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Paper Citation Record · LEDGER

On an example concerning the second rigidity theorem

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.02167.

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

pith.paper-citation-record.v1
1908.02167 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:15:05.369798Z

measured 22 of 22 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 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

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a04becd-6f80-40b1-af57-aeb499c899a8 · outbound

This paper cites Algebra 26 (1998), no.

On an example concerning the second rigidity theorem Algebra 26 (1998), no

Reference 1

Resolution
verified fuzzy
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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=2026-08-14T15:15:05.177451Z digest=sha256:8bfaad113459b2d2b115c2b2fc33dc27c9337384885dd83261c8a5ede01b0412

Observation 115e6383-97a9-4e8e-8141-3093c78b844b · outbound

This paper cites 94, American Mathematical Society, Providence, R.I., 1 969.

On an example concerning the second rigidity theorem 94, American Mathematical Society, Providence, R.I., 1 969

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:06.054216Z

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=2026-08-14T15:15:05.187367Z digest=sha256:5b8fb1a196ca158a8d08492b4e88fb9de56fc06dcdaec2f057a011d6a110e5e7

Observation cbb55acb-085f-49f9-87cd-ad984cdaad72 · outbound

This paper cites an unresolved cited work.

On an example concerning the second rigidity theorem Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:15:06.029177Z

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=2026-08-14T15:15:05.195834Z digest=sha256:b20b7736ac4bd83e01d0924ba6515d51151143b66fb4acf5607657940e750f22

Observation 48a07152-3ab6-4a36-a7c9-2719be8e9ceb · outbound

This paper cites Avramov, Infinite free resolutions , six lectures on commutative algebra (Bellaterra, 1996), P rogr.

On an example concerning the second rigidity theorem Avramov, Infinite free resolutions , six lectures on commutative algebra (Bellaterra, 1996), P rogr

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:06.003289Z

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.

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Observation ba82e933-099c-415d-b101-835ca8f01809 · outbound

This paper cites Avramov and Ragnar-Olaf Buchweitz, Support varieties and cohomology over complete inter- sections, Invent.

On an example concerning the second rigidity theorem Avramov and Ragnar-Olaf Buchweitz, Support varieties and cohomology over complete inter- sections, Invent

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.972302Z

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=2026-08-14T15:15:05.218172Z digest=sha256:abd77f7331428b67c9e215c6e74fc41231fa2698fdc94fd30c7c02d2cf3a6688

Observation 23cfd44d-74ef-46f8-851e-cc9e02ed85ed · outbound

This paper cites 39, Cambridge University Press, Cambridge, 1993.

On an example concerning the second rigidity theorem 39, Cambridge University Press, Cambridge, 1993

Reference 6

Resolution
verified fuzzy
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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=2026-08-14T15:15:05.227486Z digest=sha256:bed2324442162ecf99ab2d09b589799bc606f9282aff85d382ad38779170bb26

Observation d78e113b-1724-4c42-83b8-2af56f748aac · outbound

This paper cites Iyengar, Greg Piepmeyer, an d Roger Wiegand, Criteria for vanishing of tor over complete intersections, Pacific J.

On an example concerning the second rigidity theorem Iyengar, Greg Piepmeyer, an d Roger Wiegand, Criteria for vanishing of tor over complete intersections, Pacific J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.916903Z

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=2026-08-14T15:15:05.235304Z digest=sha256:4942f13ac58e32defba13fb8559e5c810214b15ee5482c5cf80693c9d9e872e5

Observation a128b56d-55e2-4322-866f-271ba8676a68 · outbound

This paper cites an unresolved cited work.

On an example concerning the second rigidity theorem Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:15:05.883864Z

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=2026-08-14T15:15:05.244866Z digest=sha256:2e8117475224bedd258e94443ff24341cd2136656c93b2c23bff4843d2bd4f9b

Observation 8c683a49-0915-4347-84a5-f7b7de373585 · outbound

This paper cites 5, 1670–1684.

On an example concerning the second rigidity theorem 5, 1670–1684

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.860569Z

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=2026-08-14T15:15:05.254351Z digest=sha256:7fc5aa39baf06733bac88ab51dc41c42c739035194152df4d4fae0538d7a584f

Observation 1dcf9e1f-293c-4dd2-a7a9-1a41c64a1b24 · outbound

This paper cites an unresolved cited work.

On an example concerning the second rigidity theorem Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:15:05.836405Z

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=2026-08-14T15:15:05.260678Z digest=sha256:a816bac4c2243621f5b912505645a227c75dfa425ebff4a82d8c79ca102914b9

Observation 660e5b97-4ef2-4e68-963b-4c4bc7d6add9 · outbound

This paper cites Powers of the maximal ideal and vanishing of (co)homology.

