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Paper Citation Record · LEDGER

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2505.03551.

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

pith.paper-citation-record.v1
2505.03551 v5

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T16:31:39.434286Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T16:31:39.434286Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-05-22T16:31:47.111364Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact2
  • verified fuzzy7
  • unresolved6
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2fc133c7-8554-4c5c-baab-9e0c45563e83 · outbound

This paper cites an unresolved cited work.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:31:47.503666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:d6f6e11d0aee38469f7a4e4998980d3d4cdfa472cf4868b5c020bddc2d5b7f61

Observation aedbd132-07b3-462b-81ce-401229dadcd0 · outbound

This paper cites From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-05-22T16:31:47.114341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:4df549ba3b564407b24565a3fef9cf718d26bc3eff65f06d876257934a3dbc4f

Observation a5b86152-1215-48db-9bef-93fdd2a8ffcf · outbound

This paper cites an unresolved cited work.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:31:47.533343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:16ff134c7a67a59b61c100bae8dfe842c22a5b6ea5fa26b8fa05f4e384753d29

Observation f1538ef7-33be-429e-94a7-4e80e8cd27f4 · outbound

This paper cites It is clear that this result is materially very different from that found forK free (the implications of which will be discussed in a future version of this manuscript).

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime It is clear that this result is materially very different from that found forK free (the implications of which will be discussed in a future version of this manuscript)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:31:47.507816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:8096e75a6bd5a5cf01550ba3c9a31265a86110268e0f145128396b16b316fa6b

Observation 41b64765-0e19-4037-a0ce-7091796d80a8 · outbound

This paper cites Marsden, R.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Marsden, R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:31:47.520406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:8341e82459aba6d6da016e7b6615a4a1d966fb3469b941d433d3c86030384f7d

Observation 5f41c893-ffe1-4e0c-ba46-d87a5a9577a6 · outbound

This paper cites an unresolved cited work.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:31:47.496994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:0c066d78a32a5b101aa4b7bc92b97ff1c1e0deb9863967aa37d7aa648b6ce9b3

Observation e2e9597a-166d-4433-a63f-95ddf63bfa80 · outbound

This paper cites an unresolved cited work.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:31:47.500286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:bfd56a775a04b451a59e8b33e19125f4d1a930e8c6fa2f339b92914096690904

Observation a9b351de-d8a2-4cc6-810f-5eae6ffd6f08 · outbound

This paper cites Gao and Z.-T.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Gao and Z.-T

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:31:47.511274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:25321a1ec324978f63c6122d0d343649999c4f1a6266c814495f225e639a1eb3

Observation 8da9376a-2d08-4f50-a02d-65d2cfd416b2 · outbound

This paper cites Kowalski and J.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Kowalski and J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:31:47.529730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:184853b485c2681b5facede03f495f91263b6fdb1173b9074919184976fb533e

Observation a4b10713-dab8-4ae5-ac75-f3e8b226ba4f · outbound

This paper cites an unresolved cited work.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:31:47.526289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:52b4f88e121fa6c690d638e607c1dd4c5a1ad0cbf56fb4414805c3799680ad76

Observation 177f6339-17d7-4d1e-b98e-8a2dabccf889 · outbound

This paper cites Dirac,The Principles of Quantum Mechanics(Claren- don Press, 1981), ISBN 9780198520115.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Dirac,The Principles of Quantum Mechanics(Claren- don Press, 1981), ISBN 9780198520115

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:31:47.537738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:6dc818e160dace24f9fbf4083c3c73427f7bc816659ccb17a1d25a4758f6ac68

Observation 76ed1d42-ecdb-4214-ad32-a8fc3ad371bc · outbound

This paper cites Everitt, K.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Everitt, K

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:31:47.523371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:2df997aaa8f271f12b09e30e144cf733a39bcbb0d67d38bac96c4726634d05a8

Observation 74274be9-c613-4b49-814b-6144805c5993 · outbound

This paper cites Feng, F.F.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Feng, F.F

Reference 13

Resolution
malformed identifier
doi_truncated, observed 2026-05-22T16:31:46.766211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:938f8d674640cb3d514d5b8a8a4ed60665a4fd4907ae4ac7252b75acf1ea7294

Observation 90e169bd-1ac5-49f2-9896-2b2a21ec5e93 · outbound

This paper cites Kajantie, L.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Kajantie, L

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-22T16:31:47.121003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:568410599b78475b3029a22a58877b3ed6138e7a448cc40005816d1bc47c8138

Observation dbb30c5b-958a-4a1c-a242-efef42707ac1 · outbound

This paper cites Zhuang and U.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Zhuang and U

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T16:31:47.514771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:472109ad15a6c4d8ceee8acc1b88e77a82bc65ee78e42ac48c658e797fb9f97c

Observation 999c43fa-de2f-4f5d-90a4-15013f3e1bd4 · outbound

This paper cites an unresolved cited work.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-22T16:31:47.517333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:2820997cbc21ef47945574605b370820cc138fb88a05f2084d14fa33bddd9dc5

Pith citing papers

Observation aedbd132-07b3-462b-81ce-401229dadcd0 · inbound

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime cites this paper.

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-05-22T16:31:47.114341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T16:31:39.434286Z digest=sha256:4df549ba3b564407b24565a3fef9cf718d26bc3eff65f06d876257934a3dbc4f