Paper Citation Record · LEDGER

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model

As of 15 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2501.14134.

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

pith.paper-citation-record.v1
2501.14134 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:26:20.876594Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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verified fuzzy25
unresolved19
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a2b1ee4e-b90b-4e1a-95c4-5cf00b2ab391 · outbound

This paper cites Lenz, Beitr¨ age zum verst¨ andnis der magnetischen eigenschaften in festen k¨ orpern, Physikalische Zeitschrift 21, 613 (1920).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Lenz, Beitr¨ age zum verst¨ andnis der magnetischen eigenschaften in festen k¨ orpern, Physikalische Zeitschrift 21, 613 (1920)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.324028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6a6d137d-91bb-488e-a755-e44605edc7de · outbound

This paper cites Ising, Beitrag zur theorie des ferromagnetismus, Zeitschrift f¨ ur Physik31, 253 (1925).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Ising, Beitrag zur theorie des ferromagnetismus, Zeitschrift f¨ ur Physik31, 253 (1925)

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T15:26:20.735570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04b4d5cc-e4db-492e-936a-7e062bef0822 · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.307733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 42e78190-af56-4966-b866-13820889a0c7 · outbound

This paper cites Chandler, Introduction to Modern Statistical Mechan- ics (Oxford University Press, 1987).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Chandler, Introduction to Modern Statistical Mechan- ics (Oxford University Press, 1987)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.298226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fffabd45-49fc-43a1-bc10-a87e6badd73f · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.288639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 03d1e00a-11b1-4953-acec-413568fdddb2 · outbound

This paper cites Jaschke, K.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Jaschke, K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.278844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f6994fa0-3205-4f02-abc9-3ff7f85c2bdc · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.268926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 648bb8ae-4565-4028-a6c3-c99463263136 · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.258248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 19d9b024-5901-4e68-9710-523001ad9c83 · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.248150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6779ecdc-57d3-4137-8efc-800eb725d1ff · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.237567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4e6b0e2b-df05-4855-8617-855eb34e2041 · outbound

This paper cites Gonzalez Lazo, M.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Gonzalez Lazo, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.227259Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fc20eb12-ed8a-4441-a0fb-310051156839 · outbound

This paper cites Graß and M.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Graß and M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.217615Z

Source-reported events for the cited work

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Observation 6ce21adc-2ff6-4547-8fbe-ba500c1d850e · outbound

This paper cites Stute, B.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Stute, B

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T15:26:20.774122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae4f464b-4b88-49d5-bcdd-9b3e35672115 · outbound

This paper cites Secker, R.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Secker, R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.201185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2c396fe0-3fa7-4c6f-b107-e4d4ec20344b · outbound

This paper cites Zhang, H.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Zhang, H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.191831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation af57e510-f588-44c9-bcee-093fe1fd870b · outbound

This paper cites Chen, An intuitive study of fractional derivative mod- eling and fractional quantum in soft matter, Journal of Vibration and Control 14, 1651 (2008).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Chen, An intuitive study of fractional derivative mod- eling and fractional quantum in soft matter, Journal of Vibration and Control 14, 1651 (2008)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.181984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 45ae42e4-b004-4cc2-9d6d-bcae3e34a05b · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.172259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b53532d0-566e-4b3d-91b5-3d19e4aaa018 · outbound

This paper cites Laskin, Fractional quantum mechanics and l´ evy path integrals, Physics Letters A 268, 298 (2000).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Laskin, Fractional quantum mechanics and l´ evy path integrals, Physics Letters A 268, 298 (2000)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.162822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 226fcd65-7495-4130-9b35-0acdaf09d533 · outbound

This paper cites Laskin, Fractional quantum mechanics, Physical Re- view E 62, 3135 (2000).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Laskin, Fractional quantum mechanics, Physical Re- view E 62, 3135 (2000)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.152941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d22e9e0d-d135-4e8c-99f4-92a336d3fd10 · outbound

This paper cites Laskin, Fractional schr¨ odinger equation, Physical Re- view E 66, 056108 (2002).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Laskin, Fractional schr¨ odinger equation, Physical Re- view E 66, 056108 (2002)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.143259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f6b06c58-ebb6-4e54-a6bf-2392543fb99f · outbound

