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Paper Citation Record · LEDGER

The Octonions

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:math/0105155.

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

pith.paper-citation-record.v1
math/0105155 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:44:01.645616Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T11:38:05.479648Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 7a8886e9-e288-4ee3-978e-dfd50407bd04 · inbound

Optimal measures for p-frame energies on spheres cites this paper.

Optimal measures for p-frame energies on spheres The Octonions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.645616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.645616Z digest=sha256:a93a3cfd1fe0c9cc2e58c2187620972f205b92c2d616bfe760dcda4789aa427d

Observation c482b034-3e32-4499-b677-2455c1a7f54d · inbound

Exceptional Periodicity and Magic Star Algebras. I : Foundations cites this paper.

Exceptional Periodicity and Magic Star Algebras. I : Foundations The Octonions

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T06:06:03.872769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T06:06:03.872769Z digest=sha256:ccfdebe8fe916cc3b2cb33797cd6b4eca47ccde095294900b6877b5096fb4aba

Observation a4f1b53f-546e-486c-9151-fb160b7e08da · inbound

Octonions in Particle Physics through Structures of Generalised Proper Time cites this paper.

Octonions in Particle Physics through Structures of Generalised Proper Time The Octonions

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T05:54:21.440489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:54:21.440489Z digest=sha256:b4ffdb54a451490eb68cd104dd6ed4936befa7c1803d681d74e9ccbadd174ca1

Observation 9e72d27a-3070-404d-86c2-af0ac9864f73 · inbound

The Unified Standard Model cites this paper.

The Unified Standard Model The Octonions

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-14T05:29:49.050418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:29:49.050418Z digest=sha256:126c46d11acbf95d0916e151572066c36c5b597160e4864da5702750afe71a75

Observation 32ad421e-709a-4430-b153-acf1fd0482d1 · inbound

Massless Representations in Conformal Space and Their de Sitter Restrictions cites this paper.

Massless Representations in Conformal Space and Their de Sitter Restrictions The Octonions

Reference 86

Resolution
verified exact
local_arxiv, observed 2026-05-16T11:07:47.023671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-16T11:07:44.437137Z digest=sha256:986588c9a916aaec13cbca3112783ef3dff0117144f03cb024350fac8297bf6b

Observation c8e2009b-8995-41ef-a78e-9079ad0d376d · inbound

Fermion Mass Hierarchies and the Exceptional Jordan Algebra cites this paper.

Fermion Mass Hierarchies and the Exceptional Jordan Algebra The Octonions

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-06-30T00:14:04.131462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T00:10:49.665974Z digest=sha256:96d8b604fa6b1e16c7f3c6c1172bd36a0ee6e108c6c3a7b372baef0e733b7f16

Observation 0d7cfa31-0f76-46f5-ad17-ece25c2ad1e4 · inbound

The Residual $288$ of the $E_8\times\omega E_8$ Program as Adjoint-Lineage Scaffolding Labels: an Ontology, and the Status of the Bifermionic Lagrangian cites this paper.

The Residual $288$ of the $E_8\times\omega E_8$ Program as Adjoint-Lineage Scaffolding Labels: an Ontology, and the Status of the Bifermionic Lagrangian The Octonions

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-07-03T11:38:05.480918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-27T09:25:28.803166Z digest=sha256:4a0d2411a4e2ccec5202bedf843bc9c56216f17954c58c26de2128b4151804b7

Observation 3cf2510c-c98e-4837-9b71-46697ccc032b · inbound

Leptonic CP Conservation and the Quark CP Phase from Octonionic Flavor Structure cites this paper.

Leptonic CP Conservation and the Quark CP Phase from Octonionic Flavor Structure The Octonions

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-01T17:05:51.013951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-29T04:13:26.337943Z digest=sha256:599081d5bff935a10f7917cad40a492c41cba70da9a3d5609980378dd942e19b

Observation 89b48625-bace-4ba6-8a8c-1bd02168af69 · inbound

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

Fermion Mixing Matrices and the Exceptional Jordan Algebra The Octonions

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-07-02T11:06:52.448313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-02T11:03:59.456890Z digest=sha256:30892a3f3a9f1352a782c464f037aa8b766c433b4353b64a42e761b52236804b

Observation 1946d6b6-efc5-488a-a97d-0ef048f8b49f · inbound

Left-right symmetry breaking in $E_6^L\times E_6^R$ occurs only in spacetime -- with possible implications for strong $CP$ cites this paper.

Left-right symmetry breaking in $E_6^L\times E_6^R$ occurs only in spacetime -- with possible implications for strong $CP$ The Octonions

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-11T21:28:28.465607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T21:28:28.465607Z digest=sha256:fdb43f0c11988f9ba4cf71a9cdb150005ff8903afed9ec38372f8fa3458efff2

Observation 8bd3f28f-e15d-4f83-a432-a8ec61210670 · inbound

The Dirac equation in (split-)octonions: origins, variants, and modern context cites this paper.

The Dirac equation in (split-)octonions: origins, variants, and modern context The Octonions

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-14T17:29:20.545185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T17:29:20.545185Z digest=sha256:85ef6220bddb26ea0b38f3322d9f6240aaff5d8918150fc8f8a679d2aece6497

Observation a41bdc56-f56c-4cba-85b7-3bbbad449c96 · inbound

The Dirac equation in (split-)octonions: origins, variants, and modern context cites this paper.

The Dirac equation in (split-)octonions: origins, variants, and modern context The Octonions

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T10:37:27.821515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T10:37:27.821515Z digest=sha256:2a9770f2fe377b401a68282fbab70b4ca956a1125d92324ac4b6d4adee510021

Observation fa36f256-736c-40aa-b7bc-172ab83324e0 · inbound

Jordan Pair Quantum Theory and the Standard Model cites this paper.

Jordan Pair Quantum Theory and the Standard Model The Octonions

Reference 48

Resolution
unresolved
no resolver link, observed 2026-07-14T08:55:06.250860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T08:55:06.250860Z digest=sha256:bb274fd9afd59be60b950c212d185c41a1f2fd800d8a0b3fd63b49833dc071df