Paper Citation Record · LEDGER

The Planar Lattice Two-Neighbor Graph Percolates

As of 11 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2412.20781.

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

pith.paper-citation-record.v1
2412.20781 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:21:24.410031Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T04:33:20.248950Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact3
verified fuzzy29
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 91818181-74e0-4835-86c6-d3b2f92ac0db · outbound

This paper cites Aizenman and G.

The Planar Lattice Two-Neighbor Graph Percolates Aizenman and G

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.963268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6b5ad699-14ab-4854-b96b-5e77cd7104d5 · outbound

This paper cites Balister and B.

The Planar Lattice Two-Neighbor Graph Percolates Balister and B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.949456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6ba70dd5-1ede-4ffa-be12-8c90d6feeaec · outbound

This paper cites Essential enhancements revisited.

The Planar Lattice Two-Neighbor Graph Percolates Essential enhancements revisited

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T23:21:24.244829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc0e434b-9488-418e-9d3e-e804f6dfbc6f · outbound

This paper cites Beekenkamp, Sharpness of the phase transition for the orthant model, Math.

The Planar Lattice Two-Neighbor Graph Percolates Beekenkamp, Sharpness of the phase transition for the orthant model, Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.935663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 091b9265-c0da-48b4-80a4-569b839e939c · outbound

This paper cites Chemical distance for the half-orthant model.

The Planar Lattice Two-Neighbor Graph Percolates Chemical distance for the half-orthant model

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:21:24.497019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b63104c3-c541-4711-b833-2c97588cea99 · outbound

This paper cites Bollob \'a s and O.

The Planar Lattice Two-Neighbor Graph Percolates Bollob \'a s and O

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.920420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7e6e7d4f-ac7c-4d95-9e45-1193cd6688a2 · outbound

This paper cites de Lima, S.

The Planar Lattice Two-Neighbor Graph Percolates de Lima, S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.906382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 79821088-308d-4582-b72d-8560849bec56 · outbound

This paper cites de Lima, R.

The Planar Lattice Two-Neighbor Graph Percolates de Lima, R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.891916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d6aafc7a-7b48-4296-93b7-8af747a2c694 · outbound

This paper cites Friedli, D.

The Planar Lattice Two-Neighbor Graph Percolates Friedli, D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.878018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 50a97da3-9fd4-4170-b967-84b425aecfff · outbound

This paper cites Grimmett and S.

The Planar Lattice Two-Neighbor Graph Percolates Grimmett and S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.864414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7999546c-1b05-4bd4-8372-71851274eeba · outbound

This paper cites Grimmett and Z.

The Planar Lattice Two-Neighbor Graph Percolates Grimmett and Z

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.850803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 91d261d2-536c-4b52-95f0-cfb5109baffe · outbound

This paper cites Gou \'e r \'e and R.

The Planar Lattice Two-Neighbor Graph Percolates Gou \'e r \'e and R

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.836258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5c677f38-42ee-46f2-ab8a-3dcc23d70d78 · outbound

This paper cites Gou \'e r \'e , Percolation in a multiscale B oolean model , ALEA Lat.

The Planar Lattice Two-Neighbor Graph Percolates Gou \'e r \'e , Percolation in a multiscale B oolean model , ALEA Lat

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.822042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 47109d11-8ef2-4678-a562-e25c051eb5b3 · outbound

This paper cites Ghosh and Y.

The Planar Lattice Two-Neighbor Graph Percolates Ghosh and Y

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.807467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bf9d6608-28e3-4c9f-9f45-1263d2d7af67 · outbound

This paper cites Grimmett, Percolation, Springer, 1999.

The Planar Lattice Two-Neighbor Graph Percolates Grimmett, Percolation, Springer, 1999

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.793266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 63f5ca9b-cc38-48ea-87ba-82239d3ece8c · outbound

This paper cites Algorithms.

The Planar Lattice Two-Neighbor Graph Percolates Algorithms

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.778758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cd6f6ae5-f000-4ce5-95f4-9fdcff242477 · outbound

This paper cites 333, Springer, 2006.

The Planar Lattice Two-Neighbor Graph Percolates 333, Springer, 2006

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.764189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d07c8a50-025e-4ef8-8198-0e5dda775d6b · outbound

This paper cites Holroyd and Z.

