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Paper Citation Record · LEDGER

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification

As of 18 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2501.18139.

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

pith.paper-citation-record.v1
2501.18139 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:37:32.550973Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-02T11:03:59.456890Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T11:06:52.458514Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2d9578a4-2c5f-4a75-8870-d9827ffb53f8 · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.836939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.481701Z digest=sha256:141facc7e9e8139a7efbc7ac74bb87a697b0a7dea230075e3cfbe66721682b2a

Observation 6858c602-db50-4177-a291-1c7729389b5b · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.823288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.487267Z digest=sha256:784d7446b6f62b0af56c3ae00b887ff2de772463f4a37fb20589bb452fd93e71

Observation 5770aaaf-a136-49be-be44-6b5c46a70598 · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.808749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.492384Z digest=sha256:f4b171a6ccbd0cf8a69c2961f7cb5bde6a58b7c3c748b581567fe73c697f2a70

Observation e0ecaaa0-b0fe-45e2-b5e1-6ddc7cd39b2c · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.794137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.497396Z digest=sha256:4cc92c9abe434cd326a12c799077823cf5bcc48e7b8d3eb3d453bd81c2472531

Observation fad1faef-aa4a-41b2-9820-bdf474e32fbc · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.779351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.502522Z digest=sha256:fa9b8ea11ee4230933c56fcdb3c918fdbc2444865b029a1119bbba7f8373e9a5

Observation 248ce69a-64a8-47b4-947a-0a2420880ad6 · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.764445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.507600Z digest=sha256:fd227edaa5c0e31c0111267cbd146f2d8cbcc0d99bd6075b4005d8f3f768dce4

Observation 2721f9cf-f0ef-405d-aa85-bc7ae8465dce · outbound

This paper cites A Proposed $E_8 \times E_8$ Kinematic Scaffolding for the Standard Model with Pre-Gravitation.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification A Proposed $E_8 \times E_8$ Kinematic Scaffolding for the Standard Model with Pre-Gravitation

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T00:37:32.513117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:37:32.513117Z digest=sha256:2a0a026a9277c7c300b14ae9a538b611b7065b75b29c151cfb49d7c7034c9586

Observation 32d58f74-717d-4e12-a230-3dd1a2014443 · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.748422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.519101Z digest=sha256:b86e9a503a0dc8e0520aaf71437ff64104a35b0d742258ad7d1c42cdf03f95ed

Observation 6bc9d1b2-038d-4153-960f-4dc300c568ed · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.728708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.524203Z digest=sha256:625f3481615194b85622284f96adfc378126386b9b4631c6deb8a654743bae3d

Observation a617aacd-abd1-48f6-9def-88e3d9133a8a · outbound

This paper cites A Lagrangian with $E_8\times E_8$ symmetry for the standard model and pre-gravitation I. -- The bosonic Lagrangian, and a theoretical derivation of the weak mixing angle.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification A Lagrangian with $E_8\times E_8$ symmetry for the standard model and pre-gravitation I. -- The bosonic Lagrangian, and a theoretical derivation of the weak mixing angle

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T00:37:32.529076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:37:32.529076Z digest=sha256:87cb1b54b4c126a16d0b6f196100ee7d3141c12291e128e920183926915e075e

Observation 8d1b4a17-392f-4c96-bbb0-4d024f38d5e2 · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.712283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.534195Z digest=sha256:89911e435270daaf04a15169e3a25c0fa71341007df9bf7d49eb74a999434811

Observation caa1209b-7324-4e98-837b-81669ba52ddf · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.695544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.538153Z digest=sha256:f8927b1ead754313d308c59b4c7f9b5e6b00c6b1e187bf0394b900ed3bd3fa94

Observation 5903adfa-af9b-4c1a-b85d-c8328673abef · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.677150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.542658Z digest=sha256:8cabd6d66c12d722d2d1eac81b52f2c339f979138f956374186b5db7c766a114

Observation ee9d545c-45ed-4f9c-acae-80431335816f · outbound

This paper cites The Jordan formulation of Quantum Mechanics: a review.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification The Jordan formulation of Quantum Mechanics: a review

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:37:32.598096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.546621Z digest=sha256:7265964478c946cd445af04142db1203b0cd4fa37ff53297eb7ded1af472d1e2

Observation 3866e186-3763-4d3f-ba31-44ab19b33a08 · outbound

This paper cites an unresolved cited work.

Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:37:32.653760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T00:37:32.550973Z digest=sha256:a191535070c9bd38b3cbf4488ce0e3f564d9e5941910e5287723ec9d4a677f6f

Pith citing papers

Observation a4d8eea9-5d1f-4ad1-ac00-ff16b6be985c · inbound

Spacetime Grand Unified Theory cites this paper.

Spacetime Grand Unified Theory Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:20:45.289150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-21T23:15:58.099679Z digest=sha256:d7b8f4618f4b681790dcdb3830335fc9b2f56f005d601a6382bb02e7da27513e

Observation 2c5de023-8a56-490e-8c6b-1b8231d2df8e · inbound

Fermion Mixing Matrices and the Exceptional Jordan Algebra cites this paper.

Fermion Mixing Matrices and the Exceptional Jordan Algebra Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:06:52.459940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-02T11:03:59.456890Z digest=sha256:0b1f754287c4f38426d181e4115f35e234beba53447c5879d0fa7551f187d5fe