Paper Citation Record · LEDGER

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model

As of 12 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 3 inbound Pith citation observations for arXiv:2412.16952.

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

pith.paper-citation-record.v1
2412.16952 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T06:08:25.820155Z

measured 15 of 15 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:02:07.579594Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

12 of 12 outbound references displayed

verified exact1
verified fuzzy8
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 9eb80b11-1080-499a-b9bb-f50da2822edc · outbound

This paper cites Limit Theorems and Phase Transitions in the Tensor Curie-Weiss Potts Model.

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model Limit Theorems and Phase Transitions in the Tensor Curie-Weiss Potts Model

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T06:08:25.704851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53b3eb8a-8241-4993-a9ce-3cfed7ce9672 · outbound

This paper cites an unresolved cited work.

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T06:08:26.200286Z

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.

Observation 620b38ca-7cbe-46a9-a662-d9b5d5b4c088 · outbound

This paper cites an unresolved cited work.

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T06:08:26.575573Z

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.

Observation 422ca290-63ee-4d63-b9df-2257e25d35c1 · outbound

This paper cites This proves (d).

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model This proves (d)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T06:08:26.425815Z

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.

Observation fc123418-0f34-43e7-915f-be076d8a18e5 · outbound

This paper cites On the other hand, we can choose β >0 large enough, such that H ′ β,0,p( 1 2 ) > tanh−1(wp) > 0, which would then imply that H ′ β,0,p(a2(β)) > tanh−1(wp).

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model On the other hand, we can choose β >0 large enough, such that H ′ β,0,p( 1 2 ) > tanh−1(wp) > 0, which would then imply that H ′ β,0,p(a2(β)) > tanh−1(wp)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T06:08:26.305236Z

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.

Observation 1f38e87f-933c-44b4-acc1-ed6c1723b9e6 · outbound

This paper cites By Lemma F.2 in Mukherjee, Son and Bhattacharya (2021), the only p-special point for odd p is ( ˆβp, ˆhp), and the only p-special points for even p are ( ˆβp, ±ˆhp).

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model By Lemma F.2 in Mukherjee, Son and Bhattacharya (2021), the only p-special point for odd p is ( ˆβp, ˆhp), and the only p-special points for even p are ( ˆβp, ±ˆhp)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T06:08:26.218209Z

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.

Observation 9e79f703-8f08-4709-b9de-b0959d0c8488 · outbound

This paper cites (1) If H ′ β,0,p(a2) ≤ 0, then Hβ,h,p has more than one local maximizer if and only if −H ′ β,0,p(a2) < h <−H ′ β,0,p(a1).

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model (1) If H ′ β,0,p(a2) ≤ 0, then Hβ,h,p has more than one local maximizer if and only if −H ′ β,0,p(a2) < h <−H ′ β,0,p(a1)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T06:08:26.183422Z

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.

Observation 437d3b40-12bb-4d29-b483-a2576dbffd7c · outbound

This paper cites Moreover, once again, H ′ β,h,p(a2) > 0, which guarantees another local maximizer in ( a2, 1).

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model Moreover, once again, H ′ β,h,p(a2) > 0, which guarantees another local maximizer in ( a2, 1)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T06:08:26.163986Z

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.

Observation 7d25a44e-7215-4cbb-ba96-0b2d5a0fe445 · outbound

This paper cites (D.1) Let et := ct − ¯c and set e0 := 2AN −γ, where 0 < γ <1 is a quantity to be chosen later.

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model (D.1) Let et := ct − ¯c and set e0 := 2AN −γ, where 0 < γ <1 is a quantity to be chosen later

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T06:08:26.103277Z

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.

Observation 95564d0c-a228-4340-b9e1-fdfb942e4e6a · outbound

This paper cites A.(2019).

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model A.(2019)

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T06:08:26.726534Z

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.

Observation eeeb0e82-b25b-46a3-8b96-b96f98f21769 · outbound

This paper cites Three-Dimensional.

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model Three-Dimensional

Reference 477

Resolution: verified exact; raw_fallback, observed 2026-08-11T06:08:26.015170Z

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.

Observation 1aea6d8a-34d3-4c10-a5c9-084c8ee97485 · outbound

This paper cites and Dyer, M.

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model and Dyer, M

Reference 554

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T06:08:26.995757Z

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.

Pith citing papers

Observation 5db07aa2-6abf-4a08-8b81-7a6ec57e3e32 · inbound

Stochastic Localization with Non-Gaussian Tilts and Applications to Tensor Ising Models cites this paper.

Stochastic Localization with Non-Gaussian Tilts and Applications to Tensor Ising Models Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T14:02:07.579594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc5cb0a2-9af1-46f7-8428-c5599c9e66d8 · inbound

Approximate FKG inequalities for phase-bound spin systems, with applications to central limit theorems for exponential random graphs cites this paper.

Approximate FKG inequalities for phase-bound spin systems, with applications to central limit theorems for exponential random graphs Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-21T16:20:20.616900Z

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.

Observation 2ba09474-7427-4613-9086-84dd072564c4 · inbound

Joint Estimation in Potts Model cites this paper.

Joint Estimation in Potts Model Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model

Reference 68

Resolution: verified exact; arxiv_id, observed 2026-05-10T19:40:45.081882Z

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.