The Planar Lattice Two-Neighbor Graph Percolates Holroyd and Z

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.750791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d31808f1-feac-404c-8e29-bbc00bed2d1c · outbound

This paper cites a ggstr \.

The Planar Lattice Two-Neighbor Graph Percolates a ggstr \

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.737064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5e1b40ad-e8b2-40b5-8014-bc7ab3b1517c · outbound

This paper cites Holroyd and T.

The Planar Lattice Two-Neighbor Graph Percolates Holroyd and T

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.722715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b69de13c-c5d7-4e68-8d92-07aa02fe8581 · outbound

This paper cites Holmes and Th.

The Planar Lattice Two-Neighbor Graph Percolates Holmes and Th

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.709207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e130d92b-3820-463a-b757-a52333e4bc76 · outbound

This paper cites an unresolved cited work.

The Planar Lattice Two-Neighbor Graph Percolates Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:21:24.695368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 45cf08a8-a545-49ff-a6b7-f58230edea67 · outbound

This paper cites an unresolved cited work.

The Planar Lattice Two-Neighbor Graph Percolates Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:21:24.681281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 338b589e-54e5-4ba0-b2f4-25e07ff01b79 · outbound

This paper cites Iliev, E.

The Planar Lattice Two-Neighbor Graph Percolates Iliev, E

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.667176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0c04987f-07dc-4004-833b-5c7513e0e147 · outbound

This paper cites Jacobsen, Critical points of P otts and O(N) models from eigenvalue identities in periodic temperley--lieb algebras , J.

The Planar Lattice Two-Neighbor Graph Percolates Jacobsen, Critical points of P otts and O(N) models from eigenvalue identities in periodic temperley--lieb algebras , J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.652755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 31aed12c-7a85-4b06-bee8-29a7a2747313 · outbound

This paper cites Percolation in lattice $k$-neighbor graphs.

The Planar Lattice Two-Neighbor Graph Percolates Percolation in lattice $k$-neighbor graphs

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:21:24.474945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f6db3711-4fe0-48a6-ab82-144a4e999db8 · outbound

This paper cites Kenyon, A.

The Planar Lattice Two-Neighbor Graph Percolates Kenyon, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.638084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5d134cf5-ba30-45ac-920b-b0c7ffbd0673 · outbound

This paper cites 1, 71--95.

The Planar Lattice Two-Neighbor Graph Percolates 1, 71--95

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.623065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2dd80885-3f5b-4c00-a741-08cf2045ce62 · outbound

This paper cites Newman and C.

The Planar Lattice Two-Neighbor Graph Percolates Newman and C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.607286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c8a7e202-6980-4e44-9c82-5a89e8a61fee · outbound

This paper cites Rigidity and tolerance for perturbed lattices.

The Planar Lattice Two-Neighbor Graph Percolates Rigidity and tolerance for perturbed lattices

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:21:24.453162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 16429b1e-21bb-4131-b8df-0169bc77d9d4 · outbound

This paper cites P \"o nitz and P.

The Planar Lattice Two-Neighbor Graph Percolates P \"o nitz and P

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.591185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 618b4cbc-59ca-4e41-b0c1-1ea1ae8ebdcf · outbound

This paper cites Quintanilla and R.

The Planar Lattice Two-Neighbor Graph Percolates Quintanilla and R

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.576555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5f7bd02b-a96c-48aa-ada9-424e6d6ce418 · outbound

This paper cites van den Berg and A.

The Planar Lattice Two-Neighbor Graph Percolates van den Berg and A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.561289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3577f91d-1515-4b5b-a015-a5ea8bb6fa81 · outbound

This paper cites Wierman, AB percolation: a brief survey , Banach Cent.

The Planar Lattice Two-Neighbor Graph Percolates Wierman, AB percolation: a brief survey , Banach Cent

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.544958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ffa9a270-96f0-4caf-9b50-8afe6046ba3c · outbound

This paper cites Zhang, A note on inhomogeneous percolation, Ann.

The Planar Lattice Two-Neighbor Graph Percolates Zhang, A note on inhomogeneous percolation, Ann

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:21:24.529518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 428cdba4-7476-4e49-b5d8-8da7b149c2e0 · inbound

Strongly-connected percolation on directed lattices cites this paper.

Strongly-connected percolation on directed lattices The Planar Lattice Two-Neighbor Graph Percolates

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-31T04:33:20.248950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.