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Paper Citation Record · LEDGER

Classical and Quantum MacWilliams Transforms as Spin Kinematics

As of 15 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2607.27173.

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

pith.paper-citation-record.v1
2607.27173 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T11:10:53.919922Z

measured 13 of 13 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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2042c146-0093-4ab2-9e82-9b26797aee5c · outbound

This paper cites an unresolved cited work.

Classical and Quantum MacWilliams Transforms as Spin Kinematics Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.858059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.858059Z digest=sha256:f97146ee7d7cafb00dd0c2b63573e47ff863da48638ec54ba8c1712ac9381cd4

Observation 0f7c5b9f-61d6-4d4c-9b9d-4e3b756bea07 · outbound

This paper cites an unresolved cited work.

Classical and Quantum MacWilliams Transforms as Spin Kinematics Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.862964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.862964Z digest=sha256:6ca1374c2d10208b7d42fedeb36404cf02d46cc51ae336db31895ff6b8b6bfa1

Observation f88a20f6-f60a-4f78-b249-af5fb373bdc0 · outbound

This paper cites Delsarte,An Algebraic Approach to the Association Schemes of Coding Theory, Vol.

Classical and Quantum MacWilliams Transforms as Spin Kinematics Delsarte,An Algebraic Approach to the Association Schemes of Coding Theory, Vol

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.867684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.867684Z digest=sha256:d22a163daa99782ff0c00db374eeec5a39fda66cbc4731616fea1f76930bf2be

Observation e60312fd-7cb3-43fd-abc2-7bc6acb4aa9f · outbound

This paper cites an unresolved cited work.

Classical and Quantum MacWilliams Transforms as Spin Kinematics Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.873314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.873314Z digest=sha256:4d8e98293d35339cf8ffaae30905e034b4d244bcf29e188b1a3fa4b9afa4fe9e

Observation e6b6f0a3-fcfc-45cb-9a3a-3066939f9e79 · outbound

This paper cites Rains, Quantum weight enumerators, IEEE Transac- tions on Information Theory44, 1388 (1998).

Classical and Quantum MacWilliams Transforms as Spin Kinematics Rains, Quantum weight enumerators, IEEE Transac- tions on Information Theory44, 1388 (1998)

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.878019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.878019Z digest=sha256:32181b7d55b72b7b8bef1d27736898b9fe5af9571e3d368d8f4781bcb47f635f

Observation 9f2b350b-7f09-4c4a-a519-7ce4f71b3cd5 · outbound

This paper cites Rains, Quantum shadow enumerators, IEEE Transac- tions on Information Theory45, 2361 (1999).

Classical and Quantum MacWilliams Transforms as Spin Kinematics Rains, Quantum shadow enumerators, IEEE Transac- tions on Information Theory45, 2361 (1999)

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.883085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.883085Z digest=sha256:c257e9bbac6f10c4c71285383fd83da87b9dd19b778da57b97ece897f37fc30b

Observation 42de130a-b05f-4764-abe9-7b6101b8a7dd · outbound

This paper cites Shor and R.

Classical and Quantum MacWilliams Transforms as Spin Kinematics Shor and R

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.887821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.887821Z digest=sha256:832d0b3b4230da823c78b5833523e9e74fea4945986cf71eb314b2f01b2dfec3

Observation 7a09efff-7de5-4b5e-9707-5d2cc16cfddb · outbound

This paper cites Rains, Polynomial invariants of quantum codes, IEEE Transactions on Information Theory46, 54 (2000).

Classical and Quantum MacWilliams Transforms as Spin Kinematics Rains, Polynomial invariants of quantum codes, IEEE Transactions on Information Theory46, 54 (2000)

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.893403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.893403Z digest=sha256:8ae219a5938b0e24272f06c45e9a721295f1ecba095ac0e5917eccdc21aeb55f

Observation a5a503de-9caf-4d9b-a2e7-26840cbe468d · outbound

This paper cites Lai and A.

Classical and Quantum MacWilliams Transforms as Spin Kinematics Lai and A

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.898105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.898105Z digest=sha256:312c2ae6d705ff8fd9af73d9c64ab0f721360ecc79ed9fcc5c28fb155f71b08c

Observation 620726ee-131c-4ed9-b67d-8c08893fe12d · outbound

This paper cites an unresolved cited work.

Classical and Quantum MacWilliams Transforms as Spin Kinematics Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.902808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.902808Z digest=sha256:fb62168d13984697bbd6dacbeb0b35ce6de9a17110317cddfb571334a1c6b085

Observation 2c6d7249-02a4-4339-9f3d-363126b39726 · outbound

This paper cites an unresolved cited work.

Classical and Quantum MacWilliams Transforms as Spin Kinematics Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.907560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.907560Z digest=sha256:aaeacc638983307737b90008cd60077ed83a930736e280010c3100f440203fbe

Observation 63a97daa-f464-412e-aeee-db313c62611e · outbound

This paper cites Cao and B.

Classical and Quantum MacWilliams Transforms as Spin Kinematics Cao and B

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.912319Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.912319Z digest=sha256:d49032df618d748ea803652cd00c90acb52b7c0a1e4f9a7fbe91fa2efd703bd1

Observation 38ba486e-a0fe-4021-a6eb-62bd9c210316 · outbound

This paper cites The mixed-dimensional quantum MacWilliams identity: bounds for codes and absolutely maximally entangled states in heterogeneous systems.

Classical and Quantum MacWilliams Transforms as Spin Kinematics The mixed-dimensional quantum MacWilliams identity: bounds for codes and absolutely maximally entangled states in heterogeneous systems

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:53.919922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:53.919922Z digest=sha256:8aa9ad6ab5c26765c168af533af02ca8a97393f7a6f94e35856825c0c71a5110

Pith citing papers

No inbound Pith citation observations are available.