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Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2607.18032.

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

pith.paper-citation-record.v1
2607.18032 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:26:38.609438Z

measured 20 of 20 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:21:57.676975Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T04:21:57.753752Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved18
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ebd58e0-b78b-4914-a122-87d0c166ba8b · outbound

This paper cites Auffinger and W.-K.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Auffinger and W.-K

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:36.876659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:36.876659Z digest=sha256:7516a12ebeda6e65db4ca3878a3221266a2fc1ac124265c433094fa18316cc3b

Observation 306b3c23-5def-4232-af2d-4c7c5747e04e · outbound

This paper cites Auffinger and W.-K.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Auffinger and W.-K

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:36.984446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:36.984446Z digest=sha256:bc767c52d842c37709fcaa677f6032bbc90b2ebab7437290591186fc73993858

Observation 3eee87b0-1704-46f8-8335-c9529c01fcd8 · outbound

This paper cites Auffinger and W.-K.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Auffinger and W.-K

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:37.149326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:37.149326Z digest=sha256:098531a696b8dbc32584357af057011753c54f7b51bfccf9993b3b258e0b5121

Observation 2f56581a-d3b3-4a22-bac9-889af99e4604 · outbound

This paper cites Auffinger, W.-K.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Auffinger, W.-K

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:37.308314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:37.308314Z digest=sha256:2d3033f0fbedddbc0a12dedc7038042969247bdca23979e2381ca1153e09907b

Observation aae9f07c-adba-4a1a-a62d-0bbd3c7ba6d2 · outbound

This paper cites an unresolved cited work.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:37.524957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:37.524957Z digest=sha256:c777164350dd928b136c4deafd368b8755b37d5678ffe9276e5d62ea2ceb2e33

Observation e4458b71-ad11-4b9c-99a7-636fe49828a1 · outbound

This paper cites an unresolved cited work.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:37.676556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:37.676556Z digest=sha256:111b05a74f48205031af637577cef343c3bcd6d9a02d4fb115958df9c1e5d2b7

Observation 47762ed4-c6b4-44f9-ab1e-ffa96dfc4aa3 · outbound

This paper cites El Alaoui, A.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature El Alaoui, A

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:37.826048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:37.826048Z digest=sha256:35251828c7f089c0afd19e87d2c85bee460b36e2aa2ca3ba5957e03397bbd7ef

Observation 7e410c00-e39e-401d-b96c-ba9e43cdc367 · outbound

This paper cites Guerra, Broken replica symmetry bounds in the mean field spin glass model,Communications in Mathe- matical Physics233(2003), 1–12.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Guerra, Broken replica symmetry bounds in the mean field spin glass model,Communications in Mathe- matical Physics233(2003), 1–12

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:37.878478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:37.878478Z digest=sha256:35013dc8a12f1564246a8d8161c1f3a1aa4f21a0d54767f6bb42837550df9066

Observation a107f879-3f94-433c-a2d1-890a98a5a601 · outbound

This paper cites Jagannath and I.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Jagannath and I

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:37.962072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:37.962072Z digest=sha256:9d4691f35c64a2245b2799cc3b8dedfe7b439ef22908fed2dd61f837c97509a2

Observation ab2fbcb1-611b-49e7-aee6-a3e6e2c9911a · outbound

This paper cites Jagannath and I.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Jagannath and I

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:38.048862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:38.048862Z digest=sha256:a8a6c4dcfb96f7ca5c0bc5f684813327f72bd00dd2c396d93d5c1387d3fad85c

Observation d18bdc98-f04e-41fb-aa4e-313ddac86890 · outbound

This paper cites Karlin,Total Positivity, vol.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Karlin,Total Positivity, vol

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:38.086801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:38.086801Z digest=sha256:6a83d212e9e39f18bb77d0e634048ff3fb4feecf5b96d73ebee375f00e9abdc7

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

This paper cites Full replica symmetry breaking in the Sherrington-Kirkpatrick model.

