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Paper Citation Record · LEDGER

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass

As of 16 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2608.02373.

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

pith.paper-citation-record.v1
2608.02373 v1

Coverage vector

measured 51 of 51 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T08:32:14.660408Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

51 of 51 outbound references displayed

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  • malformed identifier0
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External citation measurements

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Outbound references

Observation 5c953a98-2f46-4e3f-828f-912e70a87719 · outbound

This paper cites The overlap between the MMO estimator and the planted configuration provides a quantitative estima- tion of the accuracy of the estimator.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass The overlap between the MMO estimator and the planted configuration provides a quantitative estima- tion of the accuracy of the estimator

Reference 1

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Observation f586326f-1afe-42d4-962a-874c465ad6b2 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 2

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Observation 7ccad3b0-afbf-4ba5-8e69-ec067aa27f1d · outbound

This paper cites not better than prior.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass not better than prior

Reference 3

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Observation 78713b2b-c25d-4571-be65-2eaeee8111b0 · outbound

This paper cites not better than prior.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass not better than prior

Reference 4

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source=pdf_text observed=2026-08-04T08:32:10.259033Z digest=sha256:7ed7dea6350d01ddcac33833d4ede713179bc704f979ab034bc6abc47d5eb76f

Observation 7abe2429-8f90-4dfb-85c8-3ef1603e2ccc · outbound

This paper cites not better than the prior.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass not better than the prior

Reference 5

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Observation 6ca551f3-6244-47cb-8bba-60dc6ad5457b · outbound

This paper cites We identify a critical thresholdβ rsb(κ): forβ < β rsb, 8 FIG.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass We identify a critical thresholdβ rsb(κ): forβ < β rsb, 8 FIG

Reference 6

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Observation 45e02e2b-c67a-45a1-b99c-a53c86f9c8f6 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 7

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Observation f2ee8b8c-4c72-479c-bd43-65b8d4c574a2 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-04T08:32:10.446087Z digest=sha256:cef6931b5ba7dca4310cb8e7f38f610c1e64da44b45561049180f239154bc9aa

Observation b9d34aad-1217-4913-b201-ce819ddd2eb0 · outbound

This paper cites Goldt, F.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Goldt, F

Reference 9

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source=pdf_text observed=2026-08-04T08:32:10.497712Z digest=sha256:97eb7a784b4f871b768acb379bc1fdd923a6052284883d1662340042a781b2c5

Observation 3f805674-5699-45fe-851a-fe31675f66b6 · outbound

This paper cites Altarelli, A.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Altarelli, A

Reference 10

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Observation acd58876-10aa-43bf-a276-05f4ec6b4efb · outbound

This paper cites Braunstein, L.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Braunstein, L

Reference 11

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Observation fb2f602b-e09b-4dba-be63-4573510536f6 · outbound

This paper cites Parisi.Spin Glass Theory, pages 317–329.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Parisi.Spin Glass Theory, pages 317–329

Reference 12

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Observation 21574280-66ff-4b0a-8bda-41d0c0764397 · outbound

This paper cites Nishimori.Statistical Physics of Spin Glasses and Information Processing: an Introduction.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Nishimori.Statistical Physics of Spin Glasses and Information Processing: an Introduction

Reference 13

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Observation 4bf2cd65-d9a1-413e-b31d-2df26c2fd82e · outbound

This paper cites Decelle, F.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Decelle, F

Reference 14

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Observation bd3c08fa-16c3-47b6-ba11-42ff10bab5c7 · outbound

This paper cites Lesieur, F.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Lesieur, F

Reference 15

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Observation ac97e107-8473-4eed-a221-f3234770b76c · outbound

This paper cites Coja-Oghlan, F.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Coja-Oghlan, F

Reference 16

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Observation 1f97899b-53fd-4ea9-8c8e-d59d19d3ede0 · outbound

This paper cites Lelarge and L.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Lelarge and L

Reference 17

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Observation 94eaae27-d118-40cb-8977-3b00f89ad362 · outbound

This paper cites Zdeborov´ a and F.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Zdeborov´ a and F

Reference 18

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Observation 4bc47e2c-ae70-4e64-8ca1-806d1978214e · outbound

This paper cites Aubin, B.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Aubin, B

Reference 19

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Observation 3d805a8f-332f-486a-801e-ccf9bd8f792a · outbound

This paper cites Goldt, M.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Goldt, M

Reference 20

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Observation 86c34e28-d811-4f2d-a73a-f71571843cdc · outbound

This paper cites Loureiro, C.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Loureiro, C

Reference 21

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Observation d142edfc-f424-4f04-9e9d-e4c64209aa33 · outbound

This paper cites Duranthon and L.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Duranthon and L

