Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:54:50.714034Z
Paper Citation Record · LEDGER
Phase transitions in low-dimensional long-range random field Ising models
As of 23 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 4 inbound Pith citation observations for arXiv:2412.19281.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T17:41:21.746427Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T06:00:58.591854Z
Reference resolution
26 of 26 outbound references displayed
- verified exact1
- verified fuzzy16
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 56285d1b-5da5-4d1f-8c75-26c55c26b29d · outbound
This paper cites Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours.
Phase transitions in low-dimensional long-range random field Ising models Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T00:54:50.779729Z
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 cb81a641-18e3-4c55-b212-84983e9c442a · outbound
This paper cites Affonso, R.
Phase transitions in low-dimensional long-range random field Ising models Affonso, R
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.239867Z
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 1e1e5702-275e-4d6c-8863-a267eff15600 · outbound
This paper cites Phase Transitions in Multidimensional Long-Range Random Field Ising Models.
Phase transitions in low-dimensional long-range random field Ising models Phase Transitions in Multidimensional Long-Range Random Field Ising Models
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:54:50.590378Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a998610f-bfe4-40e9-b4ea-385056c5de94 · outbound
This paper cites Aizenman, R.
Phase transitions in low-dimensional long-range random field Ising models Aizenman, R
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.219545Z
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 a519f814-2928-492a-89ea-8ece0af68058 · outbound
This paper cites Aizenman, M.
Phase transitions in low-dimensional long-range random field Ising models Aizenman, M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.197770Z
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 dcdf71f8-fefe-4d09-b4b1-b8344da17d7d · outbound
This paper cites Aizenman and R.
Phase transitions in low-dimensional long-range random field Ising models Aizenman and R
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.178528Z
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 f733b2f4-5135-4462-be1f-250df052ce38 · outbound
This paper cites Aizenman and J.
Phase transitions in low-dimensional long-range random field Ising models Aizenman and J
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.161816Z
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 1741bb86-5929-4b8a-b6b3-26335b759da7 · outbound
This paper cites Biskup, L.
Phase transitions in low-dimensional long-range random field Ising models Biskup, L
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.142503Z
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 433b5316-b17a-4fa1-ad25-e53fc8f4fdca · outbound
This paper cites Bissacot, E.
Phase transitions in low-dimensional long-range random field Ising models Bissacot, E
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.123644Z
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 dedff3ee-edd6-4332-9e1f-9169948df88e · outbound
This paper cites an unresolved cited work.
Phase transitions in low-dimensional long-range random field Ising models Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:54:51.104077Z
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 dafe5a91-c3e6-420a-b376-5b6c3963bf12 · outbound
This paper cites Bricmont and A.
Phase transitions in low-dimensional long-range random field Ising models Bricmont and A
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.080902Z
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 a7273148-bb41-4cb9-9814-31b3e87d48e0 · outbound
This paper cites Cassandro, E.
Phase transitions in low-dimensional long-range random field Ising models Cassandro, E
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.058371Z
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 fac81ba6-8f16-4c8a-a307-10b66ca29adf · outbound
This paper cites Chatterjee.
Phase transitions in low-dimensional long-range random field Ising models Chatterjee
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:51.032940Z
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 ab683602-778e-422b-9d1a-f33f391bd0b3 · outbound
This paper cites an unresolved cited work.
Phase transitions in low-dimensional long-range random field Ising models Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:54:51.011684Z
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 46a17fe3-9944-4dae-af70-6fd005b72e2e · outbound
This paper cites an unresolved cited work.
Phase transitions in low-dimensional long-range random field Ising models Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:54:50.993428Z
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 715c81db-b063-47b4-a1ab-635d3f28e8de · outbound
This paper cites Ding and M.
Phase transitions in low-dimensional long-range random field Ising models Ding and M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:50.976052Z
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 e26e85be-bad6-47e5-b6c4-de64d9127663 · outbound
This paper cites Ding and J.
Phase transitions in low-dimensional long-range random field Ising models Ding and J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:50.959259Z
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 daee44bd-d2e8-4128-b4c6-a82da1ba4c41 · outbound
This paper cites Ding and Z.
Phase transitions in low-dimensional long-range random field Ising models Ding and Z
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:50.941924Z
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 d2fedb0b-af51-4baa-be25-e5ea7dde400e · outbound
This paper cites an unresolved cited work.
Phase transitions in low-dimensional long-range random field Ising models Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:54:50.924036Z
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 339f88a9-03bf-4eda-b286-708911b434b1 · outbound
This paper cites an unresolved cited work.
Phase transitions in low-dimensional long-range random field Ising models Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:54:50.907322Z
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 b98887b2-0c75-4828-9379-372fea542715 · outbound
This paper cites an unresolved cited work.
Phase transitions in low-dimensional long-range random field Ising models Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:54:50.890213Z
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 76f82ae9-faf4-4c15-9769-3f8765cc8502 · outbound
This paper cites an unresolved cited work.
Phase transitions in low-dimensional long-range random field Ising models Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:54:50.870231Z
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 fb7ab971-5724-4f45-903c-514642aad30b · outbound
This paper cites Fröhlich and T.
Phase transitions in low-dimensional long-range random field Ising models Fröhlich and T
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:50.851716Z
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 86e74fbf-c61c-4431-90a3-5e7fcfc154ef · outbound
This paper cites Imry and S.
Phase transitions in low-dimensional long-range random field Ising models Imry and S
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:50.832960Z
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 604c002b-453d-461a-8df7-de311b674958 · outbound
This paper cites Kac and C.
Phase transitions in low-dimensional long-range random field Ising models Kac and C
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:54:50.814861Z
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 d705e5ec-9117-46b1-abdc-cb8d20a977e5 · outbound
This paper cites an unresolved cited work.
Phase transitions in low-dimensional long-range random field Ising models Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:54:50.797268Z
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 3bf40328-a4fa-463f-a635-4e08c1a9bd4a · inbound
Pinning models with contact number constraint: the effect of disorder cites this paper.
Pinning models with contact number constraint: the effect of disorder Phase transitions in low-dimensional long-range random field Ising models
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T17:41:21.746427Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc95ca5d-bac5-47ba-8b0c-b9d4bae754ca · inbound
A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures cites this paper.
A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Phase transitions in low-dimensional long-range random field Ising models
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T23:56:41.328972Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 377f43f8-0d9c-4a2a-a558-8b451f1cb180 · inbound
Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line cites this paper.
Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line Phase transitions in low-dimensional long-range random field Ising models
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T06:00:58.598485Z
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 31b05b8c-8d6d-4d0e-8ce2-ecbf2bbad58a · inbound
Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line cites this paper.
Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line Phase transitions in low-dimensional long-range random field Ising models
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T16:50:37.805518Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.