

This paper cites an unresolved cited work.

A family of simplicial resolutions which are DG-algebras Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:16:19.411800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.254361Z digest=sha256:fafbb6f1702876b8f58220e9abc2a02cdf1c725349b86aeccc4bf99292cba238

Observation 4aa689d1-8cf8-4808-839b-f48fadf4d6d3 · outbound

This paper cites Relations between Poincar\'e series for quasi-complete intersection homomorphisms.

A family of simplicial resolutions which are DG-algebras Relations between Poincar\'e series for quasi-complete intersection homomorphisms

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:16:19.341194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.258641Z digest=sha256:9afa8bdbc97c175ec33ed85471f6bea8c92f211308d825cfe8945266dffaf683

Observation 570437f7-cf22-42ee-8e66-a34422b33b62 · outbound

This paper cites an unresolved cited work.

A family of simplicial resolutions which are DG-algebras Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:16:19.401480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.264678Z digest=sha256:2bf9d587ea3306118abbf7b35d3a8e79abae959bae147f256e0f117a13f2399a

Observation 711522be-9f69-48bd-a462-2935b5e787ea · outbound

This paper cites 4, 453–470.

A family of simplicial resolutions which are DG-algebras 4, 453–470

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.389668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.269431Z digest=sha256:b2dfd074b4a7f006d96ed25e85f29a8f716af2e064d3d1b3e7cccaeb1f17376b

Observation 4867c705-c1da-40c6-9f34-8c0ff1e1a25d · outbound

This paper cites Resolutions of modules with initially linear syzygies.

A family of simplicial resolutions which are DG-algebras Resolutions of modules with initially linear syzygies

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:16:19.325049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.273858Z digest=sha256:f46b7e1607b6510b646df6290ad8e73aafa2bd6f6b280823f04b31ee05e3517e

Observation ef5d6c6a-c82d-4897-ad19-028eaf1b43e9 · outbound

This paper cites 2, 4, 8, 10, 11, 12.

A family of simplicial resolutions which are DG-algebras 2, 4, 8, 10, 11, 12

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.377348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.278409Z digest=sha256:328dccac1041580b2d447c412e90143eff1ef79dc5ced5ffa7975bf45b0f4848

Observation 60a1fe23-7213-4496-a20a-35ee1a690189 · outbound

This paper cites an unresolved cited work.

A family of simplicial resolutions which are DG-algebras Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:16:19.365480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.282059Z digest=sha256:a45ae706aded4247fb8a38bce9678895ebee73163af359490cdd6b7a6cc92678

Observation 718d6223-9336-43dc-b12a-7ae96b0d867c · outbound

This paper cites thesis, University of Chicago, Department of Mathem atics, 1966.

A family of simplicial resolutions which are DG-algebras thesis, University of Chicago, Department of Mathem atics, 1966

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:16:19.352913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:16:19.286041Z digest=sha256:8402e4c22263df030fe50558c819aefeea6feaafe34a2986b3001270ed80425a

Pith citing papers

Observation a5f1b40c-ecb9-4b31-b1a8-f467fd24eb1c · inbound

DG-Sensitive Pruning & a Complete Classification of DG Trees and Cycles cites this paper.

DG-Sensitive Pruning & a Complete Classification of DG Trees and Cycles A family of simplicial resolutions which are DG-algebras

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-23T03:32:27.994763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-23T03:32:05.066222Z digest=sha256:8df7e753ef2d20c7e6253f06fafe166a267963b73dec9dd23583800aeabd5dc2

Observation 8d8ab538-94ce-4dfa-88ac-d7e0add71ab8 · inbound

Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions cites this paper.

Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions A family of simplicial resolutions which are DG-algebras

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-08T16:43:05.426596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T16:43:05.426596Z digest=sha256:6955c5adb299f5e3e64290341c98750b8771d2b1a0ff6408f50f6b0af7d0448b