Paper Citation Record · LEDGER

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms

As of 23 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 3 inbound Pith citation observations for arXiv:2412.03511.

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

pith.paper-citation-record.v1
2412.03511 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:33:21.219441Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:24:36.630816Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T04:43:53.501370Z

Reference resolution

29 of 29 outbound references displayed

verified exact1
verified fuzzy17
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7fd358a9-7a0f-440f-994c-e48a859a65e5 · outbound

This paper cites Hardness of sampling solutions from the Symmetric Binary Perceptron.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Hardness of sampling solutions from the Symmetric Binary Perceptron

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T22:33:21.074503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ab3369d-b2ff-4049-9e70-0878b88ec466 · outbound

This paper cites 860--873.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 860--873

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.826071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5fbe053f-4de7-4fbd-a541-cf6bd9be2821 · outbound

This paper cites 327--338.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 327--338

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.810131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation af28ad7b-89b5-42ea-8546-fa11082aab51 · outbound

This paper cites 6, 2922--2960.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 6, 2922--2960

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.795142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation beeba17a-e171-4b61-8241-7f091aa60e12 · outbound

This paper cites an unresolved cited work.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T22:33:21.095907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9507e4e0-38d2-4889-9a4d-798b322b89ed · outbound

This paper cites Shattering in Pure Spherical Spin Glasses.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Shattering in Pure Spherical Spin Glasses

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-11T22:33:21.331601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 49bd51e2-24dd-490b-a6ea-5fa7a86294ef · outbound

This paper cites 1, 139--176.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 1, 139--176

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.779230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 64c48dc8-430e-40fc-95a2-d91c98aad821 · outbound

This paper cites an unresolved cited work.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T22:33:21.111620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c63c1f99-2bda-4661-9490-6cfa9a633421 · outbound

This paper cites 05, P05012.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 05, P05012

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.752942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 662b9530-1892-4a98-9a4f-8389b620c704 · outbound

This paper cites 5, 2734--2756.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 5, 2734--2756

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.736274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 28a50fcd-a14d-4b55-8a5c-e5b3899269ae · outbound

This paper cites an unresolved cited work.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:33:21.720939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 635643dd-848f-4975-a1de-946e83eb9cd0 · outbound

This paper cites 3, 341--354.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 3, 341--354

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.705156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b8ba1093-caa4-420f-aea2-ee5420cbb0ae · outbound

This paper cites 1, 014204.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 1, 014204

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.689320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d8eec343-2273-40ce-b9e4-8511a8c2e4b5 · outbound

This paper cites an unresolved cited work.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:33:21.674130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3065fefc-4c17-4354-807c-37612baac3db · outbound

This paper cites Shattering in the Ising Pure $p$-Spin Model.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Shattering in the Ising Pure $p$-Spin Model

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T22:33:21.146840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fd2d344-e9b8-4e22-a05b-b858fd87e5d9 · outbound

This paper cites Wein, Low-degree hardness of random optimization problems, Proceedings of 61st FOCS, IEEE, 2020, pp.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Wein, Low-degree hardness of random optimization problems, Proceedings of 61st FOCS, IEEE, 2020, pp

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.658379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 48694ce8-e811-4a7d-87d8-9704cdb51f3a · outbound

This paper cites Circuit Lower Bounds for the p-Spin Optimization Problem.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Circuit Lower Bounds for the p-Spin Optimization Problem

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T22:33:21.157161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7999399-6984-4b65-9241-9a9c2e6a32a6 · outbound

This paper cites 369--376.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 369--376

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.643484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f2edc1db-c541-4d8a-905b-53ba3b3068a0 · outbound

This paper cites 2, 590--619.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 2, 590--619

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.627902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 20f46bfb-fbfc-4b4a-9a34-5ebc3824d2b5 · outbound

This paper cites 1, 60--119.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 1, 60--119

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.612901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 434f7131-cffc-47b8-a5d3-d0a8921b4f91 · outbound

This paper cites Potential Hessian Ascent: The Sherrington-Kirkpatrick Model.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Potential Hessian Ascent: The Sherrington-Kirkpatrick Model

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T22:33:21.177013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10668f7c-77ca-4123-ad1f-c5f4bacd0878 · outbound

This paper cites Sharp Thresholds for the Overlap Gap Property: Ising $p$-Spin Glass and Random $k$-SAT.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Sharp Thresholds for the Overlap Gap Property: Ising $p$-Spin Glass and Random $k$-SAT

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T22:33:21.182036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b2ebd96-90ae-4fcc-adf9-54c09666109d · outbound

This paper cites 0, FOCS19--1.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 0, FOCS19--1

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.597171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 45fd076c-84ad-4426-962e-672039975389 · outbound

This paper cites an unresolved cited work.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:33:21.580586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5c5e8adc-e673-4d20-9269-2730981edd7d · outbound

This paper cites 1579--1588.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 1579--1588

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.563145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a73fb38b-a3fc-4ebb-881e-86f951cef562 · outbound

This paper cites 5, 1021--1044.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 5, 1021--1044

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.547529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f24c50b8-fbce-4077-88f2-eb4fecbf1666 · outbound

This paper cites an unresolved cited work.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:33:21.531644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cbac9662-b260-4c78-9d7d-395cc8133777 · outbound

This paper cites 3, 339--382.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 3, 339--382

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.516983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4a98757e-a6a8-4c08-bd0c-5b7e0108b1df · outbound

This paper cites 47, Cambridge university press, 2018.

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms 47, Cambridge university press, 2018

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:33:21.501104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation b4d46ff1-0641-4c1d-bd05-89965a3ded94 · inbound

On the Discontinuous Breaking of Replica Symmetry and Shattering in Mean-Field Spin Glasses cites this paper.

On the Discontinuous Breaking of Replica Symmetry and Shattering in Mean-Field Spin Glasses Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T11:36:41.207748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c067c9b4-c91c-45c4-bcc5-77aed99f7cd8 · inbound

Sequential Dynamics in Ising Spin Glasses cites this paper.

Sequential Dynamics in Ising Spin Glasses Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:43:53.651090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fffa0985-326b-48e2-b2fc-8fc1a6a25b30 · inbound

Large Average Subtensor Problem: Ground-State, Algorithms, and Algorithmic Barriers cites this paper.

Large Average Subtensor Problem: Ground-State, Algorithms, and Algorithmic Barriers Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms

Reference 2613

Resolution: unresolved; no resolver link, observed 2026-08-15T19:24:36.630816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.