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Paper Citation Record · LEDGER

Lie point symmetries of the biharmonic heat equation on surfaces of revolution

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.00672.

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

pith.paper-citation-record.v1
2506.00672 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:07:47.305829Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8ebb3d45-9568-4c8f-9076-7642c3182cbe · outbound

This paper cites Abbena, S.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Abbena, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:07:54.840303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:44.953458Z digest=sha256:a97615e6836c012bf21cfe15f4c41b25323f656478af99b1d1086679c2e23122

Observation 082d7d94-2519-4076-b05f-6d32388c5621 · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:54.654533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.011650Z digest=sha256:6edea65a9cbf73c7a11f90734488cb6a5404ba67d8cc7439b87e89c2af3e51ed

Observation 79431677-6ae8-45b7-a8ff-70d7f583665b · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:54.466437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.082923Z digest=sha256:1d62df7bc226887e145a565b99864a27198644ea03f5667f8820aa5ed2c8e6c3

Observation d5de6f09-658c-4f6a-82aa-dfb9990be524 · outbound

This paper cites Azad and M.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Azad and M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:07:54.206896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.143860Z digest=sha256:df4f4ee8614e649df564b4a7f24e2547f220cafdb6781559bc145687c018e71a

Observation e2771042-d59b-42a6-94d0-98591b8acc0a · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:53.926849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.215074Z digest=sha256:46c1dfcb45a990540c263bb7216c465fa2cfeb4fae51494fb21bcc75cfb8ac86

Observation 7fa3c269-db76-45ae-904e-ac42dc4f2056 · outbound

This paper cites Bertalmio, G.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Bertalmio, G

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:07:53.643401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.284733Z digest=sha256:a4208beec37c0b6e89ed2715bbaed07150486876ba71875bd8daa389b1471291

Observation f26dd099-b3e9-404c-b64a-48847a397e67 · outbound

This paper cites Bluman and S.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Bluman and S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:07:53.435727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.358670Z digest=sha256:e6998e853890722449109a1115739fee6b2ea44be67fd198311032efe07846d8

Observation 69415ca5-96dc-4d3c-8999-8e2badae418f · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:53.162156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.430574Z digest=sha256:d60c457418e8205b5fe84b315eb4fb0079b10d6f296d5617e0b488e38899ff83

Observation 4c0852d3-1680-495d-a334-b3bb08ef3497 · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:52.819708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.526544Z digest=sha256:ccdc78c60f00f53128db4d2a463a69cc6eb60dc4ae12d3cd6cdfa530d8c80a4c

Observation 8224f358-9873-4806-895e-e267dacd56b2 · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:52.408701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.619564Z digest=sha256:e90558f36c165cbe3ec754dfd4ac2c4bd2a2d304e589d4bed583cca5d30c0203

Observation 5d06c2b7-5c61-492f-8705-03c39d69c28a · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:51.979496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.708221Z digest=sha256:0c74641d4e094d1326289d803b65acdf8eb0b1a257074549d87ae6a92bcb31c0

Observation 2e6014e5-ae36-4153-b743-0c1a0d534c05 · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:51.641899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.782949Z digest=sha256:7545670e5589c6fb0246ddade6dae9563808931177f5b7d710fd41687967762e

Observation 45820c9f-42a8-425b-b4cc-d27dc2cb2d5c · outbound

This paper cites Inoguchi et al.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Inoguchi et al

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:07:51.314408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.874573Z digest=sha256:99db78b2ba677ac54912f606362ce78c6fc0e6c02d2fc483ae1e867c42b3a374

Observation 320e0a1f-15db-4cd7-b703-967a65df5281 · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:51.026908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:45.934775Z digest=sha256:c99ed72ad35df87338d69bfddcd1ac87708815c376b0a2c408dae3114a417506

Observation 76309a17-e3fe-4d5b-ba13-4a360c187621 · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:50.709990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:46.023373Z digest=sha256:2d7986523bcde1dc6d2a33ddbfea58ee08ae911ed8e1f1b860d1dd7dc3b2c231

Observation de8d6864-1a79-4d0b-92d6-95d0e32b0a91 · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:50.436697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:46.128785Z digest=sha256:52c4a3bf1d5e4fab40ae7b9c85e7eb5c3a34ab5599390c58493440a3980d0eef

Observation 505a4cfb-d253-45ef-ab67-da421ca6e571 · outbound

This paper cites Mpungu and M.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Mpungu and M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:07:50.146224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:46.241137Z digest=sha256:4e6298f38f6779b854153a6d3f104ccd2409352f39648efb3a460728f4c84379

Observation 314a8064-d658-4483-95dd-eefe71e17bd4 · outbound

This paper cites Mpungu and A.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Mpungu and A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:07:49.812891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:46.324926Z digest=sha256:55963b6a287fef04a88ff9f535532ac92f7ded609da063c5c49f2523514d6a06

Observation 6ca40f65-33d9-4ecc-8421-d345de1acc0c · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:49.497561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:46.409251Z digest=sha256:961fc26dd0f0dd92aa0612e2c90c2b0c6675dfeec38b27fd6ec3c487fb242bcb

Observation a075ddc0-3923-4033-8e56-9ffbfa907063 · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:49.191462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:46.490876Z digest=sha256:aaa6fbe996bb59d2e3db0d47944467feded1747a454ed9c24213c5a9df23fc93

Observation aedecacd-57b1-4aa1-9573-ff805acc78cd · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:48.890751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:46.610241Z digest=sha256:7e36cc5070263ff528ee150adcceede0d60402acf8a269b19142d5c0d5058330

Observation 623ed00c-face-43d4-ae6c-ec764b36388e · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:48.577520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:46.731783Z digest=sha256:1d567ffb0f435ce0efaa755a07e47c3d31d5d9e428f65c7f0d09668c2e4cdd8f

Observation 1a1d4cb8-cef2-47f0-9867-1efa304504b0 · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:48.338328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:46.893103Z digest=sha256:3ed00e028263c818cc4a16bd7ec5b443e8acc273ae773730e885d19e1683f297

Observation 09769cb2-a411-4d8d-8b5b-b1b19e857d6d · outbound

This paper cites Timoshenko, S.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Timoshenko, S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:07:48.121081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:47.008869Z digest=sha256:60af0ce0bfa01f8a7afb0fb526b32759997f311bc3b8bf27da0dbcfaf02146da

Observation df37c6b0-333a-41cf-9ae1-ba5fc01b290b · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:47.853962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:47.170301Z digest=sha256:1d5fc43b7a5e8d2e2176a5666dea2f2e8d6556b77ad9052d0bb6b98ccb114053

Observation 1c11bbc6-280a-4b71-bc32-a95731207b9a · outbound

This paper cites an unresolved cited work.

Lie point symmetries of the biharmonic heat equation on surfaces of revolution Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:07:47.587796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:07:47.305829Z digest=sha256:96881ea6aa0ee7907026e470c45d00835ee94d516e2ee1bd37e86f95796f7937

Pith citing papers

No inbound Pith citation observations are available.