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.

source=pdf_text observed=2026-08-01T16:26:38.193461Z digest=sha256:9a4c2f9a4d6ae02cec76911b2e411651a623c222877db6e29ecf122e1b106fdc

Observation 58dd6171-bf6f-4e85-828d-f08234df4e9b · outbound

This paper cites Montanari, Optimization of the Sherrington–Kirkpatrick Hamiltonian,SIAM Journal on Computing54 (2025), no.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Montanari, Optimization of the Sherrington–Kirkpatrick Hamiltonian,SIAM Journal on Computing54 (2025), no

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:38.228576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:38.228576Z digest=sha256:30aff916d326a03ac062ba123edf32d1da43ea1e1d6e1d3078d4459d17bb4687

Observation 894c07e2-2b1c-4e34-8b9c-f06bb7c06932 · outbound

This paper cites Panchenko, The Parisi formula for mixedp-spin models,Annals of Probability42(2014), no.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Panchenko, The Parisi formula for mixedp-spin models,Annals of Probability42(2014), no

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:38.306767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:38.306767Z digest=sha256:f64b7dec887649f0fef6b4759477454034f78180bf7c602649a2cefdcdaab034

Observation 99c09f44-1a9b-4b8b-b4c4-b08434d130fc · outbound

This paper cites Panchenko, The Parisi ultrametricity conjecture,Annals of Mathematics177(2013), no.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Panchenko, The Parisi ultrametricity conjecture,Annals of Mathematics177(2013), no

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:38.374771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:38.374771Z digest=sha256:b64b4fd4660f2469969d601e04c5b0c8aac8c6c004ac27b0bc1c4b7c8af72c2c

Observation 53f33961-58f6-4415-af54-9abde3c575dd · outbound

This paper cites Parisi, Infinite number of order parameters for spin-glasses,Physical Review Letters43(1979), 1754–1756.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Parisi, Infinite number of order parameters for spin-glasses,Physical Review Letters43(1979), 1754–1756

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:38.429283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:38.429283Z digest=sha256:fe354666b723f39a0e19b7914556975f8a5d0f24afa826e375178c1d6ec5240d

Observation a55c3972-35d7-44df-a0c7-1b319738ccfe · outbound

This paper cites Sherrington and S.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Sherrington and S

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:38.502366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:38.502366Z digest=sha256:59bd618d4db3813fa152230eb686671bbfb1031f3d0448ebf211ad2638bdef22

Observation 5e870fe2-97da-41b5-bc56-add6a8c8054c · outbound

This paper cites Talagrand, The Parisi formula,Annals of Mathematics163(2006), no.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Talagrand, The Parisi formula,Annals of Mathematics163(2006), no

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:38.550325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:38.550325Z digest=sha256:c43a1d8b411c2827f1635ca9cc6164edeb5f2e65867edf4c54636edcca87c437

Observation 1546d2a0-3ce9-42f6-9720-70b23843169f · outbound

This paper cites Zhou, Existence of full replica symmetry breaking for the Sherrington–Kirkpatrick model at low temperature, Communications on Pure and Applied Mathematics79(2026), no.

FRSB in the SK spin glass: convergence to full-interval support at zero temperature Zhou, Existence of full replica symmetry breaking for the Sherrington–Kirkpatrick model at low temperature, Communications on Pure and Applied Mathematics79(2026), no

Reference 20

Resolution
malformed identifier
no resolver link, observed 2026-08-01T16:26:38.609438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:38.609438Z digest=sha256:ca290cbb7bfc8e4e0661c8689578f00968d0d99abe00a7a96c02ecd63919a308

Pith citing papers

Observation 556de596-7f3f-42af-8af5-f8290970501b · 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 FRSB in the SK spin glass: convergence to full-interval support at zero temperature

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-10T04:21:57.758121Z

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.

source=pdf_text observed=2026-08-10T04:21:57.676975Z digest=sha256:68d86d080cb8d5af48d4c54d7c7623dc0f2b5ec13544de21e33ef3a4069383a6