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Paper Citation Record · LEDGER

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:1908.02744.

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

pith.paper-citation-record.v1
1908.02744 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:52:23.585219Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:22:12.420634Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T13:22:12.484143Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy25
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6885aa09-34bc-4961-862f-f950d9b2ebe7 · outbound

This paper cites an unresolved cited work.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:23.956684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.474764Z digest=sha256:0e9e975b2ac9308911fa218fb5accfeb69bac7ab4e5f80815511727266dd2aa6

Observation 7c45e337-1234-4b02-b658-0acbd39788f3 · outbound

This paper cites Avramov, A.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Avramov, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.946262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.479457Z digest=sha256:7df5815063307e6c0a5b98568c5499a854775dd1c894a19a0514792c8beef345

Observation ffca570e-5e86-4a57-a22a-8698acb11d18 · outbound

This paper cites Biermann, A.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Biermann, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.935708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.483078Z digest=sha256:d0b38c922777153b3f0e47551541dc2eb8334fbb2a7c3a6144e779b51b1d778e

Observation 7b3e9c62-91a0-4443-a4fb-5f3fc3031616 · outbound

This paper cites Buchsbaum, D.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Buchsbaum, D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.924787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.486878Z digest=sha256:66b4f24fa44d300873a965f314b0a8842d1c19ffc83be6fde10d8b74197d2d61

Observation c9dfc263-78a7-4468-8d97-8ee2ff797654 · outbound

This paper cites Conca, Koszul algebras and their syzygies.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Conca, Koszul algebras and their syzygies

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.914133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.490551Z digest=sha256:c0296c24d610e3c1b552624c06d82ea47105faa5ae847dd8a8370b3edfd98ab8

Observation b6c7e326-cf07-421a-ba2b-fcda5f9d8615 · outbound

This paper cites Constantinescu, T.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Constantinescu, T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.902968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.494275Z digest=sha256:e7a60e99e2dab298befc6c78a3598eba1c9447226681432bcedacaefb99da5e7

Observation 9af674a8-db35-42a3-b094-6cb103d82dab · outbound

This paper cites an unresolved cited work.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:23.891576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.498131Z digest=sha256:a2f46f5d2d746eb20836d25e776778ebcb9689b339163efbc7d0c35b15eb5ce0

Observation 6e8ed11d-7143-4fc7-b255-51236a54b771 · outbound

This paper cites an unresolved cited work.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:23.881371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.501538Z digest=sha256:018d748e4e8664457bba7a3e289e86d0734b8b167812822bf6d98d3394c78db2

Observation 178f8963-1839-4b13-b687-b0b2efee476f · outbound

This paper cites Eisenbud, M.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Eisenbud, M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.871016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.505369Z digest=sha256:b5293dcfe0ee295995bb84eb1fe3615997537b827302e4a795e53842cc7d72e2

Observation 9ee8f63f-3e9d-4584-b79a-91820d7e64c7 · outbound

This paper cites an unresolved cited work.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:23.860948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.508992Z digest=sha256:a246b4b2c874c3a03e65317f1daf67f40b19e7a897faf47ff102063c561a9ab6

Observation 122b9245-4af4-4a6a-b3c3-f60a9ff87ffe · outbound

This paper cites Green and R.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Green and R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.850998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.512663Z digest=sha256:c6e8207edbc0176bc6ca896adb625c9cd82bde2f572c2083e1ee8a7336fee07d

Observation 548b59c2-0e2a-4fd4-b7ae-35ee0ab96e14 · outbound

This paper cites Green and R.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Green and R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.840537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.516176Z digest=sha256:d3e39dacdabce053ad7ad3774999c59e9a913c1b13f321bea1ee261e23bdfdab

Observation b87883cf-0571-4177-9716-489d4f498f68 · outbound

This paper cites Gulliksen, O.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Gulliksen, O

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.830142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.519831Z digest=sha256:7a0627e46735503bec0f70a2e4ea3efe5ba591041ec3bf8f17c83862a1c3ba8f

Observation 0de4ae8a-fb35-4409-8345-40033fe1ec91 · outbound

This paper cites an unresolved cited work.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:23.819454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.523310Z digest=sha256:919d7b6a1be23fa669e54e371f84cd647f3ad5e8cb56820d83b147138dca2728

Observation c139625b-4ab5-4bd7-97fd-49e5440c87ab · outbound

This paper cites Hashimoto, Determinantal ideals without minimal fr ee resolutions, Nagoya Math.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Hashimoto, Determinantal ideals without minimal fr ee resolutions, Nagoya Math

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.809452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.526736Z digest=sha256:b95e0aa816f2f26ba4747a8c6370e594aa5e8d845d6845ba172c1bfdbab9787c

Observation 8f0f40b3-22db-4fa9-93d1-a1f9d0ff4c71 · outbound

This paper cites Hashimoto and K.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Hashimoto and K

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.797773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.529969Z digest=sha256:231c19d38d97ed79b2104e4a22c3135366f65be50c90538649447f0f6bcad230

Observation 569ba52f-e2ed-458b-a1cf-6b8f67de3da0 · outbound

This paper cites Herzog, T.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Herzog, T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.785777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.533260Z digest=sha256:cc257552798b7d941c05bb944ca7a81198b9adab11692b53a1764cb34d65a6e3

