Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:33:31.460302Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2507.08092.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:33:31.460302Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
55 of 55 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4d8b8449-667a-40b7-82ae-daf80fb04682 · outbound
Long range to short range crossover in one dimension This trend is more evident atσ= 1.3and1.4, and byσ= 1.5,ηaligns with ηSR, which supports the Sak scenario over Fisher’s
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2069ebc5-2b05-4865-9e57-c004e7258875 · outbound
Long range to short range crossover in one dimension Campa, T
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1a6b7457-ee0d-40ac-b393-3b993fadd0fd · outbound
Long range to short range crossover in one dimension Defenu, T
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e271f652-7737-4cb8-9b12-0fe120d8bd30 · outbound
Long range to short range crossover in one dimension Häffner, C
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ba9027cc-ca19-404b-aaf7-94138fe203c9 · outbound
Long range to short range crossover in one dimension Saffman, T
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2512758f-72d8-4790-967a-18a05bb84e0e · outbound
Long range to short range crossover in one dimension Ritsch, P
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1ce78ac-dcd6-4248-bd26-9ae4f17bfd7c · outbound
Long range to short range crossover in one dimension Bernien, S
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71a8cf7d-43b7-4ea3-aa84-67d4161dba84 · outbound
Long range to short range crossover in one dimension Monroe, W
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 02294f30-d2a7-4dbf-9b57-e10bac6880cd · outbound
Long range to short range crossover in one dimension Defenu, A
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4f96d38a-2710-4ce6-b506-60e2a924815c · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 23af641e-e497-47de-bdf3-ca6d84447f96 · outbound
Long range to short range crossover in one dimension Thouless, Physical Review187, 732 (1969)
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 385181eb-c95c-4f00-9fa5-a213f0e8fad3 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c7c7a6f1-ae70-4138-99d5-b0340d364af3 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8cab2837-4bf6-43da-8618-b5487114c305 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4341c90e-6a75-4d8f-8cfa-49bb10c68020 · outbound
Long range to short range crossover in one dimension Defenu, A
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7249e6ed-3f32-4c3d-8a89-8db3e9e5ea9c · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7f1e4371-a390-47e0-8376-80be0cfe9950 · outbound
Long range to short range crossover in one dimension Sak, Physical Review B8, 281 (1973)
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation db821a5e-8acc-4ecd-85a8-1f40c4a5a204 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e70cb356-8938-49be-affa-85df39ef78cc · outbound
Long range to short range crossover in one dimension Yamazaki, Physics Letters A61, 207 (1977)
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1d97f096-8383-4c15-9517-faee6b5b68b6 · outbound
Long range to short range crossover in one dimension Yamazaki, Physica A: Statistical Mechanics and its Applica- tions92, 446 (1978)
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 0367491e-4ac7-4496-bc4c-a7f17b077cce · outbound
Long range to short range crossover in one dimension Gusmao and W
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b930dd5b-eb58-440c-ac66-5a213dc07803 · outbound
Long range to short range crossover in one dimension Luijten and H
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4ef8da43-831f-4fd7-b8bc-2a2debe685f7 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation d94a6c0d-8e7a-4fa3-96b5-e6678a890b22 · outbound
Long range to short range crossover in one dimension Brezin, G
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation d912c1aa-0afb-4905-8135-b66d7cd7e5f8 · outbound
Long range to short range crossover in one dimension Defenu, A
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 0145e2ee-d76c-483d-b691-60b2985fd63b · outbound
Long range to short range crossover in one dimension Critical behavior of the Ising model with long range interactions
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d435b940-60f8-4c21-b232-91708348f7a9 · outbound
Long range to short range crossover in one dimension Blanchard, M
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 453029df-10ed-43f8-af53-e2208ecefb68 · outbound
Long range to short range crossover in one dimension Behan, L
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation d054f188-b418-4569-ba36-aacc789dbccb · outbound
Long range to short range crossover in one dimension Behan, L
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 5884abbc-e1e5-4e23-9877-3774ece932c1 · outbound
Long range to short range crossover in one dimension Benedetti, E
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e8241717-1b80-411b-bfad-c0218390718d · outbound
Long range to short range crossover in one dimension Giachetti, N
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6d91c46e-6311-49f9-ad38-e0d6deed9f97 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3da5728c-a76b-4ffd-bab9-52a275c2e8d6 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 174b48c8-aaa0-4436-9588-9b1d57dc05a1 · outbound
Long range to short range crossover in one dimension De Gennes,Scaling concepts in polymer physics(Cornell University Press, 1979)
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6b1943a-c056-4217-8cec-038021405642 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation d71c34ff-7a26-45ed-8c67-2c0d96bcf711 · outbound
Long range to short range crossover in one dimension Slade, Proceedings of the Royal Society A475, 20180549 (2019)
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4171cfc1-df79-4788-84c0-57bf82684fd3 · outbound
Long range to short range crossover in one dimension de Gennes, Physics Letters A38, 339 (1972)
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 5a9d9ca1-9fa6-4e81-9e98-4e2974a177b0 · outbound
Long range to short range crossover in one dimension Slade, Communications in Mathematical Physics358, 343 (2018)
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation fa5cb3f8-9ad9-444f-885b-8d74adfd3257 · outbound
Long range to short range crossover in one dimension Grassberger, Journal of Physics A: Mathematical and General 18, L463 (1985)
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation dbf3c2c4-1ac2-4c5c-b8fa-acaee4f329d9 · outbound
Long range to short range crossover in one dimension However, since the jump(length) distribution in Lévy-SAW follows a heavy- tailed power-law,⟨R 2 N ⟩becomes ill-defined
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a26a7056-1b6c-457a-853a-6407124bf98d · outbound
Long range to short range crossover in one dimension Madras and G
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e0697ea7-f232-419b-a5e7-bfe33c23bf21 · outbound
Long range to short range crossover in one dimension Halley and H
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8e7f1a64-2c70-466a-8746-86d607b40734 · outbound
Long range to short range crossover in one dimension Monte Carlo Methods for the Self-Avoiding Walk
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 77acd2f5-2423-463f-8392-5524929c8f8d · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 07f5ee41-5f09-4cad-bcde-6385734556b1 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 59bfa531-e1df-4dc8-9297-e05fc2720161 · outbound
Long range to short range crossover in one dimension Solfanelli and N
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 167e2652-733f-4707-8b1c-c6dd45700ee8 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 181038aa-65f4-4e82-aec0-40a03cffbd38 · outbound
Long range to short range crossover in one dimension Sarkar, T
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2c60d556-3770-4c26-8885-477803ff54bc · outbound
Long range to short range crossover in one dimension Bighin, T
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 29d720ec-b36f-4bcb-8932-de484088d40b · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb4aa2f3-7a10-4cf5-95dd-ea7ef7ee8d09 · outbound
Long range to short range crossover in one dimension Long range to short range crossover in one dimension
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2e6ffcc6-3971-473e-8987-cd9a5a1a0775 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 14692576-149a-44cf-966c-fa71a6aaf55a · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e55a2c0e-1293-4546-908a-b5716f8ef791 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 34f9f6ea-9879-4660-95be-330e21d26367 · outbound
Long range to short range crossover in one dimension Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
No inbound Pith citation observations are available.