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Paper Citation Record · LEDGER

The edge ideal of a graph and its splitting graphs

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.03769.

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

pith.paper-citation-record.v1
1908.03769 v3

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:26:54.707338Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 89aaf297-cca8-40a9-920a-f1d15b87b7c0 · outbound

This paper cites Eliahou, M.

The edge ideal of a graph and its splitting graphs Eliahou, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.933447Z

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=2026-08-14T14:26:54.651460Z digest=sha256:3af4491263596d337a1a599ef14fbbffabc89cda38fe3b1610b9a46bfc43e08c

Observation 78a39420-4093-421a-91db-d562425db979 · outbound

This paper cites an unresolved cited work.

The edge ideal of a graph and its splitting graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:26:54.919590Z

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=2026-08-14T14:26:54.656151Z digest=sha256:ada818f5cce511bc223e522942bc5ab4c12ce25af3ccaa240bb837b22ccd44d2

Observation 956251aa-f115-4c05-a575-147a8efacbad · outbound

This paper cites Herzog, A generalization of the Taylor complex construction, Communications in Algebra 35.5 (2007), 1747–1756.

The edge ideal of a graph and its splitting graphs Herzog, A generalization of the Taylor complex construction, Communications in Algebra 35.5 (2007), 1747–1756

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.906063Z

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=2026-08-14T14:26:54.660311Z digest=sha256:069e08293389978c8e5fba0fb5d45c69793724ab61d554685f6d7b5d170a1378

Observation 2693da96-46e2-429e-99ff-1db1e8cc49f6 · outbound

This paper cites Herzog, T.

The edge ideal of a graph and its splitting graphs Herzog, T

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.893062Z

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=2026-08-14T14:26:54.664599Z digest=sha256:c7fce1f77b10fedfefd1b346cc533d1abfa6c79bfb10bedcdcdd4387e311859b

Observation 9159214c-5009-4515-8e38-0e516bd1ba26 · outbound

This paper cites Jacques, Betti numbers of graph ideals, Thesis (2004).

The edge ideal of a graph and its splitting graphs Jacques, Betti numbers of graph ideals, Thesis (2004)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.879504Z

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=2026-08-14T14:26:54.668884Z digest=sha256:23f092cd9f1935300b6447cde34c10e9c499eed6c4c7607fca696fee7c998ee9

Observation 5dab3d8d-9a3a-4dc3-b3bf-4bf90fab5a27 · outbound

This paper cites Kalai, Algebraic shifting, In: T.

The edge ideal of a graph and its splitting graphs Kalai, Algebraic shifting, In: T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.865965Z

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=2026-08-14T14:26:54.673586Z digest=sha256:4d93274e9bdc0f5bddb84974911fe6ce6ff02c58a911d7f84b904a4ee56a200e

Observation f57e57c9-db52-4fe5-aab8-01e26f089cf8 · outbound

This paper cites Intersections of Leray complexes and regularity of monomial ideals.

The edge ideal of a graph and its splitting graphs Intersections of Leray complexes and regularity of monomial ideals

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:26:54.747855Z

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=2026-08-14T14:26:54.678455Z digest=sha256:00cf15ac61e6ca596944fd627b3b0c3e4d3692c50d0f019d1e5ec546a7e741b5

Observation a1dff4e4-7a6e-4c8c-8f92-62da17f1f566 · outbound

This paper cites Katzman, Characteristic-independence of Betti numbers o f graph ideals, J.

The edge ideal of a graph and its splitting graphs Katzman, Characteristic-independence of Betti numbers o f graph ideals, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.852579Z

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=2026-08-14T14:26:54.683462Z digest=sha256:579229dfc8fecce7d94e5d3c692b832c34daf15d0e7930f61bf093f25f6df19c

Observation 1de81450-a4d9-4fc4-bb73-90adb6675192 · outbound

This paper cites Khosh-Ahang, S.

The edge ideal of a graph and its splitting graphs Khosh-Ahang, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.837984Z

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=2026-08-14T14:26:54.687436Z digest=sha256:534919b92380a3e74a515c40f91b674bc82fc27f7dedefb8db64e1a7b3c4a2d1

Observation cc0c4539-9b47-4676-a8b7-74890a48a16f · outbound

This paper cites Kummini, Regularity, depth and arithmetic rank of bipartite ed ge ideals, Journal of Alge- braic Combinatorics 30, no.

The edge ideal of a graph and its splitting graphs Kummini, Regularity, depth and arithmetic rank of bipartite ed ge ideals, Journal of Alge- braic Combinatorics 30, no

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.821277Z

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=2026-08-14T14:26:54.691581Z digest=sha256:8255656d6a3326c598d67155f23f22a142f7270019514f151bf6d3451a9a32de

Observation 2a0456ee-5a8c-44b9-afcd-e34cccaa4c41 · outbound

This paper cites Mahmoudi, A.

The edge ideal of a graph and its splitting graphs Mahmoudi, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.807105Z

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=2026-08-14T14:26:54.695468Z digest=sha256:547d82adbc79011b847b2c879edc5be3b1c0d133cda8b1f570a0270679db29b2

Observation 7451f7ed-d567-4fe3-b07b-e37e191db50a · outbound

This paper cites Morey, R.

The edge ideal of a graph and its splitting graphs Morey, R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.792317Z

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=2026-08-14T14:26:54.699418Z digest=sha256:e68384f9b6be9745a0e88ce40d79feed7d9836e1b19d8ef223004a2617ddd37a

Observation 6e83a02f-5f4f-4859-ac74-4eca49864bd1 · outbound

This paper cites Van Tuyl, Sequentially Cohen-Macaulay bipartite graphs: ver tex decomposability and regularity, Arch.

The edge ideal of a graph and its splitting graphs Van Tuyl, Sequentially Cohen-Macaulay bipartite graphs: ver tex decomposability and regularity, Arch

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.777371Z

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=2026-08-14T14:26:54.703443Z digest=sha256:ab8ad0fd0097fa884196b1ea5a0cd8d83525dc733caebf3b298ccf083d49a0af

Observation f8905fa3-f879-4a85-85c0-6b13dd48c49f · outbound

This paper cites Woodroofe, Matchings, coverings, and Castelnuovo-Mumf ord regularity, Journal of Com- mutative Algebra 6, no.

The edge ideal of a graph and its splitting graphs Woodroofe, Matchings, coverings, and Castelnuovo-Mumf ord regularity, Journal of Com- mutative Algebra 6, no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:26:54.762821Z

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=2026-08-14T14:26:54.707338Z digest=sha256:19a867554f0a22e277b54957b57486181a39e63e2237241dfa15c7e10b47cf41

Pith citing papers

No inbound Pith citation observations are available.