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Paper Citation Record · LEDGER

Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment

As of 21 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2509.06055.

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

pith.paper-citation-record.v1
2509.06055 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T04:38:25.505548Z

measured 7 of 7 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:13:41.534335Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T21:13:46.964129Z

Reference resolution

6 of 6 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0cbaceba-0d38-4074-8851-20c0c72b67f8 · outbound

This paper cites William Lawvere.

Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment William Lawvere

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T04:38:25.213118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T04:38:25.213118Z digest=sha256:ad6eac22cb7d09f25108fccfff7bbb2d1e554535576f99ccced8d23cbb949c2b

Observation 266938b7-a40e-42e0-b173-3e332276b7f7 · outbound

This paper cites A lattice-theoretical fixpoint theorem and its applications.Pacific Journal of Mathematics, 5:285–309, 1955.

Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment A lattice-theoretical fixpoint theorem and its applications.Pacific Journal of Mathematics, 5:285–309, 1955

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T04:38:25.244733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T04:38:25.244733Z digest=sha256:0f5d47a789d68fe688af5990e16dc41b327f43bf26fc00dc5a005e04ec3d0642

Observation 12cb7137-9dbf-469d-8f1c-6e7496a473c8 · outbound

This paper cites an unresolved cited work.

Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment Unresolved cited work

Reference 3

Resolution
verified exact
doi, observed 2026-08-05T04:38:26.506912Z

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=2026-08-05T04:38:25.271429Z digest=sha256:a420d898acc40270ffa77731d582a52df71cd43b5284ab25acce8dd906542f63

Observation 7f67863d-2560-4ebb-a1d0-7e334feddef9 · outbound

This paper cites an unresolved cited work.

Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-05T04:38:26.248607Z

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=2026-08-05T04:38:25.312195Z digest=sha256:6f45ef76f524335626451fdced9f02984ceecea34aa20f186a02ec00aedc59ae

Observation 8372885d-3f42-489c-b55d-a8e003344365 · outbound

This paper cites On notations for ordinal numbers.Journal of Symbolic Logic, 3(4):150–155, 1938.

Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment On notations for ordinal numbers.Journal of Symbolic Logic, 3(4):150–155, 1938

Reference 5

Resolution
verified exact
doi, observed 2026-08-05T04:38:25.949505Z

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=2026-08-05T04:38:25.403505Z digest=sha256:4a5357e1711c3240b493bdc5be5fb865a8952a906c80275f56322921b3a82e0d

Observation cc47a1eb-d546-462a-b963-32a886530420 · outbound

This paper cites A generalization of Brouwer’s fixed point theorem.Duke Mathematical Journal, 8(3):457–459, 1941.

Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment A generalization of Brouwer’s fixed point theorem.Duke Mathematical Journal, 8(3):457–459, 1941

Reference 6

Resolution
verified exact
doi, observed 2026-08-05T04:38:25.714279Z

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=2026-08-05T04:38:25.505548Z digest=sha256:259fab5c47b68e8b6e5420c3f018eeeb8186f658953eb6820d2c6fbf4ea06e28

Pith citing papers

Observation 13d60c32-1002-461e-81f8-9dfe32f96dc2 · inbound

XML Prompting as Grammar-Constrained Interaction: Fixed-Point Semantics, Convergence Guarantees, and Human-AI Protocols cites this paper.

XML Prompting as Grammar-Constrained Interaction: Fixed-Point Semantics, Convergence Guarantees, and Human-AI Protocols Fixed-Point Theorems and the Ethics of Radical Transparency: A Logic-First Treatment

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:13:47.074607Z

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=2026-08-04T21:13:41.534335Z digest=sha256:358efd79b490813e01cfd73e2d315e38b7d31a8157687c32b49be31d51f61ab0