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Paper Citation Record · LEDGER

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models

As of 15 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2607.16561.

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

pith.paper-citation-record.v1
2607.16561 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T20:52:23.948413Z

measured 42 of 42 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T00:30:42.741672Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation ee05e19c-a349-4ad1-b59e-813fa6c92bef · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 1

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source=pdf_text observed=2026-08-01T20:52:23.764069Z digest=sha256:22d987e00378d269c900407fca0f9d629108ac7df10ea1eefeddcef90a56a363

Observation 73a0da36-cfdc-413e-b651-152992e4ecba · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-01T20:52:23.770436Z digest=sha256:eff6c152b3cd63b93322895465541842096bc9f6f1e426100e2baa3d5f6aca82

Observation 02d9a149-b90b-43be-9748-4bf0768f0537 · outbound

This paper cites The spin attains a value that depends only on the state of its neighbors and not on its own present state.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models The spin attains a value that depends only on the state of its neighbors and not on its own present state

Reference 3

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source=pdf_text observed=2026-08-01T20:52:23.775636Z digest=sha256:195531e0abe91d44f60196a3f5045d84da60be20cf1137016ce1a5c15e3c5cc4

Observation a411a2f3-4483-414b-9b11-d73b7ebab72e · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-01T20:52:23.838714Z digest=sha256:72602ef9691680c288f3d600f6800fb53bae2d27e7e61cd9af0a03785e12d55e

Observation c9efaab4-d6e2-4eb9-92b3-5583da2e0efa · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-01T20:52:23.786312Z digest=sha256:9bd8ddd6f1e9196a863a00b76735cc483aee52ae4c813cc63f716421407c520f

Observation b77c2515-dbe0-4af6-b943-3490edbf6a42 · outbound

This paper cites 32 , we see thatq→1 in the limit ofβ→∞.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models 32 , we see thatq→1 in the limit ofβ→∞

Reference 6

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source=pdf_text observed=2026-08-01T20:52:23.790972Z digest=sha256:6632a74a0f0480d0142fa6f3cdf7f57af0fa825a6ee737fd5f82e773b177a65e

Observation c391d617-a958-42ce-8521-dde87283a478 · outbound

This paper cites The fixed points of f(m,q) for a given (K,∆,R) are given by the solutions of ∂f(m,q)/∂m=0 and ∂f(m,q)/∂q=0.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models The fixed points of f(m,q) for a given (K,∆,R) are given by the solutions of ∂f(m,q)/∂m=0 and ∂f(m,q)/∂q=0

Reference 7

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source=pdf_text observed=2026-08-01T20:52:23.796426Z digest=sha256:db48f2f857a06fb67a7f57497cfe795844c4d6637c48519d5e62c11402c2efaf

Observation 6d4adef9-2c81-4e27-9def-f41c1b7362ef · outbound

This paper cites It can take only two values : q=1 if ∆=K and q=∆/K if ∆>K.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models It can take only two values : q=1 if ∆=K and q=∆/K if ∆>K

Reference 8

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source=pdf_text observed=2026-08-01T20:52:23.802071Z digest=sha256:313acf1124e6aa5fe0ef9a3a26e542e7792c4cca8ea88160079dcccd63ace974

Observation 74996e78-d1a5-4190-acf3-94ec5049683a · outbound

This paper cites The energy per spin is given by: E=− m2 2 +∆q−Hm(59) For H=0 , in the case of equilibrium there is a first order transition at ∆=0.5 , where (m,q) changes from (±1,1) to (0,0).

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models The energy per spin is given by: E=− m2 2 +∆q−Hm(59) For H=0 , in the case of equilibrium there is a first order transition at ∆=0.5 , where (m,q) changes from (±1,1) to (0,0)

Reference 9

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source=pdf_text observed=2026-08-01T20:52:23.806677Z digest=sha256:161c1a62e099ba71d26c9a5cd99753b239478638a31695ba25343f96d496ebab

Observation 202a8615-6ef7-44e6-a40c-25f5ef26f483 · outbound

This paper cites But the values of the coercive field where the phase transition occurs as a function of H can be obtained by extending the treatment of Sec.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models But the values of the coercive field where the phase transition occurs as a function of H can be obtained by extending the treatment of Sec

Reference 10

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source=pdf_text observed=2026-08-01T20:52:23.811023Z digest=sha256:5004e58fb23afd7edebe1ba13ebb950e5b05148e156e3859e2651f55009f86ab

Observation ab8c7d37-5ba9-4275-b05c-9b0ed7ef953f · outbound

This paper cites The energy is given by E=− m2 2 − K 2 q2 +∆q−Hm(64) 16 Since|m| ≤q, for a givenq,Eis minimum when|m|=q.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models The energy is given by E=− m2 2 − K 2 q2 +∆q−Hm(64) 16 Since|m| ≤q, for a givenq,Eis minimum when|m|=q

Reference 11

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source=pdf_text observed=2026-08-01T20:52:23.815340Z digest=sha256:7aa4b3d75c5d5a781af711efaf10c1f16365a9bd77eea04a5459d428371f7a60

