Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:48:48.861667Z
Paper Citation Record · LEDGER
On loops in the complement to dimers
As of 15 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2412.11708.
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 2026-08-15T06:32:42.880941+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
Reference resolution
39 of 39 outbound references displayed
- verified exact3
- verified fuzzy17
- unresolved19
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7b98218b-35c6-401f-adac-366435a6141a · outbound
This paper cites Aizenman, D.
On loops in the complement to dimers Aizenman, D
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:50.714793Z
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 2f80a0bb-b7b9-471d-b6f8-7b05e7191cc4 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:50.692346Z
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 2f293bd9-5a0d-476c-b10a-36babdf78e93 · outbound
This paper cites Aizenman, Translation invariance and instability of phase coexistence in the two-dimensional I sing system , Comm.
On loops in the complement to dimers Aizenman, Translation invariance and instability of phase coexistence in the two-dimensional I sing system , Comm
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:50.640840Z
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 af483b50-01df-4b35-abcb-d3ccef603986 · outbound
This paper cites 4, 2049--2086.
On loops in the complement to dimers 4, 2049--2086
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:50.503384Z
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 ca1e0c95-9452-41b8-822c-12e99968899b · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:50.357880Z
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 62d747e7-cfb0-49d6-91da-82802b6fd631 · outbound
This paper cites Bl \"o te and Bernard Nienhuis, The phase diagram of the O (n) model , Physica A: Statistical Mechanics and its Applications 160 (1989), no.
On loops in the complement to dimers Bl \"o te and Bernard Nienhuis, The phase diagram of the O (n) model , Physica A: Statistical Mechanics and its Applications 160 (1989), no
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:50.337728Z
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 c1b7a984-c8ec-4d66-b5ea-7d71e89c54a1 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:48:47.932437Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b970ba08-7ffb-40db-972f-2a70aba144cd · outbound
This paper cites Theory Related Fields 158 (2014), no.
On loops in the complement to dimers Theory Related Fields 158 (2014), no
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:50.306002Z
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 32910be4-6ead-4f4c-b020-77d0aec98e82 · outbound
This paper cites Macroscopic loops in the loop O(n) model via the XOR trick.
On loops in the complement to dimers Macroscopic loops in the loop O(n) model via the XOR trick
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T14:48:49.097347Z
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 b514fcf8-b658-40bf-9453-14d575763406 · outbound
This paper cites 2, 297--346.
On loops in the complement to dimers 2, 297--346
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:50.287208Z
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 c5850843-7bd6-4867-9072-a91c94ecd3b1 · outbound
This paper cites Newman, Two-dimensional critical percolation: the full scaling limit, Comm.
On loops in the complement to dimers Newman, Two-dimensional critical percolation: the full scaling limit, Comm
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:50.260977Z
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 e38263a9-77d7-45d1-8af1-0c2628ab7e33 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:48:47.961310Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77497990-ab57-44c9-b5cc-dc8b52a8d644 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:50.213810Z
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 64a0c52b-9678-466d-bb5e-16e73ca0bdd6 · outbound
This paper cites Duminil-Copin and V.
On loops in the complement to dimers Duminil-Copin and V
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:50.059811Z
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 175918a4-dad3-4038-a65b-8d7ad2f52d14 · outbound
This paper cites Fisher, On the dimer solution of planar I sing models , Journal of Math.
On loops in the complement to dimers Fisher, On the dimer solution of planar I sing models , Journal of Math
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:49.985155Z
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 20db707a-38e5-4952-a7e2-25dd3eba9131 · outbound
This paper cites Delocalisation and continuity in 2D: loop O(2), six-vertex, and random-cluster models.
On loops in the complement to dimers Delocalisation and continuity in 2D: loop O(2), six-vertex, and random-cluster models
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:48:48.145225Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 68855bf4-cc6d-4fe6-82a4-4c247f191bc2 · outbound
This paper cites 2, 209--256.
On loops in the complement to dimers 2, 209--256
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:48:48.237107Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 893d734c-1050-45db-b868-101703fa350e · outbound
This paper cites Grimmett, Percolation, second ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.
