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Paper Citation Record · LEDGER

On an example concerning the second rigidity theorem

As of 17 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.177451Z digest=sha256:37e7e7d56edd18edfd939cdf124d2081f4b72daf2716f4d29d109f289fc5a90c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.187367Z digest=sha256:dddc39eeea375415a51c456af83f4e4e657e1c1b83da1651b395c29518f5e3a1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.195834Z digest=sha256:844afbb22cc9bb0218c1dffd3927c4a7d0645e03a1f8d8a49071cbfc86aca8b4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.209399Z digest=sha256:76e0b6c1173619e7490ce00e44ad620cf65c36c99446fddb6b44b029011272db

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.218172Z digest=sha256:8c6f5900e4efaeca23dbece5a343b6f2cc27c29cbf4269f0fb1249a11d4ac62a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.227486Z digest=sha256:e47921dcf72a4e1dfe746526f63ded9c78f74510d2f133901ffbc9fc948e0fcc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.235304Z digest=sha256:508952fbfb0b47e367d4a2acc075f68c9e341ea1f7b78876f1979437ce520d29

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.244866Z digest=sha256:9139d8a3975959f1495d7c37ea2e8385d973fdb47cba293526a80318bba6fccb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.254351Z digest=sha256:6b141d751e7e2650a3a3371f872539045b713bc751f272113f7750241c33b031

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.260678Z digest=sha256:fa20ac5172e295b17989ef7a24126986dfa2d4e62e85e98fbbda33fafb4f95d0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.266673Z digest=sha256:a989d6f2e987d69af9e925f14761de2726141670e709a6f4daeceeb12c634238

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.273657Z digest=sha256:4a9c18503e4867845f3b7963fa7a8d16ef67d5824c6a26d490bb30cfee9a8415

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.286451Z digest=sha256:2f6ff487d73942bc47d9fa996c6a8c8ecdd15efd650317cb24668560a8eeec96

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.296144Z digest=sha256:c23a9093684cb3fa0adb4a0e26205ed36ab02410ac5c720b45e16900fd065799

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
raw_fallback, observed 2026-08-14T15:15:05.701734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.305084Z digest=sha256:609811156445920dd7b85a1fd8c7a8390f3c1dd1bf8355d8fccdd6ccaff2f0ba

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.314548Z digest=sha256:62bec264197a2986b426a8c3d9b765b42a9565ce580f09a51570c34c3b0da7e9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.322529Z digest=sha256:f1d991eaccd7cfe0aa1800e02f1d3a638df2c8393d07f39ae6361ba0c7ad519b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.333169Z digest=sha256:b46a6ab7ba92cbe081ec7471fb69b4fb6bc7ed272eb60cfb1ca3bc5850067e16

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.340708Z digest=sha256:4d26133f529312547fc6286e44814c443b6252455c1153f1401b03147253d3ec

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.352096Z digest=sha256:2f4ae2b270612272435bae4980054a55ea4ee3b1a66501892c709e8ec748ad5e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.360178Z digest=sha256:333fc93cd256f33097937d7233d7ea2100216c497c042da6a48bf6642a07f611

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:15:05.369798Z digest=sha256:3a3acb365ec3631f74e824572935f33048903fd73c4c9bcb2c42e8fdff7609f6

Pith citing papers

No inbound Pith citation observations are available.