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Paper Citation Record · LEDGER

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs

As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.08330.

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

pith.paper-citation-record.v1
2607.08330 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T09:17:35.378092Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

34 of 34 outbound references displayed

  • verified exact24
  • verified fuzzy4
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5f8deb04-a788-44e3-a834-3e32dfd4d306 · outbound

This paper cites and Bray, A.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Bray, A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T09:27:00.455420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:69625bd4c5ef8de90d0b96b62df37e6268073f3a28c92bba87ffabba293f87dc

Observation 6c624ff4-8ff1-4df6-a15d-325a755a43eb · outbound

This paper cites Stopping Times and Tightness.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Stopping Times and Tightness

Reference 2

Resolution
metadata mismatch
arxiv_id, observed 2026-07-10T09:26:59.647135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:a3e34664d113aa6cbff5abdc38f527db966ef0cf0b34265596a491858f4f1bf3

Observation a3b44513-1dc5-4cef-9eef-e399e3aeb677 · outbound

This paper cites Stopping Times and Tightness.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Stopping Times and Tightness

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-07-10T09:26:59.656105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:4ae44832bf15cb29c73654be5d3e3f991d173aaf0383f401116f74e3a9d104a2

Observation 48cd89e1-a263-4e2b-8459-48c3610d4dc7 · outbound

This paper cites Uniqueness and non-uniqueness in percolation theory , JOURNAL =.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Uniqueness and non-uniqueness in percolation theory , JOURNAL =

Reference 4

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.645184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:276b02638cd7cb9800f054004301925a51373e6f10b1485a509ec036f0aac5b9

Observation 0c9d6799-9c38-4c54-9e9e-e574c05f529b · outbound

This paper cites Liggett.Interacting particle systems, volume 276 ofGrundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Liggett.Interacting particle systems, volume 276 ofGrundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 5

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.640515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:7e700102bc280d45371f09433494898d1534dfcf5026d879bdc48bb6553f4a07

Observation efe4b98a-ff29-4c2a-b00d-6ffb275990b7 · outbound

This paper cites and Newman, C.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Newman, C

Reference 6

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.652122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:77b209319f9d77309470577e77c4e56741c7dbeb9a6f4f6a981692061715bb28

Observation 23114a56-d002-4f22-b3f3-f7b0f804ff80 · outbound

This paper cites and Newman, C.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Newman, C

Reference 7

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.648739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:0a8f245ee0a0e1f8fedb6771b3de027acafcbe5c334919a620b90e4bcc28043b

Observation dbefaf1b-65bc-43dc-a8c4-3d8e8642735e · outbound

This paper cites and Keane, M.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Keane, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T09:27:00.453541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:73777202f100d8b3f14035c991acb877bf0707d4b8cd6732e7f91b0192f9eacc

Observation 5553d6cd-a235-4372-8c94-72817fc6baf1 · outbound

This paper cites , TITLE =.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs , TITLE =

Reference 9

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.641242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:edd6b35da2b68d70ac2ef41cb8c4de17a4787940d0729f25a5f0f22a3fb6c038

Observation 15d8a3f3-e4c3-4713-9bc6-65d8ebc7cc7a · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.659890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:8259b878f80ba5bffe11a1918ede2da6db1a375cc97d3e0a73eab89357c52988

Observation 21924b9f-e991-4e75-8080-8ddd4e9d152f · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.629685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:6892706c9fc04c89aff71efbcb032ffd685ea47124b69e47c7218fd812e97300

Observation 9b1534b1-4660-40b9-80fd-cff3aaa23f70 · outbound

This paper cites Springer, doi: 10.1007/978-3-662-53622-3.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Springer, doi: 10.1007/978-3-662-53622-3

Reference 12

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.656655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:7d37235d3646e99f038f2ff0885c16cae8d015334662019dcf166464103890ad

Observation 5c106902-b009-4f59-b29b-ceaf28cbbc6d · outbound

This paper cites and Eckner, S.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Eckner, S

Reference 13

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.636625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:b3845ba88c29a7558590a66db3b6a62569295e8135aae2eb6a855c0749e9381c

Observation b7af21c7-744c-49b4-a543-58322e84834f · outbound

This paper cites Electron.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Electron

Reference 14

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.622131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:f0f9b4137afc14c37a8e2de512edc6cb5493d9fb78baa151aaf3854b02fe1ac5

Observation fcebe31b-577e-48ff-ab13-5a0c74cbf551 · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.635089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:534e14fcf44fade2e875b3d88e87427e921c7a28ba3e859a8a3fe1f8b9c166a5

Observation f7689496-729e-44a3-92fd-f53b3c83de82 · outbound

This paper cites Madras and D.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Madras and D

Reference 16

Resolution
metadata mismatch
arxiv_id, observed 2026-07-10T09:26:59.647911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:5dfa061f83a5600e9d944763b992ce5d06c6d169bf934ac8cbf6ca4fa51eb807

Observation 73889a2b-27f1-49b5-ae4b-d204be90ae66 · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 17

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.629028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:0f242036e6fbe676cfe5d66564625f299a9d05351e1373bff571001f2f8e6b06