On loops in the complement to dimers Grimmett, Percolation, second ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:49.947280Z
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 05d69f49-0d9f-49bc-a51c-2795fd956c01 · outbound
This paper cites Higuchi, On the absence of non-translation invariant G ibbs states for the two-dimensional I sing model , Random fields, V ol.
On loops in the complement to dimers Higuchi, On the absence of non-translation invariant G ibbs states for the two-dimensional I sing model , Random fields, V ol
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:49.920102Z
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 5f0f016e-832f-4887-a0cc-993c2738c383 · outbound
This paper cites Local dimer dynamics in higher dimensions.
On loops in the complement to dimers Local dimer dynamics in higher dimensions
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:48:48.309495Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e90cccd-89c1-411d-a6eb-1be5d2a6000c · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.895813Z
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 d1a52764-6a5c-4e61-acd2-84dcddfa5391 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.743206Z
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 47cd5882-e2b6-4903-b0d2-8e8de7024bf0 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.635476Z
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 00f05181-5b76-43ad-babd-c6ec48adef36 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.610932Z
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 7a6ed0ed-041f-403c-bd47-9f2e0096e545 · outbound
This paper cites Kenyon, The L aplacian and D irac operators on critical planar graphs , Invent.
On loops in the complement to dimers Kenyon, The L aplacian and D irac operators on critical planar graphs , Invent
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:49.581414Z
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 fc48b5ad-a347-43b2-b0c8-167d02bf58c0 · outbound
This paper cites Ser., vol.
On loops in the complement to dimers Ser., vol
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:49.552816Z
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 45cdd1a4-f37d-4693-94b3-62e693cb7060 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.528379Z
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 4547a972-fe7e-4e6d-804d-ceb26a80ee2f · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.507680Z
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 45d024cc-67d2-42ae-a5db-92dfbaaf93a1 · outbound
This paper cites Percolation and $O(1)$ loop model.
On loops in the complement to dimers Percolation and $O(1)$ loop model
Reference 29
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T14:48:48.954035Z
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 84c64b26-4f9a-48b8-8c51-7f72a8d9af04 · outbound
This paper cites 3-4, 1243--1264, http://doi.org/10.1007/s00440\.
On loops in the complement to dimers 3-4, 1243--1264, http://doi.org/10.1007/s00440\
Reference 30
- Resolution
- verified exact
- doi, observed 2026-08-11T14:48:48.913502Z
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 f13e8ac6-781f-4f6e-98ef-eba18fa1ecd5 · outbound
This paper cites Newman, Ising models and dependent percolation, Topics in statistical dependence ( S omerset, PA , 1987), IMS Lecture Notes Monogr.
On loops in the complement to dimers Newman, Ising models and dependent percolation, Topics in statistical dependence ( S omerset, PA , 1987), IMS Lecture Notes Monogr
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:49.486524Z
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 e5412b90-23aa-41b9-a902-000232739e78 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.394684Z
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 e62575ab-f9c3-4c88-80f8-bd82fcf0fc37 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.254287Z
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 fe93a595-fd3f-433c-bfb4-9e38d333dc89 · outbound
This paper cites 304, vi+175.
On loops in the complement to dimers 304, vi+175
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:49.219455Z
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 07648332-683c-4160-b972-082b1df4fead · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.198414Z
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 7fd749e1-e3eb-4346-89ad-98783856a8cd · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.179285Z
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 a68f9061-cbb0-4fab-8b5e-9385d00dae87 · outbound
This paper cites 2, 239--252.
On loops in the complement to dimers 2, 239--252
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:49.159982Z
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 c8f4a770-2df5-4010-b6be-40dd5ddafd42 · outbound
This paper cites an unresolved cited work.
On loops in the complement to dimers Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:48:49.138765Z
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 be748f73-e43a-44d2-ba7d-8a2c982b2b79 · outbound
This paper cites Thurston, Conway's tiling groups, Am.
On loops in the complement to dimers Thurston, Conway's tiling groups, Am
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:48:49.118126Z
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.
Pith citing papers
No inbound Pith citation observations are available.