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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 2026-08-17T06:30:58.91139+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
raw_fallback, observed 2026-08-14T15:15:06.078772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.177451Z digest=sha256:9de09534244a13ff0f7838fc02e0764c2ca3a49c2d8478cc113d233a37985eb2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.187367Z digest=sha256:f587551812eb4ed2eb5a667580b30c2bf27692bb84439cbc4203a68c85f6a2b7

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.195834Z digest=sha256:59800dd75801f9b24e693a97fcd632965b53ca739e85b2fe8c7ba9ec4dd0019b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.209399Z digest=sha256:47515236bc1ea409c0682099d77b8110bb4ed094fcfe59ced8bb35687421078b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.218172Z digest=sha256:0ac67306443b4f61f6f0c6bdd7e2f153b9003c5b70506f8b62faf753c023f7c7

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.227486Z digest=sha256:b12c18491f8b841e4f1632ace2375d5aa2cae46a6bc7162464b430200a299b0e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.235304Z digest=sha256:f72dc166b50387361b2a6794374e32bea2f3d96d208e6471249e41b76c9ae29c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.244866Z digest=sha256:a79401c65d7b1f150f6ab8910b60a207b21bc16a18e78963f06c4dc4e89f1183

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.254351Z digest=sha256:97fb8d791777e5ab0126a324d1cfb6a7d11b5a5258dbbe24f8238a0b2344a3f6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.260678Z digest=sha256:6df3436b40250f858ec66fc4ad0a51aa8a55d6d2dc69a28a85188f5b1dc3c1cb

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.266673Z digest=sha256:a642396df18114fd9dace020640bad4939346ebb3c24eb108bc34f147d31508c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.273657Z digest=sha256:9cc925ce225a993cf39cebb963ac090fc6dd59305fe0847029e21b2627d9d682

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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.296144Z digest=sha256:f6c075024c6558ae9e53af966921181797c0cd84a577537e11e394f8af5e04a7

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.305084Z digest=sha256:696d38deea9d8db28a300a4d902079d1eec13811cd492459afd8343953ea0f0c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.314548Z digest=sha256:3962bbe81842d074ab8c563f1ec9d9dc1b31a0841356f78e7868b6fb51dd5d90

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.322529Z digest=sha256:0ccf90bc3b8ff6ced15b445574f4e079c4abcb8a71a14a3049b0958addcbfb55

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.333169Z digest=sha256:68361c163ae46141a6bf8687cafeb6f55b15e20f91c6871057cde0dcd5412fc2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.340708Z digest=sha256:1ec53b25ff03c17a89d2df4be194f5a81be3d26fd001b5b312d0f05dfd38e3a0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.352096Z digest=sha256:8ebd38d9ac106d06a74735a648db9cf5faf8628e17d53b50ddf9ceb8e28f5669

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.360178Z digest=sha256:364d8c8cf233af12103281d324591bce4c822d2bf34eb1c601e9a5129da355d3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:15:05.369798Z digest=sha256:bbc9cda0addea8a071704c9ea38db7691dd3b690f0d6a971b15620806796974f

Pith citing papers

No inbound Pith citation observations are available.