Reference 22

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Observation b91a809e-fed8-4b27-bf4c-cb2828fa1cb6 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 23

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Observation fe4dc9b8-3777-4a67-a117-e81d636e8ad0 · outbound

This paper cites Braunstein, L.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Braunstein, L

Reference 24

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Observation 4d5e1df0-fa28-431f-9bf2-aea9c81ef930 · outbound

This paper cites Deshpande and A.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Deshpande and A

Reference 25

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Observation b0320a7a-8f1e-486b-b186-c27612baced2 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 26

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Observation 0821745b-1a6a-43be-9800-1bc1fe1d3bb0 · outbound

This paper cites Saade, F.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Saade, F

Reference 27

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Observation 063e9ae0-bd3e-4cce-aeb0-b08f2e41673d · outbound

This paper cites Zdeborov´ a and S.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Zdeborov´ a and S

Reference 28

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Observation df1f9c8c-2be2-4336-a60a-d69c13cd6aca · outbound

This paper cites Coja-Oghlan, P.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Coja-Oghlan, P

Reference 29

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Observation bf7d4c3a-ef51-4c67-aa91-1ab93d8b2ca1 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 30

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Observation 3d023fad-2d07-4e81-bf85-b251e0ceba57 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 31

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Observation c76ddd60-283b-4509-ad3c-35cbbe69ed0d · outbound

This paper cites Nishimori, M.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Nishimori, M

Reference 32

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source=pdf_text observed=2026-08-04T08:32:13.224752Z digest=sha256:8e2c4747a9e62f6966dc826fb749c205efa3d67d5821599e9cadc0370a51c3c1

Observation aba4cfce-48d7-45a9-9364-5f1445bea572 · outbound

This paper cites Jenatton, G.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Jenatton, G

Reference 33

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source=pdf_text observed=2026-08-04T08:32:12.415611Z digest=sha256:898518f6abfa3300dde52f047318523155237408b126e2daff15aa8795a05abe

Observation 0b36b6bf-473d-40da-a8f0-1da830f63792 · outbound

This paper cites Semerjian.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Semerjian

Reference 34

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Observation 008d512c-6326-4efa-a12b-e5458bdcd924 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 35

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source=pdf_text observed=2026-08-04T08:32:12.624769Z digest=sha256:4ee14a3cd221616ce9a2b3de801fdb33fa8422ff7ced9f3519cfde76cb42d518

Observation 42678a96-2a95-44a6-9aa4-c842a6422e15 · outbound

This paper cites Barbier and D.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Barbier and D

Reference 36

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source=pdf_text observed=2026-08-04T08:32:12.726522Z digest=sha256:a98e618b7e50558d04cb272301a7e669e309f90980635dc489c3d7098b9c165f

Observation c6232271-b249-4b94-8fb8-c210b46f572d · outbound

This paper cites Nishimori.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Nishimori

Reference 37

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source=pdf_text observed=2026-08-04T08:32:12.761201Z digest=sha256:3a3f89a882099ac653263d17a1baeb1110555b2580e9763015e48b78b78f08d3

Observation bf87911f-886c-4108-b652-90354e928305 · outbound

This paper cites Nishimori.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Nishimori

Reference 38

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source=pdf_text observed=2026-08-04T08:32:13.054844Z digest=sha256:bed3f22fb09ff15f97042fb2ae1fbf649c650ba3988dfc83d79041fce15ac6b6

Observation 1b2ff05d-568e-4d62-a3a2-a1f8ca793d1c · outbound

This paper cites Ricci-Tersenghi, G.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Ricci-Tersenghi, G

Reference 40

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source=pdf_text observed=2026-08-04T08:32:13.324951Z digest=sha256:6d075f384bb6bccdd78f86f4e48cda01eaed75d31c8feb2ae1f7945d86e8e710

Observation 4fac703b-59a8-4fae-8cb1-72f176082fa9 · outbound

This paper cites Solving Constraint Satisfaction Problems through Belief Propagation-guided decimation.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Solving Constraint Satisfaction Problems through Belief Propagation-guided decimation

Reference 41

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no resolver link, observed 2026-08-04T08:32:13.464758Z

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source=pdf_text observed=2026-08-04T08:32:13.464758Z digest=sha256:f04203c85943d52bb2e3eadc1667f89ab0c66595e3b89d126ed22af5b5e67922

Observation 562a4b7e-29b9-4b76-b4b0-e38c138419e0 · outbound

This paper cites Semerjian.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Semerjian

Reference 42

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no resolver link, observed 2026-08-04T08:32:13.594750Z

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source=pdf_text observed=2026-08-04T08:32:13.594750Z digest=sha256:10bb3c98ec52dfb54c9a906385653ecb1e6f1bdde18f22f788146e9ae00cf1bb

