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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=sha256:6bc9a254a19762aed95738492487a49ba7ce781be52894bc54ef283f0b5a894b

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=sha256:6712364ae8de8d83eab12094527006377a6aba31ca79b505928b628182f27608

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=sha256:403f3b1620c2052ef2ac1c18a7680acced476ff79d905a378df8eca313539ac6

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=sha256:9711848890309f1818c6f75739d764b57f750b751b37bfc8fe62d213c518e01c

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=sha256:5145cf532fb58e9c0323e06f4f13fa257a3a073c53972d8d57c03ef472680d72

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=sha256:24531c394a6793ecd8b16567f5e3c710350494ad45826236f60faeca89aba25b

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=sha256:5523436ab0bd779d2cf865a24095c5b52dc212dd8837a1110d888f16b5121654

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=sha256:6a8ca4155ea0f133835a53227324a67803fd1ed83bf7ca09244080e459850112

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=sha256:4fc4cd559587f2259c118a4393bec335ca27ba312192d58f2bdf654738eb6461

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=sha256:57e088c726f3d0140e9b75044824c8803630ae8fd505194adbe0e39c513acfe6

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=sha256:408aeb8ee585269ba9bc90e43db10743f2fd7880e7fafbcea585fe3165a94fcf

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:b149ebaa59861e4f76776f4a881c7913284275ba819e971ced7abf7d37637cdd

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:c828f0cef138522370e90c6893d3351dccc12a2a6b1dd238b9743fa5c837d63d

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:cc3df0eb031a5b67217432dfef3d6fcfc437e53bef13bf126e5ecc64548c052a

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:f673408d59fee92350d45599322ff516d2ef0cd7da1df50d1c51fc5a7ce8ccf4

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:eafe6c405cf65657209776dbe11ed1bc8f512d28fba0661905bb77e07d13edfb

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=sha256:7e30342bb4ba964cbf82e7ec9ae4169e616f2d5c39f5d94cd0a68d749afda03a

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:c9db9b07d046136e2e21f5f0441727cd0de1824bf2026b87ab14f7b11f8003df

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:b1d91e979d0175ad7bf5132812ae3ff7d2c429a4ff363c586c222fdf7094a679

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=sha256:568c39e2dfceba9e220b6346bd4e549ab89de8b8445f0c5f48fd942c9c6e35a1