Observation d374cd03-9002-47df-b0f1-e9df8566541c · outbound

This paper cites The critical value of the coercive field for a given R can be obtained by solving the Eqs.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models The critical value of the coercive field for a given R can be obtained by solving the Eqs

Reference 12

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source=pdf_text observed=2026-08-01T20:52:23.819925Z digest=sha256:0e3f87b0609e750b2f3643f5680900adeda0a554d32ba9a3069a0004808e898b

Observation e7681714-4228-43ab-bc7b-a9a12e492421 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-01T20:52:23.824640Z digest=sha256:8e490e7bee6317bddbfb2d303e05776843aa889ca3a4b83781b135c4d259e135

Observation 1d14c6af-65ab-4018-8d7d-cd17976de06d · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-01T20:52:23.829272Z digest=sha256:6aa319aa584f26a03052efd43e69ca5ca457d9a67cb82b6824e99dc55380acff

Observation c61b4ad6-4fbf-4736-b19f-eefe9670774a · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-01T20:52:23.833725Z digest=sha256:a89e8ea9ce9996f1a115e6ae74861b4667aaff8871ac42d91509c9637c1cb7c5

Observation 2656fb1c-679e-4bef-93f2-03964e24689d · outbound

This paper cites Sarkar, and B.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Sarkar, and B

Reference 16

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Observation 7fe99c71-22ce-4f32-872c-2f3e85c034b7 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-01T20:52:23.843208Z digest=sha256:388c089175c248ddbdfe5093230bc147cd0d899304e99f193a4013b99159750e

Observation fbd45d2c-25bc-4d57-9c51-db6a95b31439 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-01T20:52:23.847533Z digest=sha256:ffdd80c04ba67a3f6686798872cdf3654c38fd37ff7d7e16670594e46a1772cb

Observation 01a4f2d6-93dc-40d3-9820-271a34891678 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-01T20:52:23.852504Z digest=sha256:7929ab968e2f186ad1275c59b84f9a92746ccb7f188e58353fc15e25ee29f43e

Observation 1621ec3a-35d3-4ad5-ba77-d952e3e553a5 · outbound

This paper cites Blume, V.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Blume, V

Reference 20

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source=pdf_text observed=2026-08-01T20:52:23.856755Z digest=sha256:e971e92b88fab267d51427860f9ada400db46598387794c34f58971746cb3b74

Observation a03dbab0-0954-4333-adbd-a5c184856ebd · outbound

This paper cites Metamagnet.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Metamagnet

Reference 21

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source=pdf_text observed=2026-08-01T20:52:23.861185Z digest=sha256:81088e16171a7748ebcc4a5ddd7fb2fb3da8677245a1a07a27f3b45f35bd868b

Observation fcf229c2-1abf-41a6-b4e0-0a426ec84e59 · outbound

This paper cites Goicoechea, and J.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Goicoechea, and J

Reference 22

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source=pdf_text observed=2026-08-01T20:52:23.865237Z digest=sha256:cf2bbbd371120c462a834b255cfa6305b2a169366bd2bc3f3795f9723c080a90

Observation a2f23795-497e-49c7-bfe0-d4fb43c9df5a · outbound

This paper cites Modelling Avalanches in Martensites.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Modelling Avalanches in Martensites

Reference 23

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source=pdf_text observed=2026-08-01T20:52:23.869246Z digest=sha256:c59e1506ea2db0d992f86461986a48304625180498e9a8a1577801780511cfaf

Observation f311acc6-f289-4818-ba9e-dc5a8146c6d1 · outbound

This paper cites Vasseur, and T.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Vasseur, and T

Reference 24

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source=pdf_text observed=2026-08-01T20:52:23.873869Z digest=sha256:2363223b69f0aaf358d5898b70aa5393cd86d7a4ae9b8baf2342eff0f0fc68dd

Observation b3c87306-0c0c-4506-8bf2-7788a5827e21 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-01T20:52:23.877948Z digest=sha256:36b443629eb4fe793a5e639a66d632f045fabc955f2bcfa307fc8c5f2f8f25f7

Observation 37ec4a6f-f5bf-4b3a-bae6-8c5b25bf48dc · outbound

This paper cites Sethna, K.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Sethna, K

Reference 26

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source=pdf_text observed=2026-08-01T20:52:23.882093Z digest=sha256:bed82f811587734b9c6c234ef60dc89ffb3da66af73d7536c7655b5e38800a0b

Observation f0e292d4-3616-46bb-8980-6fb90b89c00a · outbound

This paper cites Vives, J.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Vives, J

Reference 27

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source=pdf_text observed=2026-08-01T20:52:23.886524Z digest=sha256:96e592ece3379d2ad3aa6f0a6b02425bab645441c1e78dacd2bbec8fd3eae939

Observation 4598a5d0-1a53-441b-a914-436d95da2046 · outbound

This paper cites 6 Let us first calculate the rate functionR(x 1,x 2).