On an example concerning the second rigidity theorem Powers of the maximal ideal and vanishing of (co)homology

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:15:05.443190Z

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=2026-08-14T15:15:05.266673Z digest=sha256:616450f601c7f489f1667321db60f251942b540890e04d7915ff47459f97486d

Observation 179d409c-3bf6-4492-b066-e16d571d6399 · outbound

This paper cites Dibaei and Arash Sadeghi, Linkage of modules and the Serre conditions, J.

On an example concerning the second rigidity theorem Dibaei and Arash Sadeghi, Linkage of modules and the Serre conditions, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.810126Z

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.

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Observation 33bd7a14-3d83-4591-a245-1b4aa3253c71 · outbound

This paper cites Graham Evans and Phillip Griffith, Syzygies, London Mathematical Society Lecture Note Series, vol.

On an example concerning the second rigidity theorem Graham Evans and Phillip Griffith, Syzygies, London Mathematical Society Lecture Note Series, vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.782615Z

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.

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Observation 5c6dac90-dfbb-443c-922b-b729a691935f · outbound

This paper cites Grayson and Michael E.

On an example concerning the second rigidity theorem Grayson and Michael E

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.740692Z

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=2026-08-14T15:15:05.296144Z digest=sha256:d70d118c9b21638b459943133d884dc9bce4eeae4bfd3a60ec9a90a7057654ee

Observation 084dd1bc-ee26-42ca-9ed1-d44860780bd9 · outbound

This paper cites (1994), no.

On an example concerning the second rigidity theorem (1994), no

Reference 15

Resolution
verified fuzzy
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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=2026-08-14T15:15:05.305084Z digest=sha256:03f7434737cb739e8b01724952f62d976c702faefcdc6fa409748ed120dfe403

Observation 7c171647-0734-487a-a3ad-0996bf8da86b · outbound

This paper cites an unresolved cited work.

On an example concerning the second rigidity theorem Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:15:05.668610Z

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=2026-08-14T15:15:05.314548Z digest=sha256:446102c933b424c964cfd4089630c8ba77e50c6f852922ee566a27cd8d52521c

Observation 64188063-447f-4fe0-a5a0-1b8e2aecb608 · outbound

This paper cites an unresolved cited work.

On an example concerning the second rigidity theorem Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:15:05.637425Z

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=2026-08-14T15:15:05.322529Z digest=sha256:8c931d1feda472d784cf85e357701f936307849d679ac5add12620e438755104

Observation ff80e842-fe62-4568-b106-76a3740cff20 · outbound

This paper cites Tensor products of modules and the rigidity o f Tor.

On an example concerning the second rigidity theorem Tensor products of modules and the rigidity o f Tor

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.592525Z

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=2026-08-14T15:15:05.333169Z digest=sha256:757d0f58fd78d1fdc2ab50c6911376bcf7d33e6fec159bae0e1721fa268e2ecb

Observation 1a0b03cf-d4d4-471c-90c9-a8d3c0136b75 · outbound

This paper cites an unresolved cited work.

On an example concerning the second rigidity theorem Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:15:05.563193Z

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=2026-08-14T15:15:05.340708Z digest=sha256:dbd29b89438abe6581e72bdc0dc5f0ca51d327cb16359046b8839412cc836a95

Observation ea7fa2bd-2a90-41df-b7a6-c0a4678bf682 · outbound

This paper cites Algebra 28 (2000), no.

On an example concerning the second rigidity theorem Algebra 28 (2000), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.522085Z

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=2026-08-14T15:15:05.352096Z digest=sha256:76af3a586e17a014f507082a0d90c01e6773e8fa24c67772bf090b4db06a0cc5

Observation e152c667-84c7-4667-ae00-518fb8759a6f · outbound

This paper cites Frank Moore, Macaulay2 code to compute the biduality map and the pushforw ard module, unpublished (2015).

On an example concerning the second rigidity theorem Frank Moore, Macaulay2 code to compute the biduality map and the pushforw ard module, unpublished (2015)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.492078Z

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=2026-08-14T15:15:05.360178Z digest=sha256:984bab5aae78f982df540df0a2fa372a96b91d3838fe11c619ca8e73b1fde3a4

Observation 36807f99-60ff-4284-9766-7a024049dd8c · outbound

This paper cites Pavaman Murthy, Modules over regular local rings , Illinois J.

On an example concerning the second rigidity theorem Pavaman Murthy, Modules over regular local rings , Illinois J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:15:05.465088Z

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=2026-08-14T15:15:05.369798Z digest=sha256:989f2767782ecb6802d1620d6578779902d02701a49b0e3e8dccca6a469b1c38

Pith citing papers

No inbound Pith citation observations are available.