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Paper Citation Record · LEDGER

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs

As of 13 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2411.14238.

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

pith.paper-citation-record.v1
2411.14238 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:39:09.791551Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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 fuzzy7
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6a28eec5-d15c-4aa8-99de-a1281e452c17 · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:10.096926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.706708Z digest=sha256:d40f26ff4fd6e8050805409a8e6c7614589e9f1b468a47b21a19898cf72c1014

Observation 9eb6542e-e42a-415d-ad16-5cc8062ab35c · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:10.085295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.711535Z digest=sha256:1992d44e6b3c8d0a1ec03437817ddc19fd6105e5651c5d282f51f77b8bf1edff

Observation 32049c07-1ab9-4df7-801f-35fdde47211f · outbound

This paper cites Aho and John E.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Aho and John E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:10.074227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.715860Z digest=sha256:7af9ff7d380bd6105ef53efc3a1a9ea63d86adb0a39dae90dc9cfd7f7044e4fd

Observation 130ac34c-a316-4846-be7b-7214c0190b86 · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:10.060792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.719805Z digest=sha256:a991ff967d89dd52fd3c8e2f6c1268f6cce009d766e9c1937d793b131d184c72

Observation 8a4ee498-8995-490f-9983-bbc106ba2bfb · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:10.048696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.724257Z digest=sha256:d5c4d4ee416aa7a79c224dc7aa41137d15e1ffecd8b67116eb20dab01ec62f23

Observation c1f6c625-4583-4df2-b0ec-a2da9a9c7d23 · outbound

This paper cites Cvetkovi´ c, Michael Doob, and Horst Sachs,Spectra of graphs: theory and application, Academic press (1979).

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Cvetkovi´ c, Michael Doob, and Horst Sachs,Spectra of graphs: theory and application, Academic press (1979)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:10.035820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.729703Z digest=sha256:006bbc619cc6fdf8dca1f043a7da1f40f044b81c271ed80f4849aff208c87328

Observation 9fe93d09-b1bd-42a7-a56a-fe62c196bee1 · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:10.022396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.734376Z digest=sha256:a6f7c8bda2d7a7b1dec363e5fd6605d71f2eb83d64d20ca5e8fcb6429b89d553

Observation c2894cc2-928a-4c12-a6f9-273ecce5421f · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:10.009113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.738691Z digest=sha256:315d319959022b193eb6fd2462c5426a4f920b3b326e5232916192671855bf78

Observation a091f85b-09c0-4cea-af9f-f1d2dc64e788 · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:09.994911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.742741Z digest=sha256:8e735c99a112766bc24000f43d1d5ffac8b6cb6a285f2a89b66e89bb036c2206

Observation 97404b91-bd5d-42f6-9e33-d7b9e3abdf96 · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:09.982412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.747282Z digest=sha256:f65d60057ba27bb9081fa75aed4ede70c58c5b24ac543112bc4857395ecd2dbb

Observation 6ac1c37e-1747-442f-bb96-2023776f5947 · outbound

This paper cites 42 Bapat et al./ American Journal of Combinatorics 3 (2024) 35–43.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs 42 Bapat et al./ American Journal of Combinatorics 3 (2024) 35–43

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:09.969486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.751785Z digest=sha256:70500b75b173f389cbc9249bfdad3fdace1c9e5660b89c2569e5984bf297051b

Observation fa18f3b2-a937-4473-a33d-87079dbfac8d · outbound

This paper cites Enumeration of copermanental graphs.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Enumeration of copermanental graphs

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-12T15:39:09.834259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.756274Z digest=sha256:85fa46622bf26afea36ffe736be75991df09f4d25eb9e01581c5b160f56e5c4c

Observation 48307b36-8b98-4f70-8539-68e1f72b2530 · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:09.957055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.760834Z digest=sha256:4c38c489a3e6294e73f5d439a0daeef2ebb1ef538130a6b2f179cd49de9a7784

Observation 67ea1358-8e19-4d79-91d8-0f3f10be10b7 · outbound

This paper cites Rebman, and William Watkins, Permanental polynomials of graphs, Linear Algebra and Its Applications 38 (1981) 273–288.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Rebman, and William Watkins, Permanental polynomials of graphs, Linear Algebra and Its Applications 38 (1981) 273–288

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:09.945591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.764774Z digest=sha256:1dc175f02e8c9defbd0c0bfb234c4ce5035ad33cc0b67d666beddfba134217d9

Observation 49731c13-8003-48f6-8bbf-735e9f903d1c · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:09.932607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.768048Z digest=sha256:0982d17e1ed322f369079c898c09e5f616fd9a211a241705d4acd12928b9af14

Observation 8f797ab1-9c8f-4c8b-87c3-702e0214bc3a · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:09.919455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.772225Z digest=sha256:96fcd9bf9b475b645fdaa3561a079f3c1fd212895e3905b7d6a3d2b4e47f567a

Observation 96b20583-8cbd-417e-ba64-2c0ced7565f1 · outbound

This paper cites Van Dam and Willem H.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Van Dam and Willem H

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:09.904702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.775811Z digest=sha256:e38d4e7855eae5caebe0047bd7a0af5e02d32603a78e48814ddb6a3b80e73301

Observation 44489c02-aae4-416c-8436-6740a46cb654 · outbound

This paper cites Valiant, The complexity of computing the permanent , Theoretical computer science 8 (1979) 189–201.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Valiant, The complexity of computing the permanent , Theoretical computer science 8 (1979) 189–201

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:09.888414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.779718Z digest=sha256:8ef1572481a2adb0cad4ef1ce58b19d37c2e1d1865db723e0e31be96416a4b15

Observation 05c888bf-ab15-447c-a188-e7b6bf76b28b · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:09.873880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.783580Z digest=sha256:5ff6afc383bd633fe4ca2af309cefb00ed0213426338311b43d34c1bced67f45

Observation 8f5b2ddc-23de-4f00-8d3b-aef07a1764c8 · outbound

This paper cites an unresolved cited work.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:39:09.860068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.787334Z digest=sha256:4d95c10d917de99bf3373d38139c90a4ee17b37f4d2f200da3437f094b30a131

Observation 882947fb-6a96-45d4-ab25-f4647cff02ea · outbound

This paper cites Contact Information Ravindra B.

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs Contact Information Ravindra B

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:39:09.846913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:39:09.791551Z digest=sha256:9acb33dce33478da957f8adfc2b9f2d09d7a714cce0f38cca9b2ab76a4ed4482

Pith citing papers

No inbound Pith citation observations are available.