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Paper Citation Record · LEDGER

A family of simplicial resolutions which are DG-algebras

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.189601Z digest=sha256:6e9abb1c07d45f9e211f7b5a0de9a05cca37282732d72ef9029431190a3dee75

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.194420Z digest=sha256:6e741f6a3d2edebd8ea28a9428b46c86a05d06115b8befc8effadf428ddcb3fe

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.198533Z digest=sha256:d4b5489d8003c41f34ddaf6bb606b240051528d26758b834c53c06daa0d702b2

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.202458Z digest=sha256:dd4843fdfd9596d94d74dda20292de5e999a50709a887b0ca45b018c472fb7cf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.206521Z digest=sha256:7921e14c76c66eae631906a6ba82e59c1d854ee536a43020cce6b3b1ce9a305d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.210616Z digest=sha256:a8d4c709d81e5309836a5a5241d1a6317039e4bce6d7e01e143d7ecdcbdb5757

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.214770Z digest=sha256:a5ff007f4c35858e57748d52878983c0bb7fc5028b10a5bce413f4e07aec9c50

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.218255Z digest=sha256:02296e63e61104d5db9c76bc06042daed6f57ea9bced3b8e08acd6ecd2d7c9b4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.221881Z digest=sha256:ef1dbd0a12ce94852a2291e8ae5ea6fefd347b8027b3c0150ca64f165c3d213a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.225248Z digest=sha256:c7e177b3fde3baf94766c6a03bea6f7315eef58aa8e1c77c09e6cc1d3f85cf99

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.228466Z digest=sha256:52e8f8292e53bd4c53decd89a52813303f5936df20cf33733193a30bd606ec67

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.231721Z digest=sha256:3a9e7b487ee7f399551c26fde170c2338ffcc9b9c644a4ebb55ae1379bee4427

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.235029Z digest=sha256:cd838ad5deb6ee781c00ab725e6f36cec89be826745e6f38ea00e342e0fc3c9d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.238354Z digest=sha256:4a2697aee84ff555523763c8570ab369204979a78294aa5f42051eb8a07f87be

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.241433Z digest=sha256:422efdbb495b667730b2584f6bacf3c276b96b4140724f14319739eaf3f2beca

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.244677Z digest=sha256:f3eb22586afc886c6803ef24a90cb5dcf6be8582d1d1f006773e00fc2fe7a7d5

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.247798Z digest=sha256:5edf2ef721f6be217be2415300fd9202711b024f6dee6b6d71ddb44731cd1254

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.250923Z digest=sha256:05ae7b2a07ff64346a496e39214131e8e31f963f386d14f46afd20390a9095b0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.254361Z digest=sha256:e078bb8a44a17d22146af8ca65ecf7c1d90f95c2e0fc5adab1979780490e9fdd

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.258641Z digest=sha256:3f2f8657a1f4cbb567bced05171943630946556d8c941078dc4915bcfae170da

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.264678Z digest=sha256:8524f79186ef73dea8538492bf5ce560f4679fe5f90ed871f01965936ca0c611

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.269431Z digest=sha256:f24af4fd0ed4b147d2ca9cad32506ed4334c6aa069773cc2e082b227567e7cbf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.273858Z digest=sha256:43b1f1d4692d07b369ab47ecb70d2277d005f88d4e0141149f4d1533072b097d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.278409Z digest=sha256:ee60beb0d659ee7617b67774761cea5882ebf0495983bbef930393c5b786d75a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.282059Z digest=sha256:4761039c20dd412d9bb6a73153bef5c50b789321682d6a28bb81f6c7ee0ebcf4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T23:16:19.286041Z digest=sha256:eac6a04b322cfb9774108a656191e7faea4b888d99b3bb002e7ccbcf8184d9e6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-23T03:32:05.066222Z digest=sha256:8590582a339ef3bda9a06de56a6912e5935bab0aafe7a0f2393264f0ccf71b78

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