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Paper Citation Record · LEDGER

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.26413.

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

pith.paper-citation-record.v1
2607.26413 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:34:53.107682Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 63eff4bd-9e12-4964-acc5-31f756cce60f · outbound

This paper cites an unresolved cited work.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:51.767771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:51.767771Z digest=sha256:186966a073024f05517d7204943c99591707b00853f95819a89ba64a46c4c98b

Observation 95b68da9-9b7d-448d-bca9-d383cd0a9618 · outbound

This paper cites Conway and Simon Kochen.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound Conway and Simon Kochen

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:51.860669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:51.860669Z digest=sha256:c949b938dc3a05389b119591683b1903f4acc9acecd1d2e982ceeda33e9f09d9

Observation 31102348-bada-4237-9328-f91919e864dc · outbound

This paper cites an unresolved cited work.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:52.031272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:52.031272Z digest=sha256:ef69544abacaeea08988ce9787fbc6ec4fc7d1010835d38b466011315d3dd570

Observation 3b2a4cb6-35fb-4442-8eb4-26dad5288ac1 · outbound

This paper cites Z3: An efficient SMT solver.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound Z3: An efficient SMT solver

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:52.177200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:52.177200Z digest=sha256:dbe478f5faeb24d1baee95eaf12d9e2ad8c4a45ed3f4c75e27ff50f450f4a3cd

Observation bde1e077-b8aa-483b-a388-b50b2daa2cf7 · outbound

This paper cites The Lean 4 theorem prover and programming language.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound The Lean 4 theorem prover and programming language

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:52.389484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:52.389484Z digest=sha256:b5fd4f55ce5777865500cfc836af61deffebf2e7e92a2642ae83ac5a5c1979e4

Observation 2d8a76a4-9a9a-431c-a432-d8cb382c0101 · outbound

This paper cites InProceedings of the AAAI Conference on Artificial Intelligence, 2021.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound InProceedings of the AAAI Conference on Artificial Intelligence, 2021

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:52.513117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:52.513117Z digest=sha256:0cf2d54484a751b6fd5926d53b78c3614db10d59c66a2ad59d66ed735e1fd732

Observation 82397f62-10bc-4f2f-9547-d2a4b5c1fd0b · outbound

This paper cites A Lean 4 formalization of the Kochen–Specker paradox.https://github.com/ guptbot/free_will_lean, 2025.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound A Lean 4 formalization of the Kochen–Specker paradox.https://github.com/ guptbot/free_will_lean, 2025

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:52.658621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:52.658621Z digest=sha256:f809d3dd307341eade697adf7e21ad759d05259100a35e87c5eff6b05f108dcb

Observation 8f42bd70-2d88-4322-8895-d63357cfc5ff · outbound

This paper cites Co-Certificate learning with SAT modulo symmetries.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound Co-Certificate learning with SAT modulo symmetries

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:52.823558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:52.823558Z digest=sha256:22ecf8ee115657b5fcddb59f6d469ea0c0cb00c3b6b8a7c5c6add00db438b127

Observation b4004e54-6413-4002-bb89-7b9edbfe83c3 · outbound

This paper cites an unresolved cited work.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:52.917007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:52.917007Z digest=sha256:8cb6f854cedce625242216d4f5c84bd0586c7bcf2ef8b90f1a859c897b407a3f

Observation 8b9080e5-ca9f-47e1-822e-befb9289fdae · outbound

This paper cites Toward Satisfiability Modulo Realizability.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound Toward Satisfiability Modulo Realizability

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:52.960063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:52.960063Z digest=sha256:a0eff9e2785f6b8c7329cf8690c823028c271223475a88caea8e5cf836159871

Observation 15b19521-202c-47c2-ae83-bb459d938ec1 · outbound

This paper cites Efficient verified (UN)SAT certificate checking.Journal of Automated Reasoning, volume 64, pages 513–532, 2020.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound Efficient verified (UN)SAT certificate checking.Journal of Automated Reasoning, volume 64, pages 513–532, 2020

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:52.993598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:52.993598Z digest=sha256:21534b9a1df615514b4028940e3b85ff1171ea0a99f1d01053469a4ef1ddcb38

Observation 74cfb753-4411-4b95-a028-d863c13d8882 · outbound

This paper cites A SAT Solver and Computer Algebra Attack on the Minimum Kochen-Specker Problem.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound A SAT Solver and Computer Algebra Attack on the Minimum Kochen-Specker Problem

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:53.018615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:53.018615Z digest=sha256:5449b75433e0bac531ce3bdeeacc7e7043a3764c7f5232feb4fa57b84025e311

Observation 2f62487e-ddf9-4376-985e-86cc39677da1 · outbound

This paper cites PBLean: Pseudo-Boolean proof certificates for Lean 4.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound PBLean: Pseudo-Boolean proof certificates for Lean 4

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:53.053753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:53.053753Z digest=sha256:b6dce1e036a576f1e80776264e3887cf99f7bac2e5a2bbac268837c48ef42707

Observation 0d4f8312-e897-4c37-8bfa-790171484198 · outbound

This paper cites A Kochen–Specker system has at least 22 vectors.New Gen- eration Computing, 34:3–23, 2016.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound A Kochen–Specker system has at least 22 vectors.New Gen- eration Computing, 34:3–23, 2016

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:53.085418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:53.085418Z digest=sha256:5b2c762bef2622a8bd587e27a7d0400d84096a8a3f3ac52930ec349cf6738c5c

Observation 2a7888ae-c64e-4431-94aa-3fc25309f67f · outbound

This paper cites an unresolved cited work.

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T16:34:53.107682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:34:53.107682Z digest=sha256:926de3e8f6a14a5537f8e5a8ec385234a7e22aec546aaf31e09f2e0dcc011c52

Pith citing papers

No inbound Pith citation observations are available.