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Paper Citation Record · LEDGER

Homological shift ideals of weighted oriented graphs

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2608.02170.

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

pith.paper-citation-record.v1
2608.02170 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:17:08.091140Z

measured 21 of 21 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

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4646942a-c2cd-4f2e-8b64-43916bca3028 · outbound

This paper cites an unresolved cited work.

Homological shift ideals of weighted oriented graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:17:08.373896Z

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=2026-08-15T15:17:08.019491Z digest=sha256:2850eca07bafa857132d58bc1a5a6b8b627c8b1821c64d46e6febb04c18f3fce

Observation 8b84dc41-fc39-4a4a-b608-2a111fdff502 · outbound

This paper cites Multigraded shifts of matroidal ideals.Arch.

Homological shift ideals of weighted oriented graphs Multigraded shifts of matroidal ideals.Arch

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.365253Z

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=2026-08-15T15:17:08.024025Z digest=sha256:af8d238ecc5eefee0bde08b7baf02c921c643f7956363e75083e9ef39dd8a38f

Observation fefec9c5-c4af-4d16-b47f-004e246a367f · outbound

This paper cites A quasi-additive property of homological shift ideals.Bull.

Homological shift ideals of weighted oriented graphs A quasi-additive property of homological shift ideals.Bull

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.355803Z

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=2026-08-15T15:17:08.028130Z digest=sha256:d99c7391b0a674917711efb9815c9d07489a495265463e1cf15315696716b00d

Observation 2a4eaece-1459-4940-8de0-438ec0312ae4 · outbound

This paper cites Linear quotients and multigraded shifts of Borel ideals.Bull.

Homological shift ideals of weighted oriented graphs Linear quotients and multigraded shifts of Borel ideals.Bull

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.346249Z

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=2026-08-15T15:17:08.032007Z digest=sha256:97a4dc2e07da2c7c6531534bda31b786807709db3346d7b301d2982ec623026c

Observation 39c8b859-97f3-48b7-99ad-06976dfea267 · outbound

This paper cites Edge ideals with linear quotients and without homological linear quotients.Mediterr.

Homological shift ideals of weighted oriented graphs Edge ideals with linear quotients and without homological linear quotients.Mediterr

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.336832Z

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=2026-08-15T15:17:08.036028Z digest=sha256:d510239566efec5ce1c32e8b8f836250a91e5480b9b47680e6f3b1280b320f1b

Observation 347387a7-1e7e-4a22-aef6-f9c931b4762b · outbound

This paper cites Very well-covered graphs by Betti splittings.J.

Homological shift ideals of weighted oriented graphs Very well-covered graphs by Betti splittings.J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.326781Z

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=2026-08-15T15:17:08.040162Z digest=sha256:36132467600e37e6f873923710800195f3dd7f23469902038066fffa55b0535f

Observation 44bc89d1-6cdc-4878-8a97-b28a68b6838b · outbound

This paper cites Very well-covered graphs via the Rees algebra.Mediterr.

Homological shift ideals of weighted oriented graphs Very well-covered graphs via the Rees algebra.Mediterr

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.317104Z

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=2026-08-15T15:17:08.043634Z digest=sha256:4f36866b199cce1c9b3c4dc17b1e0db4ac1a890c02f44114a565dfff5e5c121b

Observation c0c2a272-ab5b-4207-9ae0-85df951bab4d · outbound

This paper cites Homological shifts of polymatroidal ideals.Bull.

Homological shift ideals of weighted oriented graphs Homological shifts of polymatroidal ideals.Bull

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.307684Z

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=2026-08-15T15:17:08.046768Z digest=sha256:bc6e3c3f6a7bfae1f4083a83addf737791285e65c6fdcef95cfdd7e489602657

Observation 8b784b21-5fe8-4c6c-ae38-c2c7a9782a8d · outbound

This paper cites Dirac’s theorem and multigraded syzygies.Mediterr.

Homological shift ideals of weighted oriented graphs Dirac’s theorem and multigraded syzygies.Mediterr

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.298056Z

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=2026-08-15T15:17:08.050883Z digest=sha256:5a059486a53eb6ff2b5a8f257e9343bb23bd454952b8c3367f1969f76615e69f

Observation 7d3e383b-e194-42a5-9a05-8b74957c3eab · outbound

This paper cites Componentwise linear symbolic powers of edge ideals and Minh’s conjecture.J.

Homological shift ideals of weighted oriented graphs Componentwise linear symbolic powers of edge ideals and Minh’s conjecture.J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.288052Z

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=2026-08-15T15:17:08.054445Z digest=sha256:9c3001f462199316e511e1d0ba0d647b1b6e038a6588c12215a4ac846e7cb4a3

Observation 1bc31329-f085-4c6e-b66d-083609e0aa9f · outbound

This paper cites Edge ideals and their asymptotic syzygies.J.