This paper cites Stickler, Potential condensed-matter realization of space-fractional quantum mechanics: The one- dimensional l´ evy crystal, Physical Review E88, 012120 (2013).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Stickler, Potential condensed-matter realization of space-fractional quantum mechanics: The one- dimensional l´ evy crystal, Physical Review E88, 012120 (2013)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.133279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e3e92daa-4c3b-46d5-9333-4da9a7e21b36 · outbound

This paper cites Hasan and B.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Hasan and B

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.122786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 993948e0-7c74-4b93-9dc1-3d2c0b1f6ca9 · outbound

This paper cites Zhang, X.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Zhang, X

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.113330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e28e923f-656f-4f02-8f14-dc225b4c55bc · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.103696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 709dbea4-27b8-4344-b176-af38479e2967 · outbound

This paper cites Van Beijeren, Exact results for anomalous transport in one-dimensional hamiltonian systems, Physical review letters 108, 180601 (2012).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Van Beijeren, Exact results for anomalous transport in one-dimensional hamiltonian systems, Physical review letters 108, 180601 (2012)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.094268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4109c077-2930-451b-b85f-54c393ddeb31 · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.083813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation da485ce3-3927-41bf-aa31-f9fbcda4b5e5 · outbound

This paper cites Kundu, C.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Kundu, C

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.074159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4633d178-13d0-4985-985f-34f208b3ee89 · outbound

This paper cites Solomon, E.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Solomon, E

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.064303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2b7940d2-a530-4ccc-9bb8-156cc6435ec7 · outbound

This paper cites Pandey and S.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Pandey and S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.054656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cc02881a-ab87-42f8-90ea-3d22ef6cad98 · outbound

This paper cites Brockmann, L.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Brockmann, L

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.044455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4c65b976-c443-4de7-8671-c8fc5ec97da3 · outbound

This paper cites Benhamou, How many animals really do the l´ evy walk?, Ecology 88, 1962 (2007).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Benhamou, How many animals really do the l´ evy walk?, Ecology 88, 1962 (2007)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.035214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 969b8918-d4f3-4d4e-b0fe-ae3a96d22ee8 · outbound

This paper cites Murakami, C.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Murakami, C

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.024802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7eb91737-dc30-4150-b350-cf1ff1bbdb45 · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:21.014660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7b4f90cd-f08e-47c0-9033-dc534bbcb90f · outbound

This paper cites Yarahmadi and A.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Yarahmadi and A

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:21.004902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e160667e-4be2-49ca-a0a5-cbe6e4aca98b · outbound

This paper cites Iomin, Fractional schr¨ odinger equation in gravita- tional optics, Modern Physics Letters A 36, 2140003 (2021).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Iomin, Fractional schr¨ odinger equation in gravita- tional optics, Modern Physics Letters A 36, 2140003 (2021)

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:20.994598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fecc0071-b87d-4f94-b559-72e067f53aca · outbound

This paper cites Zeng and J.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Zeng and J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:20.984680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8822de03-aa76-4764-bf02-7b0c7169a76d · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:20.975183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c0168087-11e4-4249-a752-0eb4d6f78e29 · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:20.965275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a9573559-5e23-47e6-b12a-4455f65f42f5 · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:20.954937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 049efce5-7af1-498e-8943-22b6a825f4b7 · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:20.944584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f014560a-34a6-4a41-8903-5429943dac0e · outbound

This paper cites Privman, Finite size scaling and numerical simulation of statistical systems(World Scientific, 1990).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Privman, Finite size scaling and numerical simulation of statistical systems(World Scientific, 1990)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:26:20.934580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1191d945-d5d3-4bbd-8bf8-94c09d4104e4 · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:20.923683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 59863282-f87d-4957-bed3-5e375bdc3ebd · outbound

This paper cites an unresolved cited work.

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:26:20.912959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a77da8e6-0e79-403f-887b-1249f16138a9 · outbound

This paper cites Vojta, Quantum phase transitions, Reports on Progress in Physics 66, 2069 (2003).

Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model Vojta, Quantum phase transitions, Reports on Progress in Physics 66, 2069 (2003)

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-10T15:26:20.876594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.