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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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:c65c61ed04c8f97a1b65e0e5ca30d8445a7d3c0439c7a749818bda80703a5050

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:ae46ae0273e666c799274a4b2e298619303a9826e2f41bcb870746748b3bcfce

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T04:38:25.271429Z digest=sha256:f01e7387486017bb37b0488055364e1f3a7870a8f46c7e0bd32b1cbd43e7765f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T04:38:25.312195Z digest=sha256:39b9ba1d25cf31e0831bb60015078d213ead41ecb4845f16f2ecd73b8cd40e92

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T04:38:25.403505Z digest=sha256:46d5ec0bfdaffac94d2f377fad530746dc2819f1eef45c1322edb88e0808d023

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T04:38:25.505548Z digest=sha256:fbfda7787a693d2583b953d6ca6d69c78f623a17f8d5162c9edc4e260b86ae4e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-04T21:13:41.534335Z digest=sha256:97c7acc439db9c78e64bfde5db9c817c0cff2e57d96cd652a986f5f291595819