Pith. sign in

Paper Citation Record · LEDGER

Self-averaging of replica overlaps in the random field Edwards-Anderson model

As of 5 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.18752.

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

pith.paper-citation-record.v1
2606.18752 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T19:21:29.846750Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

32 of 32 outbound references displayed

  • verified exact13
  • verified fuzzy0
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c0a90570-b01e-43d3-9e7e-8ce7d186f99a · outbound

This paper cites On properties of Parisi measures.

Self-averaging of replica overlaps in the random field Edwards-Anderson model On properties of Parisi measures

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-04T02:49:24.109515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:3539b92f4c980f37905bd13aa360be932f9b55a335afccc59d42e84c5958dd05

Observation 7c83bcc1-94f4-4f43-9f05-b028aeac23eb · outbound

This paper cites On the Stability of the Quenched State in Mean Field Spin Glass Models.

Self-averaging of replica overlaps in the random field Edwards-Anderson model On the Stability of the Quenched State in Mean Field Spin Glass Models

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-07-04T02:49:24.117742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:4a61272b4d7fb911502ea55c88295e65cbbbf8e66496557db83816812fe6635f

Observation d9d6a2d8-652a-4af4-ac87-47ebaaa513b0 · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:74b5a9deb8ec52b575685df77372a62f8cfc2acb04187c59e59033286e0e8fdd

Observation bb57c38a-c6e3-4aeb-aa93-473a81b0ff7e · outbound

This paper cites Statistical Mechanics of Disordered Systems: A Mathematical Perspective , Cambridge Series in Statistical and Probabilistic Mathematics, Cambridge University Press, 2006.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Statistical Mechanics of Disordered Systems: A Mathematical Perspective , Cambridge Series in Statistical and Probabilistic Mathematics, Cambridge University Press, 2006

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:b65b49adda7e059802b2a5d72b4d1b6965f1c35ea81f270d066408e2cb431752

Observation 5e5d8109-0287-4491-9f4e-698fa63d5ae5 · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:34098a952e79c8ff2301b7ef25fd3a40b6df211a5a1f915397e3d0c3fc9336fd

Observation ad325f26-3549-4a8a-805a-7fa7060d60c8 · outbound

This paper cites Absence of replica symmetry breaking in the random field Ising model.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Absence of replica symmetry breaking in the random field Ising model

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-04T02:49:24.102133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:18b22a30471becde77aef63c0161d16b9670d7f90e8d9773790a71d0a0f05b22

Observation a9e139be-7638-47da-8aee-a62cf104e3ad · outbound

This paper cites On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field.

Self-averaging of replica overlaps in the random field Edwards-Anderson model On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-04T02:49:24.117761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:4e7b4977e6e94a9acdf09b2de60a691d7a54572ec6aa988186be1122838205d4

Observation 86684dc8-ab17-4161-8fae-7bcb59357960 · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:16186b856ee91a9e80532af5349168ef8f9c7bc9c01ec1f8c068abb0e3f5bf18

Observation 63933d30-2cee-445d-8ec4-5e38a472cdf2 · outbound

This paper cites Deift and B.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Deift and B

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-04T02:49:24.105405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:67df8ddca65edde843558355a3ef8cb53f1ffd40ed2063f64e97f847d9e97ffb

Observation 59b3d6ab-254d-478f-a819-98e17f934b42 · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:463f19413cc439188460147d05cf18aa511cd17bb14a58bbd3f62bae77e663ab

Observation 94a3f3eb-1020-44ad-a700-da32e29fd9c0 · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:02ae3a585ba74b63a3b074617ae84edfa6907cd7b774c4d37e87ddac8b1feed6

Observation d16933e7-5225-4d44-9b55-95452c4f239f · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:6d8acbf4b0e54bfc4f3c25a4bf5636cb59480f8de6aeb45348b846b3634e3d05

Observation 1efd7d5e-851b-408a-95c7-985164e56600 · outbound

This paper cites M., Kasteleyn P.

Self-averaging of replica overlaps in the random field Edwards-Anderson model M., Kasteleyn P

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:115e8da227ce8d2af8518c4e2c64890ae3d2fc3b9b4008cdc176d85c98582dc7

Observation 8a4a9b3d-fb71-4f12-8222-f534555fec7e · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:0f109426de9d12f403b4ef1c3ff9febc30944069ed566c857ed7ba50a7f07f34

Observation ebcf0db8-10e8-483b-9249-2c635852f10d · outbound

This paper cites : General properties of overlap probability distributions in disordered spin systems.

Self-averaging of replica overlaps in the random field Edwards-Anderson model : General properties of overlap probability distributions in disordered spin systems

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:2b5c5085939ef495acc28c64b1c35b2550445c1eaf7ab882ec0c266a68442125

Observation a559d2b1-6a06-4620-898d-d5eabfa9b420 · outbound

This paper cites Griffiths-type theorems for short-range spin glass models.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Griffiths-type theorems for short-range spin glass models

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-07-04T02:49:24.103678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:962f2703939b2dc5d57bd9d98351600622564c0bc67385c3f7e0cbc5968bea8a

Observation 36f31737-1ba9-49c7-808c-66e66feded72 · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-04T02:49:24.111651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:7bd3733dd05ea0a30d6f7445b66603dcbb24e36bf69fe70833af9c842ce98ba8

Observation 035d2bdb-03aa-4c65-a178-662795748661 · outbound

This paper cites Spin and link overlaps in 3-dimensional spin glasses.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Spin and link overlaps in 3-dimensional spin glasses

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-07-04T02:49:24.098013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:9f3193912c45938148fa9da2f118cf62d389725bd05db8db1141e78f3dbb9744

Observation 19a6b33f-b44e-439a-894d-7bc58e23978f · outbound

This paper cites New phenomena in the random field Ising model.