Observation 83a89417-ae87-4518-945d-c3bf236860a5 · outbound

This paper cites Lectures on probability theory and statistics (.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Lectures on probability theory and statistics (

Reference 18

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.619074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:4b39278d87299946b59ae66feb5a859e87de50fddf18737e93a5c66ec162e1f0

Observation 3b0165de-0e2c-4126-b7d1-2396766f7548 · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 19

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.624914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:f8b385de0c9c663c538403ad706ed22843a1254a4fb71709932817bc0960056e

Observation 81c438fa-5ca3-48c5-bb29-dcd64cf23980 · outbound

This paper cites and Sidoravicius, Vladas , TITLE =.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Sidoravicius, Vladas , TITLE =

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T09:27:00.457238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:ca4f237978fef70fa2a10bb65214b273af08493176b83a5bfb08fb507f68a53f

Observation c7d753d8-9529-4eff-83bf-c49a47f59d64 · outbound

This paper cites and Sidoravicius, Vladas , TITLE =.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Sidoravicius, Vladas , TITLE =

Reference 21

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.644179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:c28fa80b928ac530af0b3ef17ce3e0d933123cee997d7a86ff98e2d8190e4686

Observation 8446babb-1870-4c58-b887-210b93711519 · outbound

This paper cites 1991 , PAGES =.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs 1991 , PAGES =

Reference 22

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.633262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:f39454913f09df7fe99b48de837348d3c849559fb10cae6e826b0c44e779038d

Observation 8e5c0fd1-f3e1-40a0-812d-24915dc7c407 · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-07-10T09:27:00.463050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:58284ed6ca274aa1ef40c68046912a8c0a470ebcaf25034c0f273f2358c418ea

Observation cfc0a081-eaa5-4049-b47b-b52380b1dc2e · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 24

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.658336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:e02f7ca4ac9431d1f62ec0f715805eb2921b3f2dd1361f2249837eb91639d675

Observation 4e75c82c-e9c4-498c-95bd-cef36ce97fdb · outbound

This paper cites and Schramm, O.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Schramm, O

Reference 25

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.634900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:d4719165cb0f04530547b96feccd96c333e023cb0622ea00c4bddaa2e149e301

Observation 124ea7ba-2a91-4a20-bbd7-6387e38795e5 · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.650477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:fce1c14a99145834d920020d0a4b905c26561a33e05ba1e833a1a88231c4d8da

Observation 6d1f78f4-d3a2-4d56-8480-0211312e044b · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-07-10T09:27:00.459165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:39389946b2412d29f53647a512cd5907ec9d2c92e94abadabe1258666df81b12

Observation 5b901e99-f199-4a0e-b11b-252c62e5d10d · outbound

This paper cites , TITLE =.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs , TITLE =

Reference 28

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.633443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:c94bd1aa4e69c49eb6acdc3e6855b141bd2b5deb0f9c46fdd2c1e0086b6ea175

Observation f872d917-f146-4a20-90ef-4611af9d9fc8 · outbound

This paper cites and Stein, Daniel L.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Stein, Daniel L

Reference 29

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.642291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:9a7242e96f77fa47363a41341b56ccaf7b5020a959a25456210c4a83a619b028

Observation df705b73-b65c-4e1a-898c-3b19b5221b57 · outbound

This paper cites and Newman, Charles M.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs and Newman, Charles M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T09:27:00.460990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:728fbd9b36f1d2d9776fc9f0a621649dd83ff99523d78d313622b7c54aa32474

Observation 8e2714e3-f50c-4af5-a98b-d15f1c555055 · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 31

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.609281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:4089e8cb23e9c7076aaab99df9ce428329ef4dad6bfae75ecb3c66a7dbc677d3

Observation 164d7420-caa2-4391-8912-c0ebb794274f · outbound

This paper cites Freedman, Another note on the borel-cantelli lemma and the strong law, with the poisson approxi- mation as a by-product, Annals of Probability 1 (6) (1973) 910–925.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Freedman, Another note on the borel-cantelli lemma and the strong law, with the poisson approxi- mation as a by-product, Annals of Probability 1 (6) (1973) 910–925

Reference 32

Resolution
metadata mismatch
arxiv_id, observed 2026-07-10T09:26:59.659370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:078fd39c526247575fad6f04284c999655092a52269471a13255ca6713a082af

Observation d1eb2cca-eb75-4369-a893-aa6feed8573c · outbound

This paper cites an unresolved cited work.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs Unresolved cited work

Reference 33

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.627536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:b57cccf5f35664569e88484f9b2c1b374e8b95655343e67ad8c6a0d4da0bc127

Observation b26ce51d-ea24-4861-b9e4-548bf59348d9 · outbound

This paper cites 2017 , PAGES =.

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs 2017 , PAGES =

Reference 34

Resolution
verified exact
doi, observed 2026-07-10T09:26:59.655008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T09:17:35.378092Z digest=sha256:d5ed4f13aad5c8cc59d85df1684b0de213ffd6d5b74fe9879c5ba7b2c9508147

Pith citing papers

No inbound Pith citation observations are available.