Homological shift ideals of weighted oriented graphs Edge ideals and their asymptotic syzygies.J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.278787Z

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=2026-08-15T15:17:08.057788Z digest=sha256:4fe4aab0b307d89e7c3f61b9274184de9bbe71028d7c9b99be36e887d37ea2e7

Observation 31f74948-1ff3-43bc-881b-3f663594aa16 · outbound

This paper cites The homological shift algebra of a monomial ideal.

Homological shift ideals of weighted oriented graphs The homological shift algebra of a monomial ideal

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T15:17:08.061543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:17:08.061543Z digest=sha256:72c128e67950ec688730c5e14a5da0481aa34208b0292b97d31d90b521bd2292

Observation 235e968c-b27c-4133-a3c9-64389fc08585 · outbound

This paper cites Herzog, Y.

Homological shift ideals of weighted oriented graphs Herzog, Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.270133Z

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=2026-08-15T15:17:08.065114Z digest=sha256:df7b44c0e643b0cbd9c8f7a1f6c2a5376e2f28cdee744bd9442656f380e87950

Observation 6f4f9c75-c5f5-4ebf-bdfd-55ba4baf834e · outbound

This paper cites Cohen-Macaulay polymatroidal ideals.European J.

Homological shift ideals of weighted oriented graphs Cohen-Macaulay polymatroidal ideals.European J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.261157Z

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=2026-08-15T15:17:08.069268Z digest=sha256:a66cc465268f1a9343239d1fddc169c02528cc6810e8a01c978366efd6bf84c3

Observation dce4b2d4-33ca-4032-996f-bb82f4f312f5 · outbound

This paper cites Homological shift ideals.Collect.

Homological shift ideals of weighted oriented graphs Homological shift ideals.Collect

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.250478Z

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=2026-08-15T15:17:08.072235Z digest=sha256:c33a69b94256fb8c309a7021bc0b14811677f37df4d0cdc97e8d2facb0718915

Observation 8572b528-7ca9-4b56-b64b-717ddcb41bd2 · outbound

This paper cites Resolutions by mapping cones.

Homological shift ideals of weighted oriented graphs Resolutions by mapping cones

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.240230Z

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=2026-08-15T15:17:08.075319Z digest=sha256:2bdf505144f5f034e2674f394f1638e3bb7fab6577d5c6742295e71ab4665280

Observation a4e5b5b8-b0c2-4596-b001-5777ffb7809a · outbound

This paper cites Ideals with linear quotients.J.

Homological shift ideals of weighted oriented graphs Ideals with linear quotients.J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.225099Z

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=2026-08-15T15:17:08.082102Z digest=sha256:bc7a6427babe6fd8784301dc10c2f02088887c3ec760dd44969356e0eceeede7

Observation 76471b0a-f5a6-455a-adb8-fab60f35078c · outbound

This paper cites Componentwise linearity of powers of edge ideals of weighted oriented graphs, arXiv:2509.14637, 2025.

Homological shift ideals of weighted oriented graphs Componentwise linearity of powers of edge ideals of weighted oriented graphs, arXiv:2509.14637, 2025

Reference 18

Resolution
verified exact
raw_fallback, observed 2026-08-15T15:17:08.184187Z

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=2026-08-15T15:17:08.085594Z digest=sha256:476c2af9ffdc8b9f83463c71dea8cec6375c8a05b42402b73ab7f6fec88661c0

Observation d508828a-8f27-44b3-bf14-6f9f17c8c506 · outbound

This paper cites Componentwise linearity of edge ideals of weighted oriented graphs.J.

Homological shift ideals of weighted oriented graphs Componentwise linearity of edge ideals of weighted oriented graphs.J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.214956Z

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=2026-08-15T15:17:08.088329Z digest=sha256:5f54ac394f95bd55be32217ea6766e3c1b14e3d6daee0c1d31323d4dd8ddcc72

Observation 2cef6e14-9913-4d68-b42d-d2391078e528 · outbound

This paper cites Springer-Verlag, New York, 2005.

Homological shift ideals of weighted oriented graphs Springer-Verlag, New York, 2005

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:17:08.204892Z

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=2026-08-15T15:17:08.091140Z digest=sha256:d1d90d75e81ac99aaca53d9668794b56b19b1385de00221d9cd9a7aa1712b473

Observation b5d66bb2-e6b2-40e7-83e9-36126a8ab6d4 · outbound

This paper cites an unresolved cited work.

Homological shift ideals of weighted oriented graphs Unresolved cited work

Reference 2002

Resolution
unresolved
no resolver link, observed 2026-08-15T15:17:08.078772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:17:08.078772Z digest=sha256:880d867e951e0e83e0e0e2115327ff77d424443ca7ebec5ada3a68fcac157301

Pith citing papers

No inbound Pith citation observations are available.