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Paper Citation Record · LEDGER

The crossmetric tensor and the geometrical meaning of the imaginary numbers

As of 14 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2608.05113.

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

pith.paper-citation-record.v1
2608.05113 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T05:09:05.690534Z

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

4 of 4 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation db093029-e186-4ba5-aa87-82e66c6de9fd · outbound

This paper cites an unresolved cited work.

The crossmetric tensor and the geometrical meaning of the imaginary numbers Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T05:09:06.385877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T05:09:05.461991Z digest=sha256:eee3d05044adab989541d0ceafc23c5a08d747563f0fd6d1705ccfb980b54f3b

Observation 490534d8-d17e-4a4e-8c5a-47799d9ca35b · outbound

This paper cites The crystallographic quaternions and their product law.

The crossmetric tensor and the geometrical meaning of the imaginary numbers The crystallographic quaternions and their product law

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-06T05:09:05.920424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T05:09:05.505546Z digest=sha256:faed28986909ef8548652fbb5c1eb909673110e9c8f3dcee7419d10905110d87

Observation de3cbf65-0292-43c3-8c75-f7293e6934ed · outbound

This paper cites an unresolved cited work.

The crossmetric tensor and the geometrical meaning of the imaginary numbers Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T05:09:06.242657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T05:09:05.605858Z digest=sha256:204b1f082b58dd57130747a9526e2602f3928fa133dc64247284a5f3c4a43c16

Observation bbf14e8b-a454-4146-933b-88f4d75dffeb · outbound

This paper cites an unresolved cited work.

The crossmetric tensor and the geometrical meaning of the imaginary numbers Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T05:09:06.071746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T05:09:05.690534Z digest=sha256:3c0b6ed4bdf38b29977789ce274b523c4984e5ea2c63f530816a5677764ce887

Pith citing papers

No inbound Pith citation observations are available.