Pith. sign in

Paper Citation Record · LEDGER

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules

As of 17 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.03648.

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

pith.paper-citation-record.v1
1908.03648 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:15:25.054961Z

measured 15 of 15 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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1fb4601b-8f45-4459-bea7-47266096f173 · outbound

This paper cites 361-374, 2000.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules 361-374, 2000

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.295570Z

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=2026-08-14T14:15:24.989177Z digest=sha256:84339f0346f741d00a09dd27de631d187903067845ff09ae2fc869a8d6b9209b

Observation c8eb13d0-6eb2-4df4-a1d2-61fb663f1967 · outbound

This paper cites The non- Lefschetz locus, Journal of Algebra 505: 288-320 (2018).

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules The non- Lefschetz locus, Journal of Algebra 505: 288-320 (2018)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.282112Z

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=2026-08-14T14:15:24.994418Z digest=sha256:c5905e7d9f45d5a176b0344f1e7edbd7462db0bf9ed9fda37e31b9cf97dcb028

Observation 401dc5ef-1a81-473d-a1f3-86abaf2c5534 · outbound

This paper cites Springer-Verlag New York, Inc.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Springer-Verlag New York, Inc

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.268636Z

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=2026-08-14T14:15:24.999097Z digest=sha256:e4d78d769710ddf97ef01bb93b45902bd0c1663cd631093229f8de4284ba387a

Observation 37cdaceb-c300-4b39-8759-9ac68b6dd5e6 · outbound

This paper cites Springer Science+Business Media, Inc.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Springer Science+Business Media, Inc

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.254438Z

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=2026-08-14T14:15:25.003996Z digest=sha256:59097f7f4005f004c5aff1a62ef575706f852f8e5ebcab839e6ec0e097dd9cc8

Observation d683eb3d-bc99-49a5-9b44-85ad764aadc4 · outbound

This paper cites On the Weak Lefschetz Property for Vector Bundles on $\mathbb P^2$.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules On the Weak Lefschetz Property for Vector Bundles on $\mathbb P^2$

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:15:25.094924Z

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=2026-08-14T14:15:25.008893Z digest=sha256:46a6f12955dfdcd145f8f5f4016a3acd799d1c60670852f934f13471f130b7d5

Observation f281ee9e-9b5b-4144-9866-51cab6d01ff8 · outbound

This paper cites Matematiche (Catania 67 (1), pp.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Matematiche (Catania 67 (1), pp

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.238808Z

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=2026-08-14T14:15:25.013817Z digest=sha256:365dff565750ac94533e1dee5b6aa00ad1d2b396007d36d4aab8dcf63a6305d9

Observation 26d79abd-96a0-4402-ac6b-05710a09c714 · outbound

This paper cites and Merle M., Singularit´ es isol´ ees et sections planes de vari´ et´ es d´eterminantielles.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules and Merle M., Singularit´ es isol´ ees et sections planes de vari´ et´ es d´eterminantielles

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.224156Z

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=2026-08-14T14:15:25.018395Z digest=sha256:cc1057c84714f62f161ccc39a0fe1c1ac71231210f2857b242c72c9ffce27db7

Observation 1cb9f2c6-6ad7-42c3-bf0a-93cdb7785348 · outbound

This paper cites an unresolved cited work.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:25.209097Z

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=2026-08-14T14:15:25.023137Z digest=sha256:19a183d508c3b58149db7b7b81902d017a2fdf8065f749e1b18672945d4fb23f

Observation 052a45d0-7da1-4fb0-9fba-c8244925e53d · outbound

This paper cites Journal of Algebra 262(1), pp.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Journal of Algebra 262(1), pp

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.194773Z

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=2026-08-14T14:15:25.028303Z digest=sha256:5677576b3d775db913d437a53bd1d00bff0f0a37c32099d076bbe856953c7150

Observation 0fa3b222-6aca-44b9-a8b3-63b8f6add007 · outbound

This paper cites Mathematische Nachrichten 284(7), pp.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Mathematische Nachrichten 284(7), pp

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.181020Z

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=2026-08-14T14:15:25.032803Z digest=sha256:1211b117adca3b057397d4b02557efe538287124497727a6a7afb82ff1620450

Observation 6f7edd74-7129-4091-a32e-0cbc7385f3d3 · outbound

This paper cites 63-80, 1992.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules 63-80, 1992

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.166107Z

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=2026-08-14T14:15:25.037157Z digest=sha256:80c635fb37c0bfe5c710ed85ed1040b03cef79310f285a20949e96f469a3bcd7

Observation 3730f954-63d5-4bf7-b29b-c9aa600254a9 · outbound

This paper cites Monomial Ideals, Almost Complete Intersections and the W eak Lefschetz Property, Trans.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Monomial Ideals, Almost Complete Intersections and the W eak Lefschetz Property, Trans

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.152215Z

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=2026-08-14T14:15:25.041586Z digest=sha256:c1573da377920e5e4f91eff17c26068f8d4bdd2a559c84049ea193fb9a731178

Observation c8d73792-fd69-4ad2-99ad-23a70c330661 · outbound

This paper cites Journal of Commutative Algebra Vol.5 No.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Journal of Commutative Algebra Vol.5 No

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.138705Z

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=2026-08-14T14:15:25.046576Z digest=sha256:3871768ba1b043ebf26377d291b58af606283c5e31103d2a42a32873a77e3667

Observation 1b1bff0a-fbea-43e4-860e-c68e4a6b7209 · outbound

This paper cites Birkh¨ auser Boston.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Birkh¨ auser Boston

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:25.124502Z

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=2026-08-14T14:15:25.050820Z digest=sha256:0b1f42277692b285e0c49254b3223ed128cbe2ab2392873e09898e873fcb68cf

Observation bf62eb2d-42ba-4630-a26f-49e9e30b7805 · outbound

This paper cites an unresolved cited work.

Symmetry, Unimodality, and Lefschetz Properties for Graded Modules Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:25.110270Z

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=2026-08-14T14:15:25.054961Z digest=sha256:dda34cf2a68ae6e913445c88789e17221214762baef1ba4865a82fec15aa67aa

Pith citing papers

No inbound Pith citation observations are available.