Self-averaging of replica overlaps in the random field Edwards-Anderson model New phenomena in the random field Ising model

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-07-04T02:49:24.112197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:fecebd0f0c8f9307b09e3513aeabd99ff97cf329492f64c9907ed1f995cd7b14

Observation 5e758e3b-261e-491c-8ea7-c03f9af79851 · outbound

This paper cites Non-Mean-Field Behavior of Realistic Spin Glasses.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Non-Mean-Field Behavior of Realistic Spin Glasses

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-07-04T02:49:24.123006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:a9c86759639732936247f284865cf6659907d9017c71594b983f2eb5746b6a00

Observation b4d7f1ae-8d3f-41af-86e4-fe862b641c12 · outbound

This paper cites The metastate approach to thermodynamic chaos.

Self-averaging of replica overlaps in the random field Edwards-Anderson model The metastate approach to thermodynamic chaos

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-07-04T02:49:24.120383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:48e92fd8b25c2e44d02f5fc2e12e5b9a66e5e9da4317f9efc1e90a4b85854712

Observation 98360d71-2b9a-47cd-b3e3-56b486f01540 · outbound

This paper cites The State(s) of Replica Symmetry Breaking: Mean Field Theories vs. Short-Ranged Spin Glasses.

Self-averaging of replica overlaps in the random field Edwards-Anderson model The State(s) of Replica Symmetry Breaking: Mean Field Theories vs. Short-Ranged Spin Glasses

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-07-04T02:49:24.114622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:a36789902ee263e3d7a3cfd3ebe9b1c12549820f78b90d080dc097b176c4a271

Observation 443c39e8-33f2-4b05-a4f7-ddbd14880d6d · outbound

This paper cites Statistical Physics of Spin Glasses and Information.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Statistical Physics of Spin Glasses and Information

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:c5af1ef92c4e2d4961aa8f94a3d06dee872ad8e134958f15f7558da9fb680b02

Observation b0c67082-33b9-47d3-9ab0-ab3a8bf110cc · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:e7b9f5f621b52e33e2b6bbda53c25c26276f8f33484e59d7af4f89282a67e860

Observation 63569c09-a7fb-4245-8748-eb101ea39ba6 · outbound

This paper cites Infinite Number of Order Parameters for Spin-Glasses, Phys.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Infinite Number of Order Parameters for Spin-Glasses, Phys

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:69bed3fb5ed60937eb0ab44651ca4dec081f7e02cb517bf7b69328e2d98369cf

Observation 8bc9c2e2-d853-4b4a-a73c-b713eed0c662 · outbound

This paper cites The Parisi formula for mixed $p$-spin models.

Self-averaging of replica overlaps in the random field Edwards-Anderson model The Parisi formula for mixed $p$-spin models

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-07-04T02:49:24.094707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:01fee05682fb217ca5aa610c2ff669afb3ccddf14e8ee6c3023c0feb7e7bf06f

Observation fa5a476e-ead8-4388-9cd9-802931d4e037 · outbound

This paper cites an unresolved cited work.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:dbd1a1b030e79e0df649c3bcc92d997263ea312f11dcaef2a631d8172faa982a

Observation 07a62a06-ed2f-41d3-957d-d97d9816a5a5 · outbound

This paper cites The statistical mechanics of lattice gases, Vol.

Self-averaging of replica overlaps in the random field Edwards-Anderson model The statistical mechanics of lattice gases, Vol

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:194e0510133cf3427786750b1f2d8c4dcba63dc63f9909b86e712b215e3f0d2b

Observation 4fe839a2-ff58-4089-a507-279ec22497c6 · outbound

This paper cites Spin Glasses.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Spin Glasses

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:c97edf0817127622589620723ebca92bdccd7c1c41be9be2ec66f92d1a3813f4

Observation fc9e8a64-a9ec-4844-84cb-1dc6c292df87 · outbound

This paper cites The Parisi formula, Ann.

Self-averaging of replica overlaps in the random field Edwards-Anderson model The Parisi formula, Ann

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:597974e23a58a5667787a12f41daca34ac86e51697d5ea8380d2d04213b21592

Observation 0ceab892-94e0-4b77-b516-3f52035d1978 · outbound

This paper cites Mean Field Models for Spin Glasses , Vol.

Self-averaging of replica overlaps in the random field Edwards-Anderson model Mean Field Models for Spin Glasses , Vol

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:950e2995db5ad9dd59ade5bd88ca0f7d5e53c5f23487547cb0895fb0d5806088

Observation 3523cd9d-da13-4732-964b-d6ce6127d77e · outbound

This paper cites On the upper critical dimensions of random spin systems, J.

Self-averaging of replica overlaps in the random field Edwards-Anderson model On the upper critical dimensions of random spin systems, J

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-26T19:21:29.846750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T19:21:29.846750Z digest=sha256:b7939a944605382a2cbc29c6fa62e28f09b17b2b288f822f9b7e2509cf028468

Pith citing papers

No inbound Pith citation observations are available.