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models 6 Let us first calculate the rate functionR(x 1,x 2)

Reference 28

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source=pdf_text observed=2026-08-01T20:52:23.781149Z digest=sha256:0c90b781d3ce3e8efc828cd9c40243e93a6eb13fa8da40c96e40feab211c04fa

Observation 193981b7-a227-4605-b363-5b4aa4cb1ab1 · outbound

This paper cites Gutenberg and C.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Gutenberg and C

Reference 29

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source=pdf_text observed=2026-08-01T20:52:23.895377Z digest=sha256:52c3da2723912bbaaece6bedbc64d50062c2f6ba850b24198071527f3ba2c343

Observation 9ad7004f-efc0-4b0b-9c24-2e1f510c5604 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 30

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source=pdf_text observed=2026-08-01T20:52:23.899640Z digest=sha256:7c186a3071411da7cc26530de2510d4febca73a24e3fd2fb9ccb67fa4ebe6deb

Observation 9ede17fe-3bed-4d78-b8b9-f34fd14cef11 · outbound

This paper cites Bellaiche1, Pinched hysteresis loop in defect-free ferroelectric materials, Phys.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Bellaiche1, Pinched hysteresis loop in defect-free ferroelectric materials, Phys

Reference 31

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source=pdf_text observed=2026-08-01T20:52:23.904284Z digest=sha256:9d622f9d03d1b46f72e18be740ba35bd91d06114c41fc762190f1252b69baf56

Observation 7799c22e-862c-4ea8-a81e-84fd0bcbf5bf · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 32

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source=pdf_text observed=2026-08-01T20:52:23.908323Z digest=sha256:978ea478e8b88030df961ce6df461175da7ef46d62efcc4397716b8d856c12d2

Observation 14e580d1-c030-4c73-b4e6-5dba8d757224 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 33

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source=pdf_text observed=2026-08-01T20:52:23.912733Z digest=sha256:e95afca0a1e753d19ff364589826354069678c67ede760f6fe7485b20e9a85df

Observation 07698a3f-2e48-4749-a70d-98c7c6d79eb0 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 34

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source=pdf_text observed=2026-08-01T20:52:23.917032Z digest=sha256:d53d82d7a54d7cbf7d804f8d1ef58e0c5af11c88ae042d2fc4e8f948f4b12aec

Observation 51c3810a-c7ab-42d6-a5b9-f8372a7ba217 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 35

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source=pdf_text observed=2026-08-01T20:52:23.921328Z digest=sha256:d0102c38a5a2615d857721d491131f8644d5ba2a13772209cf08b27233b5f007

Observation 45e705d8-8720-47ea-8e43-f7e0e8edf7e0 · outbound

This paper cites Derrida, Dynamical phase transition in non-symmetric spin glasses, J Phys.A:Math.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Derrida, Dynamical phase transition in non-symmetric spin glasses, J Phys.A:Math

Reference 36

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unresolved
no resolver link, observed 2026-08-01T20:52:23.925601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:52:23.925601Z digest=sha256:d77ef35a09763f7d9316e45790bdfca57c99671f315d948a792740f58bb4bead

Observation 865b4a10-3b8b-476e-bbe4-5b1c321a894b · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-01T20:52:23.930818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:52:23.930818Z digest=sha256:2ea363e21eda1acb9fdc14dcb9e8f1605e1475e1c53feec83810ac08c5fd67c6

Observation 768675c2-41a7-47f7-9f8b-c89105324eb0 · outbound

This paper cites Dembo and O.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Dembo and O

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-01T20:52:23.935520Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T20:52:23.935520Z digest=sha256:5d21130b990a801c38cf7398d1c1eb355bb9afccb8587ca8fd680fe74c8710c4

Observation ba4492ff-6e13-4d8f-a386-f72c1468815d · outbound

This paper cites Touchette, Physica Reports478, 1 (2009).

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Touchette, Physica Reports478, 1 (2009)

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-01T20:52:23.939743Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T20:52:23.939743Z digest=sha256:cfe49cd12cf39e3d6a4f861ecdcd19ba3e6d37de3fd73f112904bc5265c8558b

Observation 10558519-030b-4ea5-896a-86099b84b8d1 · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-01T20:52:23.944193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:52:23.944193Z digest=sha256:a67c16d2f85bb315508c9d022eaa6daa12acc9b7a9eff82b2d748bd0ba921687

Observation e64bbb81-e8d9-41d4-82f7-9487c6c3908c · outbound

This paper cites an unresolved cited work.

Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-01T20:52:23.948413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:52:23.948413Z digest=sha256:1f16d335e36900c20a7a728337b0834bfcac018d36a117017c687f0f681a1725

Pith citing papers

Observation 7f945c3f-e0ca-4d6e-8278-06de02931b1a · inbound

Disorder induced time crystal in athermal random field Ising model with non-reciprocal interactions cites this paper.

Disorder induced time crystal in athermal random field Ising model with non-reciprocal interactions Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Grifitths models

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-03T00:30:42.741672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:30:42.741672Z digest=sha256:699b7a42c9555445ee75b2aa4acf56002e743ae34299118d481f9a3f4b5cc915