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Paper Citation Record · LEDGER

Noncommutative vector field calculi

As of 20 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.07243.

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

pith.paper-citation-record.v1
2607.07243 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T16:53:08.805889Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

12 of 12 outbound references displayed

  • verified exact2
  • verified fuzzy2
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation abcca982-01f6-4504-b735-6d66e97b81b6 · outbound

This paper cites an unresolved cited work.

Noncommutative vector field calculi Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-07-09T16:56:21.926004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:fc89e739bf796403cce0a6a60cf186ed3b673574c91d41a035cba8ce1be7d834

Observation cbb56547-3525-4dc4-935b-59fc2c261755 · outbound

This paper cites an unresolved cited work.

Noncommutative vector field calculi Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-09T16:56:21.920916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:cbd088f47d5917e8a86352df8fca4319325e1859b4bdcc911a9ec8c1eeeae6ef

Observation 436c6b9b-20d4-4f0a-aeea-2da0b4f1f0dc · outbound

This paper cites an unresolved cited work.

Noncommutative vector field calculi Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-09T16:56:21.934251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:5d7cec7cd0dd2cde9dfbe2b9c9791ab6fe21e01936d0c637e2a3d4efbdd50570

Observation e6048efd-4c30-41d2-b7b6-ea78360e89fd · outbound

This paper cites Quantum Gauge Transformations and Braided Structure on Quantum Principal Bundles.

Noncommutative vector field calculi Quantum Gauge Transformations and Braided Structure on Quantum Principal Bundles

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-07-09T16:56:21.660261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:cbe8e802fc805d0531a70c10da056f504130d4613a9bab29ff71d584bb439bda

Observation f074bc27-7c14-4357-9713-a56b4880ba3f · outbound

This paper cites an unresolved cited work.

Noncommutative vector field calculi Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-09T16:56:21.931980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:9d313abf8e83b462da6d8d8579dd7d2fcff7fab61b253f89a756d6efff39a9f2

Observation 06e0d5c2-fc93-4aae-a06c-9aedb608538f · outbound

This paper cites an unresolved cited work.

Noncommutative vector field calculi Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-09T16:56:21.930326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:92c3d54017d3e391e070e72e982cf6a29cf6dad90788ce53fb2a2d3f53afbc98

Observation db5beda1-ec06-4f1a-bbf8-afeb8a5eca54 · outbound

This paper cites Indiana Univ.

Noncommutative vector field calculi Indiana Univ

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T16:56:21.924373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:4a1015175334a66bad03629e3829dcfd29e2891c759abff26d5f475bc5337d24

Observation 57ddee8d-fa20-45b1-822b-2bcedf22c05a · outbound

This paper cites an unresolved cited work.

Noncommutative vector field calculi Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-09T16:56:21.928450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:8774b1b16234f7337a0de5da2baa6d42e61c5453257027daa2bbd52cbed48bc5

Observation 14b2bdec-a600-4320-b60e-4b9fbebfc23d · outbound

This paper cites an unresolved cited work.

Noncommutative vector field calculi Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-09T16:56:21.936361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:ef30fe3264c14e40f4ff627a27730547460800ce49afcedc81282b7c188cfd4a

Observation a7a2ebe6-5d16-4cbd-9f26-beb8be951b7b · outbound

This paper cites Advances in Math- ematics322(2017) 892-939.

Noncommutative vector field calculi Advances in Math- ematics322(2017) 892-939

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T16:56:21.922621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:ad778931c376140a97b64eb8078a2ea853b84efe6616258f7e2c348369cdd13e

Observation 8a9f06bb-1fa6-4c47-9c16-a28a758f1b19 · outbound

This paper cites an unresolved cited work.

Noncommutative vector field calculi Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-09T16:56:21.926134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:ba39f28799eccdd6eeb0a399ccafd6daa537dcb64c2073101dda6072ed6ac68e

Observation ab0d9ce7-a936-454b-8950-4741e2d8f4ce · outbound

This paper cites Braided Commutative Geometry and Drinfel'd Twist Deformations.

Noncommutative vector field calculi Braided Commutative Geometry and Drinfel'd Twist Deformations

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-07-09T16:56:21.663349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-09T16:53:08.805889Z digest=sha256:ab753abcb333c6e49b9d9f1337d7dee34bd88e1bc4d6d9ea2ae1226e2d1206f4

Pith citing papers

No inbound Pith citation observations are available.