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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.706708Z digest=sha256:ebcc7557f17563b8fe7877f4f72df9ca3a3d90a9babd5dbdf489d94ab216e33a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.711535Z digest=sha256:136d7350de9ebe169db69f2718d435054e2253b7b7c36ea56ff80fbd5d333b61

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.715860Z digest=sha256:941379d61902c8e8ca122dfdf15aa417149f835db5f15b59b5b1e770925f7013

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.719805Z digest=sha256:9d5bf4a292d479f693de7f992de90ca1bed96db7b7ba81ac3b3a36dbdbfe7c9b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.724257Z digest=sha256:72b4511497d3637bb95bdbe96f59696f17c1766e210962e44aa08b1ee94011ad

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.729703Z digest=sha256:2a4f81e7823c603b8581879cc04f18d5debfb2e55f55942ac60cbec6f0a1f11e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.734376Z digest=sha256:70c4bcf2483fa32fbb3d0bf95aa1c06089b534a26dbd3a9fc308f8754b3ecf5b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.738691Z digest=sha256:5a144a3de139f65029d00a4c37fe6ee9fc50135a73ee145d2725547bf89410d3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.742741Z digest=sha256:61f2c3e722f783c140b4672c5083114c3f71f00b6189daa403ec3fb4bd7d0e38

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.747282Z digest=sha256:815d4e64739b7ad48aaa5961498ed4bc89d5f29872489f41aa06593406cc7b35

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.751785Z digest=sha256:1e4a4f8c72bc156128f202c1a514871e6545d27d9171347a41c28b023dab8843

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.756274Z digest=sha256:68c1eb3d4be233e126d156d71966e2559dc1f733cb9963c867096bf9d7c34fbe

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.760834Z digest=sha256:db30f1bd293986de38dcc904ec6022c521709ddf8856dc3d0fa759c347509e3f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.764774Z digest=sha256:c8ce8afa27d73efe5257048f587ce00c2663934b977e092eed83f63b685e466b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.768048Z digest=sha256:6f27ba387a6ad798027dc0fd3e73e64038ffd7a80aa45b1964123b11502bd0ad

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.772225Z digest=sha256:e9760fab19eaa50ef7eb4be9729678c34bb29d73eaf45c1f0e88da73c5242187

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.775811Z digest=sha256:ed3aae5be0fe045a6762a6735366efa5309d1e2dc6860ed2a0bfaf812dc67e32

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.779718Z digest=sha256:317bec5bde71de02da4efd354de23873175d15460a4df2e05359c0c9f88728c6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.783580Z digest=sha256:4ce6b1321010e972df0ca22ded053f78c0024976c11215a175618156d4ab1ca3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.787334Z digest=sha256:b5e3dd672552ea83815b5b5bef2884c204e9cc3a4846ef8dd8def3794b13de03

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:39:09.791551Z digest=sha256:637303fb8693a19607163912841100845dec360800f8e9901477287e9faa3821

Pith citing papers

No inbound Pith citation observations are available.