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Paper Citation Record · LEDGER

A family of simplicial resolutions which are DG-algebras

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.189601Z digest=sha256:af3821e92796954912fb2c30250dc6a0d740d8c8507274d02fe338af5150ec88

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.194420Z digest=sha256:4a28439c898de2118bbaae61da2e91c5af45cfab2bf8d12b6318f7a93cb58674

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.198533Z digest=sha256:1db49aee1cdce0da03d91aa4cc74c29572a1a9778b45f64552bf7744b612ae28

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.202458Z digest=sha256:8c2ca8d6bf6bbd3207adf28d7389daade4c03b07e5bf5598e7814f8ac611c3dd

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.206521Z digest=sha256:fd8b6dae3e451c0fcedfea8de32e7e4b80567fc1764b190892bef3cb7ff9f968

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.210616Z digest=sha256:4827f5dda5b81710c9a7608593529db0a8a4ed36f9155ff9e13987a3927fd194

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.214770Z digest=sha256:b4fdc2ff6f14662677b7fc1a8463e4e11e7ed04729cdadbb705e5ec6b92ae17b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.218255Z digest=sha256:3a8fb4f032aabc4f98a6b6543bd0c22251f609a21b2f1627b5310778c09fcc9f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.221881Z digest=sha256:f52dcb7c42cec8e1135cd64d7aa37ad408fe4c52ef2aedc47d35b51515c3f3e8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.225248Z digest=sha256:8cf1bb51928ff07feaf6db6cf42ecad5495e6095bbfb5db2a866b4a60e07f3ce

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.228466Z digest=sha256:da7c625d31248668dc122ba0ab6ccf234be1d8b4e934866307d34d2d6268e040

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.231721Z digest=sha256:d91e898883630d3e5e4a8c794061999dadbc48be2abac81b6dd9a674cdcbfc3c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.235029Z digest=sha256:f03a45f9f56742736a14a45bece057c8f6df2c1256dc12753e9e1fd021868a97

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.238354Z digest=sha256:a7986924e97814361c80f69cb57fdcc5b806ef4fba3a1f858b9e44e06bf2e084

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.241433Z digest=sha256:604196b821c05201140544f21d911ccc1824686781e8fdc029a9490db722bf23

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.244677Z digest=sha256:95c38ea620059c9c8995f8000634a4ef815ec01de4b2eaf1d1d4e589a31888d4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.247798Z digest=sha256:6d3957776b8e0557cee6be586064e7747ca53fc35885d92d4a778265b1b1c54c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.250923Z digest=sha256:02e2d8c1be7444a3a274715ee5aa0be9c4b8a88228778e0d6398f605a8aa1cb7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.254361Z digest=sha256:a7de0920b94530175eba18336ca7d3ffc80e7d0cdd3bcfeb35ff0fe06a783513

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.258641Z digest=sha256:90a51cfcd1adf724c169732ce91ecf8de2ba90769bb78285f4af155f0890d667

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.264678Z digest=sha256:b783fc59c830ee5e4f67008332668a433aac70d066e0a82a9cc52fb6c5810226

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.269431Z digest=sha256:8ed9d8d2dfb7db3e0d018ecf7835341379cd273ffa2aef9875f33f9afeb198d9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.273858Z digest=sha256:0567ca0df88f544bd69774a8a6a88ec125f263592fcf07906a726922b3222c3d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.278409Z digest=sha256:64df1210778ab650c6ce55aedf9f58ebd89258eebe98b677c371e5c422173077

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.282059Z digest=sha256:638b5040c3c1fb314a8b852a3634c079ecb5a757ad60225cf0beaaae19dbfbdb

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:16:19.286041Z digest=sha256:6492c75b21b54735e9de263a0e6fc37fcc04f2d6cd0753f8aca2b93a7d073c74

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-23T03:32:05.066222Z digest=sha256:cf811817a951e023fc34b07ff815dff99e21ea70fa99748e2684f249f3b142e4

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=sha256:154d99b3401014e323e19245dbea38465bed0d03ec598ce3f25363806c1a0418