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Paper Citation Record · LEDGER

Edge rings of bipartite graphs with linear resolutions

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.05678.

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

pith.paper-citation-record.v1
1908.05678 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:22:12.457426Z

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 fuzzy10
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c85f7d2-a0ef-4957-a6fd-93209c85d71a · outbound

This paper cites Biermann, A.

Edge rings of bipartite graphs with linear resolutions Biermann, A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.705399Z

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=2026-08-14T13:22:12.413239Z digest=sha256:e24248834349273ed9d21a6203112c6e939985763baa5b8a9ef3e0885c31de7a

Observation 9047283f-2e2e-4fd1-af21-f464ea1322d6 · outbound

This paper cites Bruns and J.

Edge rings of bipartite graphs with linear resolutions Bruns and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.697260Z

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=2026-08-14T13:22:12.416555Z digest=sha256:0ed6a30d14cb246bddabf44b95a799899154ba94d654e696758af706adbba093

Observation dc6ed7b5-4885-4fcf-9990-01becc1eed2f · outbound

This paper cites Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs.

Edge rings of bipartite graphs with linear resolutions Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:22:12.489901Z

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=2026-08-14T13:22:12.420634Z digest=sha256:cdddd4bd199b30ce2d2e285344af88f350a2e4641148240da036ebb952ac040b

Observation cd12fb47-5e09-4857-9bb5-810e62ae2a2f · outbound

This paper cites an unresolved cited work.

Edge rings of bipartite graphs with linear resolutions Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:22:12.689242Z

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=2026-08-14T13:22:12.424192Z digest=sha256:7dc25bae207010021c60d70a16e2e94c16d01cfd79afa6a027dfbc1c2f3854cf

Observation 159df4b2-ddd6-438c-8f61-23ecaf0f86eb · outbound

This paper cites Herzog, T.

Edge rings of bipartite graphs with linear resolutions Herzog, T

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.595982Z

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=2026-08-14T13:22:12.427198Z digest=sha256:d03f5798da83fff7f16bc01bc9c4b963c2b63c02abcb5ab14e646ed836dd13ba

Observation 9f9d609b-ff11-41ad-8d26-e83d47657125 · outbound

This paper cites Algebraic Combinatorics on Convex Polytopes,.

Edge rings of bipartite graphs with linear resolutions Algebraic Combinatorics on Convex Polytopes,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.586965Z

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=2026-08-14T13:22:12.430327Z digest=sha256:ff22ba20c764435ae68aa95b2f2102f5df9a3f0ffd35053739a12d7a5ecad320

Observation 9fc6292e-6461-4ff7-ac26-0d92b952878c · outbound

This paper cites an unresolved cited work.

Edge rings of bipartite graphs with linear resolutions Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:22:12.577822Z

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=2026-08-14T13:22:12.434349Z digest=sha256:f3255a898fe1e6dd5d264fa1d840683f7dde7b9094c7a81299b19501f62ac15c

Observation 7e063832-3f8f-4a23-bc3b-13b2260b0309 · outbound

This paper cites Hofscheier, L.

Edge rings of bipartite graphs with linear resolutions Hofscheier, L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.567965Z

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=2026-08-14T13:22:12.437171Z digest=sha256:6b268135f2d172d0984edb9868b58d9d8369ce218ff59fa27bcdbeb106f094bd

Observation a184a9d2-ed5b-4903-98f3-ae6d200a9faa · outbound

This paper cites K´ alm´ an and A.

Edge rings of bipartite graphs with linear resolutions K´ alm´ an and A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.558898Z

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=2026-08-14T13:22:12.440139Z digest=sha256:1cc135e8c9b9c0ff469cc4fd6249bd0566a694dd9ac0aeb4e83e92a06b743e31

Observation d3debfae-c4f1-44f3-8dd0-b8de4d2dbc5e · outbound

This paper cites Ohsugi and T.

Edge rings of bipartite graphs with linear resolutions Ohsugi and T

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.549485Z

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=2026-08-14T13:22:12.443093Z digest=sha256:435ffebbe92709f42dc145019fda23529f546d9cc2cf655fdd2fd46eac2cd8b2

Observation 578c6919-8298-43a1-b1c7-73328bdd3e1c · outbound

This paper cites Ohsugi and T.

Edge rings of bipartite graphs with linear resolutions Ohsugi and T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.540122Z

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=2026-08-14T13:22:12.446152Z digest=sha256:e904ff42d2a37fb9d3268b66aa5eb7cb14e2174d8c13961d44c0964c740b84dd

Observation 53ccff60-da37-42bf-80cc-db6dfc0e56e2 · outbound

This paper cites Ohsugi and T.

Edge rings of bipartite graphs with linear resolutions Ohsugi and T

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.530323Z

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=2026-08-14T13:22:12.449028Z digest=sha256:88d8820f88a71e4c39503e6eccc77c87ca5adbd511fa5a512cbc0c50343b2a73

Observation 7d934c95-5c21-47ab-a903-01ccaf9acd42 · outbound

This paper cites an unresolved cited work.

Edge rings of bipartite graphs with linear resolutions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:22:12.520633Z

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=2026-08-14T13:22:12.451494Z digest=sha256:9712d1461ed904b99d91f624ce5f165f4b09d69212c246d87de0304aa4242afd

Observation 2ff92ca2-70f3-4325-84c7-5fbd9e0a5865 · outbound

This paper cites Gr¨ obner bases and convex polytopes.

Edge rings of bipartite graphs with linear resolutions Gr¨ obner bases and convex polytopes

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:12.509827Z

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=2026-08-14T13:22:12.454518Z digest=sha256:fdda2311a9dc0d71a5a52004014b3e18d77b64bb2077e364a034a24a0ed0d457

Observation 6ec8fd5f-0323-4d19-8e1d-4fcabd562ff6 · outbound

This paper cites an unresolved cited work.

Edge rings of bipartite graphs with linear resolutions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:22:12.500722Z

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=2026-08-14T13:22:12.457426Z digest=sha256:e558cb11faf4000f486293634b6445ade2c02a412033894576871d85e60afd4a

Pith citing papers

No inbound Pith citation observations are available.