Observation dde943e5-9a8c-4994-ae33-f61292a1f60c · outbound

This paper cites M´ ezard and A.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass M´ ezard and A

Reference 43

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no resolver link, observed 2026-08-04T08:32:13.664770Z

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source=pdf_text observed=2026-08-04T08:32:13.664770Z digest=sha256:a1e0bd17d0cfca44ab04163a55fe41bd61fdf9cce8cf6ca5b1d2d7cd95213784

Observation 170c15d7-bfdb-48d2-86db-e7cac3b94e5a · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-04T08:32:13.755050Z

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source=pdf_text observed=2026-08-04T08:32:13.755050Z digest=sha256:fec0db8e3572466d5694beaf2bf6e3150a2b422cc45cd0a3309fec18b79737e8

Observation 3646d6e7-5580-4fb4-a9d3-6f98656dd1ce · outbound

This paper cites This could be done using Monte Carlo sampling or Belief Propagation algorithms.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass This could be done using Monte Carlo sampling or Belief Propagation algorithms

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-04T08:32:13.982038Z

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source=pdf_text observed=2026-08-04T08:32:13.982038Z digest=sha256:8459660eabe6fbbf6a4bf59d7ae9b8845dde9356ee587f8b2721134a131df121

Observation 6663d182-d271-46c1-9314-301960ec84fe · outbound

This paper cites Letm (t) i0→j0 be the message sent by the BP algorithm at iterationtalong the edge (i 0, j0).

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Letm (t) i0→j0 be the message sent by the BP algorithm at iterationtalong the edge (i 0, j0)

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-04T08:32:14.145502Z

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source=pdf_text observed=2026-08-04T08:32:14.145502Z digest=sha256:4ebb05d6704ec71b8a886a0f2d85c0b6c4bf4ce7168ccb4db7c6d60dba54cb7e

Observation bf5ec2f9-b06e-42d3-adbc-bf707804cc01 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-04T08:32:14.244751Z

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source=pdf_text observed=2026-08-04T08:32:14.244751Z digest=sha256:f89774a00671cd1ded8b3ee96032d34f24b3d04a50478c152cdaa3c8e320f86d

Observation e6c7ef84-e848-46c4-8a57-579979cb4e1d · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-04T08:32:14.304753Z

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source=pdf_text observed=2026-08-04T08:32:14.304753Z digest=sha256:e6ee4ee5eff1d3d61411327be5eb61c53875370e827c36a18b8d0721ceaa9b37

Observation 2e23c5fa-e771-477f-b8a5-15ee6bd3d360 · outbound

This paper cites Cavity equations Obtaining the 1-RSB cavity equation for the prior probability is analogous to what done in Appendix B 1.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Cavity equations Obtaining the 1-RSB cavity equation for the prior probability is analogous to what done in Appendix B 1

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-04T08:32:14.403418Z

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source=pdf_text observed=2026-08-04T08:32:14.403418Z digest=sha256:bcbf180a05f1ef1201ff7f44a46764488c6e698d98b6e7b656c39ab85dbf5b97

Observation 2ce32b4d-3522-430f-ad61-41add59378fc · outbound

This paper cites Sampling the disordered variables Once again, the couplingsJ are not independent.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Sampling the disordered variables Once again, the couplingsJ are not independent

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-04T08:32:14.552990Z

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source=pdf_text observed=2026-08-04T08:32:14.552990Z digest=sha256:b5e727029c121f525a3dc921eba37e6f80eca9e12b0f712092b93eae62d0128e

Observation 1a2120f5-8201-4348-85a8-509df4ee190c · outbound

This paper cites One can neverthe- less obtain tractable equations by settingx 0 = 1 and applying simplifications analogous to those used for the posterior in Appendix C 2 c.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass One can neverthe- less obtain tractable equations by settingx 0 = 1 and applying simplifications analogous to those used for the posterior in Appendix C 2 c

Reference 51

Resolution
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no resolver link, observed 2026-08-04T08:32:14.660408Z

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source=pdf_text observed=2026-08-04T08:32:14.660408Z digest=sha256:8b58e1d52421d412e04d39cfe66ee3aa6b3a2ba8a5503e2064ab7456f32cb217

Observation e40a7084-547a-437c-8282-c25561c37522 · outbound

This paper cites an unresolved cited work.

Bayesian Inference with Structured Signal: Static Replica Symmetry Breaking on the Nishimori Line in the Planted Spin Glass Unresolved cited work

Reference 1301

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parse uncertain
no resolver link, observed 2026-08-04T08:32:11.013884Z

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source=pdf_text observed=2026-08-04T08:32:11.013884Z digest=sha256:2bb9561fcf09db24c04a4934aebf06c2c6a39e2ee5259142778865f086dd9bf6

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