Paper Citation Record · LEDGER

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties

As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2606.07922.

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

pith.paper-citation-record.v1
2606.07922 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

24 of 24 outbound references displayed

verified exact9
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4835b905-54a4-41bb-b0a8-6c5ac3d76496 · outbound

This paper cites Uniqueness of the Canonical Reciprocal Cost.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Uniqueness of the Canonical Reciprocal Cost

Reference 1

Resolution: verified exact; doi, observed 2026-06-27T20:11:13.917228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1718e060-13c2-4a0d-a7ec-43347fc9dd05 · outbound

This paper cites The coercive projection theorem for canonical reciprocal costs.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties The coercive projection theorem for canonical reciprocal costs

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-02T21:47:27.624768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6ca3aebd-f49a-44bd-989f-4d4b021fc7e6 · outbound

This paper cites Coherent Comparison as Information Cost: Axiomatic Foundations for Discrete Ledger Dynamics.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Coherent Comparison as Information Cost: Axiomatic Foundations for Discrete Ledger Dynamics

Reference 3

Resolution: verified exact; doi, observed 2026-06-27T20:11:13.913258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 37a1d9fb-73dc-4c2b-8903-5e68d23cc479 · outbound

This paper cites Acz\'el, Lectures on Functional Equations and Their Applications (Academic Press, New York, 1966).

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Acz\'el, Lectures on Functional Equations and Their Applications (Academic Press, New York, 1966)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb5f8d79-0515-4ad5-8e08-0d379c60a905 · outbound

This paper cites The d'Alembert Inevitability Theorem.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties The d'Alembert Inevitability Theorem

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-06-27T20:11:13.911335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4edacb37-99b3-4fa6-bc4b-1af9dbef0630 · outbound

This paper cites an unresolved cited work.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e52fde6-0c46-44b0-b9b3-25a031845417 · outbound

This paper cites an unresolved cited work.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Unresolved cited work

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dfbdd81-2e1f-4d5a-a4ce-3c6c62e55c06 · outbound

This paper cites Osterwalder and R.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Osterwalder and R

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f16cc3e-7e32-4ab9-9f8e-9f3e1b653f7a · outbound

This paper cites Osterwalder and R.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Osterwalder and R

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b80761ad-5d6a-440c-bec5-5d3cbefa5c4d · outbound

This paper cites Fr\"ohlich, R.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Fr\"ohlich, R

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82854915-70ca-4b0b-9711-c0dff8630cd3 · outbound

This paper cites Glimm and A.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Glimm and A

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6cee89e-6857-4762-ac15-7986ef29071e · outbound

This paper cites Reflection positivity and phase transitions in lattice spin models.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Reflection positivity and phase transitions in lattice spin models

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-02T21:37:25.694082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 162cad74-cd45-477b-a935-83c2859d4e1f · outbound

This paper cites Osterwalder and E.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Osterwalder and E

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 848e6b70-be4a-4bf7-981d-daa4da2e098f · outbound

This paper cites Simon, The Statistical Mechanics of Lattice Gases, Volume I (Princeton University Press, Princeton, NJ, 1993).

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Simon, The Statistical Mechanics of Lattice Gases, Volume I (Princeton University Press, Princeton, NJ, 1993)

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4d630d7-7526-40a9-9a4b-7b7eb118659a · outbound

This paper cites Georgii, Gibbs Measures and Phase Transitions, 2nd ed., De Gruyter Studies in Mathematics Vol.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Georgii, Gibbs Measures and Phase Transitions, 2nd ed., De Gruyter Studies in Mathematics Vol

Reference 15

Resolution: verified exact; doi, observed 2026-06-27T20:11:13.915253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5e8d3465-e196-476b-a367-667900f50185 · outbound

This paper cites Friedli and Y.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Friedli and Y

Reference 16

Resolution: verified exact; doi, observed 2026-06-27T20:11:13.908650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 614578c6-d35e-415b-92f4-dbfc5c732285 · outbound

This paper cites an unresolved cited work.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ced7c2a0-5310-4bb0-bd41-20c046de43a8 · outbound

This paper cites an unresolved cited work.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05d9d8ab-10c5-4649-b342-bd78130a7de2 · outbound

This paper cites Quantum states and generalized observables: a simple proof of Gleason's theorem.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Quantum states and generalized observables: a simple proof of Gleason's theorem

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-07-02T21:37:25.696515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1abb8251-41c6-429a-91b6-c700b90845a2 · outbound

This paper cites Probabilities from Entanglement, Born's Rule from Envariance.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Probabilities from Entanglement, Born's Rule from Envariance

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-07-02T21:37:25.691670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 31871861-1578-43ee-99dd-2128a2894d13 · outbound

This paper cites Wallace, The Emergent Multiverse: Quantum Theory according to the Everett Interpretation (Oxford University Press, Oxford, 2012).

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Wallace, The Emergent Multiverse: Quantum Theory according to the Everett Interpretation (Oxford University Press, Oxford, 2012)

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5904bef5-a1b4-4674-985e-7f5c8ea72f5d · outbound

This paper cites Reed and B.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Reed and B

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de55e132-e501-46c0-924d-c3f6c2ca8d4a · outbound

This paper cites an unresolved cited work.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 053b4eca-8a97-4d1d-87c2-b2cccfa5d33d · outbound

This paper cites Johansson, ``Arb: efficient arbitrary-precision midpoint-radius interval arithmetic,'' IEEE Trans.

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties Johansson, ``Arb: efficient arbitrary-precision midpoint-radius interval arithmetic,'' IEEE Trans

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T19:35:03.669599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.