Observation 7eea8c85-8a13-43ed-b1f4-e1686e9af9f8 · outbound

This paper cites an unresolved cited work.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Unresolved cited work

Reference 18

Resolution
verified exact
doi, observed 2026-08-14T14:52:23.618742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.536858Z digest=sha256:8e052f88ecb9e24bfb11db6986efac20218341043e371329a6b083323a24817a

Observation 46fff0f8-e5a3-4dc3-8345-77e758a70889 · outbound

This paper cites an unresolved cited work.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:23.775082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.540594Z digest=sha256:3ed77031d7757925e12193fe512e94ee9524cba6c25bb145c79514d6b45a9715

Observation 85c18247-ecd8-4399-86f3-5c15b4a8e4f8 · outbound

This paper cites Lascoux, Syzygies des vari´ et´ es determinantales,Adv.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Lascoux, Syzygies des vari´ et´ es determinantales,Adv

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.763873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.543950Z digest=sha256:52ff92bebbebf33b604ab7642714646e1c91f9364e0a1ee165463763125f5d13

Observation 9e2af43f-d16a-4b19-830f-f49c836ad5a9 · outbound

This paper cites Mastroeni, Koszul almost complete intersections.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Mastroeni, Koszul almost complete intersections

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.753167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.547660Z digest=sha256:3a8d8dd7117587f4baa8a03a882003d2930b02cec7921b072dc590a8eda5b385

Observation 50f05cb1-b188-4661-9b78-20748bf87ab6 · outbound

This paper cites Grayson, and M.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Grayson, and M

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.742219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.551009Z digest=sha256:14d936be8f1f7a50b64f040d5508385cb1f2aa0acb723ecc3cb4171516c42fb1

Observation 5d1883f1-211a-4d34-92db-32b31931ede8 · outbound

This paper cites Matsuda, S.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Matsuda, S

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.730932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.554544Z digest=sha256:dc2ee33cf2d7373750523c93025207bd28d2bc10a9b30450a245822c8e467e7e

Observation 419020ef-f750-4c61-80db-4a435afc4709 · outbound

This paper cites Ohsugi, T.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Ohsugi, T

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.720206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.557908Z digest=sha256:697c6c39615bb8d5f2fe98966d39fd3cb03e04b12b75e5c70df6871364c98249

Observation 16152ccd-5cb4-4af5-8985-40feb09bd800 · outbound

This paper cites Ohsugi, T.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Ohsugi, T

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.709600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.561128Z digest=sha256:a9b8d8ddbb7a8f90dae153ff032f1c536544c97cbc5477d4ed29802f2e4addcd

Observation 1d697559-acc8-4287-a033-9af092ebdf37 · outbound

This paper cites Ottaviani, R.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Ottaviani, R

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.699031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.564395Z digest=sha256:3d39a7250f156056b1c452f5a9fc80d971bbd69d03e2cd01cffc085fc4d5c1c5

Observation 0276108c-c81c-4c0c-a4d8-3fe1c720b835 · outbound

This paper cites Roberts, A minimal free complex associated to the min ors of a matrix.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Roberts, A minimal free complex associated to the min ors of a matrix

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.688387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.567862Z digest=sha256:97ce5d9ad8fcdbca4521467c81c538ab511871bf794b8e122a9f8bb0523df598

Observation 8ada5f6e-626e-4db4-be84-9b36c00a8ae6 · outbound

This paper cites Peeva, Graded syzygies.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Peeva, Graded syzygies

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.676498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.571088Z digest=sha256:ed56267d99aad82d73875b925adaae6a197dc925c783b026452b9b6108abf37a

Observation dc8d4a7a-6785-4029-ac06-32b01dfd5756 · outbound

This paper cites Pragacz, J.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Pragacz, J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.664746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.574741Z digest=sha256:c9732446c903cae00f8a5c4af7ba4dd4e06133708e0c81c4eeb4e84b3d859064

Observation a83c2b27-fe48-4e7b-a76b-fb69e13d3b7c · outbound

This paper cites Qureshi, Ideals generated by 2-minors, collections of cells and stack polyominoes, J.Algebra 357 (2012) 279–303.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Qureshi, Ideals generated by 2-minors, collections of cells and stack polyominoes, J.Algebra 357 (2012) 279–303

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.653951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.578325Z digest=sha256:74f15ed1dd80b1bbf7dfb367cad26548d7da5bd68367204e8c3090463ccbd2ea

Observation cb8cfa79-d40f-41af-b396-b5dd95b25949 · outbound

This paper cites Rubei, Resolutions of Segre embeddings of projectiv e spaces of any dimension, J.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Rubei, Resolutions of Segre embeddings of projectiv e spaces of any dimension, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.642202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.581768Z digest=sha256:b87682432379a9f1fafddba4846009ff06a02c2e6fc5bdeeb5a452d821bfcc06

Observation cade7551-ca92-481e-873a-f69ff4cd3663 · outbound

This paper cites Villarreal, Monomial algebras.

Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs Villarreal, Monomial algebras

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:23.630517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:52:23.585219Z digest=sha256:ce5e2a6d8c5beb8bbfd457436ebbcf988c40acd11b0c859382126b4a17aaae97

Pith citing papers

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

Edge rings of bipartite graphs with linear resolutions cites this paper.

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T13:22:12.420634Z digest=sha256:96cbc1c43e5a1e9ed8616f5ed9b56b3ac901f98360860868c5676a0423bebba6