Paper Citation Record · LEDGER

Full replica symmetry breaking in the Sherrington-Kirkpatrick model

As of 12 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2607.11756.

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

pith.paper-citation-record.v1
2607.11756 v3

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:54:41.941246Z

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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:21:57.681101Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T04:21:57.736684Z

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 2d810485-3dd7-4a4f-a7e9-1b2a3977529e · outbound

This paper cites Lebowitz, and David Ruelle.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model Lebowitz, and David Ruelle

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:40.453150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d5bf801-1d30-4e56-bedb-06de97316def · outbound

This paper cites On properties of Parisi measures.Probability Theory and Related Fields, 161:817–850, 2015.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model On properties of Parisi measures.Probability Theory and Related Fields, 161:817–850, 2015

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:40.492318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d829d2f9-d94e-4b77-9899-75f070f45ddf · outbound

This paper cites The Parisi formula has a unique minimizer.Communications in Mathe- matical Physics, 335:1429–1444, 2015.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model The Parisi formula has a unique minimizer.Communications in Mathe- matical Physics, 335:1429–1444, 2015

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:40.575313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 920d4307-933a-4919-ba24-d0bb7e081b05 · outbound

This paper cites The SK model is infinite step replica symmetry breaking at zero temperature.Communications on Pure and Applied Mathematics, 73:921–943, 2020.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model The SK model is infinite step replica symmetry breaking at zero temperature.Communications on Pure and Applied Mathematics, 73:921–943, 2020

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:40.668009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7db0a364-5ce0-4dc8-9e2a-028109177877 · outbound

This paper cites Generalized Ito Formulae and Space-Time Lebesgue-Stieltjes Integrals of Local Times.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model Generalized Ito Formulae and Space-Time Lebesgue-Stieltjes Integrals of Local Times

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:40.821322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ed64549-1e3c-4a4e-be9b-d51edac31374 · outbound

This paper cites A dynamic programming approach to the Parisi functional.Proceedings of the American Mathematical Society, 144:3135–3150, 2016.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model A dynamic programming approach to the Parisi functional.Proceedings of the American Mathematical Society, 144:3135–3150, 2016

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:40.982548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8bb4e84-4b94-4847-b14b-5bdcb4cb9e49 · outbound

This paper cites Some properties of the phase diagram for mixed p-spin glasses.Probability Theory and Related Fields, 167:615–672, 2017.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model Some properties of the phase diagram for mixed p-spin glasses.Probability Theory and Related Fields, 167:615–672, 2017

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:41.114198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6206696-5902-437a-904b-eca4fb32cab6 · outbound

This paper cites Infinite number of order parameters for spin-glasses.Physical Review Letters, 43(23):1754–1756, 1979.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model Infinite number of order parameters for spin-glasses.Physical Review Letters, 43(23):1754–1756, 1979

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:41.218061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53c9a403-44e3-441e-864f-55952873c87f · outbound

This paper cites A sequence of approximated solutions to the S–K model for spin glasses.Journal of Physics A: Mathematical and General, 13(4):L115–L121, 1980.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model A sequence of approximated solutions to the S–K model for spin glasses.Journal of Physics A: Mathematical and General, 13(4):L115–L121, 1980

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:41.373768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f997a21c-134c-49ca-bcc0-f52278fa9cf1 · outbound

This paper cites The Parisi formula.Annals of Mathematics, 163:221–263, 2006.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model The Parisi formula.Annals of Mathematics, 163:221–263, 2006

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:41.527606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6604934a-a818-48e0-a43a-4f46d43c2dd8 · outbound

This paper cites About the Almeida–Thouless transition line in the Sherrington–Kirkpatrick mean-field spin glass model.Europhysics Letters, 60(5):764–767, 2002.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model About the Almeida–Thouless transition line in the Sherrington–Kirkpatrick mean-field spin glass model.Europhysics Letters, 60(5):764–767, 2002

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:41.638184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 521376db-cde3-4c0e-8912-84eb7a8e564e · outbound

This paper cites On the Gardner Transition in the Ising Pure $p$-Spin Glass.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model On the Gardner Transition in the Ising Pure $p$-Spin Glass

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:41.830524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 701f61c5-a4ff-411e-a201-c80e44940f92 · outbound

This paper cites Existence of full replica symmetry breaking for the Sherrington–Kirkpatrick model at low temperature.

Full replica symmetry breaking in the Sherrington-Kirkpatrick model Existence of full replica symmetry breaking for the Sherrington–Kirkpatrick model at low temperature

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T06:54:41.941246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 61f735cf-c97e-4eb3-b84c-291659946d85 · inbound

FRSB in the SK spin glass: convergence to full-interval support at zero temperature cites this paper.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Full replica symmetry breaking in the Sherrington-Kirkpatrick model

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T16:26:38.193461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b23579a-9675-46ea-884b-e0010093b3d8 · inbound

On the Gardner Transition in the Ising Pure $p$-Spin Glass II cites this paper.

On the Gardner Transition in the Ising Pure $p$-Spin Glass II Full replica symmetry breaking in the Sherrington-Kirkpatrick model

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-10T04:21:57.742575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.