Paper Citation Record · LEDGER

The limiting law of the Discrete Gaussian level lines

As of 18 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2509.04333.

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

pith.paper-citation-record.v1
2509.04333 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:19:43.851473Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:57:20.253477Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T15:37:06.788414Z

Reference resolution

43 of 43 outbound references displayed

verified exact0
verified fuzzy32
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b4b61910-3e5f-4448-bb47-32322c40554b · outbound

This paper cites Basu Roy Chowdhury, P.

The limiting law of the Discrete Gaussian level lines Basu Roy Chowdhury, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.738293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 76691021-e65e-40f3-9b5a-8dc2c7625985 · outbound

This paper cites Bauerschmidt, J.

The limiting law of the Discrete Gaussian level lines Bauerschmidt, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.720630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8dc3cb71-c504-46d4-95cc-6478a25ca307 · outbound

This paper cites Bauerschmidt, J.

The limiting law of the Discrete Gaussian level lines Bauerschmidt, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.693250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 769a37e3-d63f-4ace-bc7a-178edd0d9e09 · outbound

This paper cites Brandenberger and C.

The limiting law of the Discrete Gaussian level lines Brandenberger and C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.674701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 72dfe7ae-8ebf-4f19-8e57-0fe774ac425a · outbound

This paper cites Bricmont, A.

The limiting law of the Discrete Gaussian level lines Bricmont, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.661327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f85a3e31-6df2-4a48-9781-703eadaa9bb1 · outbound

This paper cites an unresolved cited work.

The limiting law of the Discrete Gaussian level lines Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:19:46.645487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 71928789-ca5c-4310-850f-e8228413e025 · outbound

This paper cites Caddeo, Y.

The limiting law of the Discrete Gaussian level lines Caddeo, Y

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.631563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8ab6e996-7393-4d2a-be11-daa022407a1c · outbound

This paper cites Campanino, D.

The limiting law of the Discrete Gaussian level lines Campanino, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.616883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation de6bb520-83b9-4857-a62d-72ac3f44378a · outbound

This paper cites Caputo and S.

The limiting law of the Discrete Gaussian level lines Caputo and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.602446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ab2b9d86-a0d0-429d-a0a4-f200a658be5e · outbound

This paper cites Caputo, D.

The limiting law of the Discrete Gaussian level lines Caputo, D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.588258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6ccc1881-5fac-41b5-9c62-f3a993b4aa77 · outbound

This paper cites Caputo, D.

The limiting law of the Discrete Gaussian level lines Caputo, D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.568968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d3ff2bc8-96df-4af8-831b-a18d76d60aab · outbound

This paper cites Caputo, E.

The limiting law of the Discrete Gaussian level lines Caputo, E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.554208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4f684219-d408-4d55-8dce-355f42cdd841 · outbound

This paper cites Caputo, E.

The limiting law of the Discrete Gaussian level lines Caputo, E

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.538892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f733f929-b93a-419c-92da-812b7831320a · outbound

This paper cites Caputo, E.

The limiting law of the Discrete Gaussian level lines Caputo, E

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.524809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3485806d-83a6-4f70-a8ad-a193b3da63a6 · outbound

This paper cites an unresolved cited work.

The limiting law of the Discrete Gaussian level lines Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:19:46.509145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 06b690f4-8b9e-4432-bad8-de48403572c6 · outbound

This paper cites Dembo, E.

The limiting law of the Discrete Gaussian level lines Dembo, E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.494967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f43ffd98-f2c2-49dd-b3c3-1deabc5ffd87 · outbound

This paper cites Dobrushin, R.

The limiting law of the Discrete Gaussian level lines Dobrushin, R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.478707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 64134bff-58c0-401d-bf07-201892d4a21f · outbound

This paper cites an unresolved cited work.

The limiting law of the Discrete Gaussian level lines Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:19:46.464357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 87936b1e-6bc9-40af-9d04-cc747516bcc8 · outbound

This paper cites Fr¨ ohlich and T.

The limiting law of the Discrete Gaussian level lines Fr¨ ohlich and T

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.450469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d2ad7806-0700-403f-a67c-97ce5337c821 · outbound

This paper cites Fr¨ ohlich and T.

The limiting law of the Discrete Gaussian level lines Fr¨ ohlich and T

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.434754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8d77712f-c41b-488b-9b02-da265912a75b · outbound

This paper cites Gheissari and E.

The limiting law of the Discrete Gaussian level lines Gheissari and E

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.420529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c9904af1-dcaa-4637-ade5-c17506524123 · outbound

This paper cites Greenberg and D.

The limiting law of the Discrete Gaussian level lines Greenberg and D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.399738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d8365a92-d5d4-4e25-b2d7-68e0afe219ff · outbound

This paper cites Grimmett.

The limiting law of the Discrete Gaussian level lines Grimmett

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.385789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation db234667-6c5d-4068-a896-ac7be2909c9d · outbound

This paper cites Hegde, Y.

The limiting law of the Discrete Gaussian level lines Hegde, Y

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.371535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cfffe490-1a1b-4c61-9207-571c23990e8d · outbound

This paper cites Ioffe, S.

The limiting law of the Discrete Gaussian level lines Ioffe, S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.356007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a3882276-83a6-4fd7-8f90-5c30e8482958 · outbound

This paper cites Ioffe, S.

The limiting law of the Discrete Gaussian level lines Ioffe, S

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.340719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7ef9df39-bd8b-47d1-be45-bdfd433f2a4e · outbound

This paper cites Ioffe, S.

The limiting law of the Discrete Gaussian level lines Ioffe, S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:46.200825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 08fd8c2b-3a92-4e5b-aebf-5aa524c45ce0 · outbound

This paper cites Ioffe, S.

The limiting law of the Discrete Gaussian level lines Ioffe, S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:45.890050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 61225bdd-d928-4de1-b007-823e8bed26c7 · outbound

This paper cites Ioffe and Y.

The limiting law of the Discrete Gaussian level lines Ioffe and Y

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:45.570668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 066960f3-a70a-4423-8fb4-55bf724210c4 · outbound

This paper cites an unresolved cited work.

The limiting law of the Discrete Gaussian level lines Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:19:45.308435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 160dd698-2f85-4113-a2d7-16d684b27b7c · outbound

This paper cites Koteck´ y and D.

The limiting law of the Discrete Gaussian level lines Koteck´ y and D

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:45.209381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c93d6742-826a-4f9e-856f-1d93e4ce8f22 · outbound

This paper cites A dichotomy theory for the height functions of the BKT transition.

The limiting law of the Discrete Gaussian level lines A dichotomy theory for the height functions of the BKT transition

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-05T10:19:43.159044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00479ec3-c2a2-456c-8667-7e7f725cb266 · outbound

This paper cites Lammers and S.

The limiting law of the Discrete Gaussian level lines Lammers and S

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:45.044248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7a25c3b6-29e0-4586-ab50-48b2535ba11a · outbound

This paper cites Laslier and E.

The limiting law of the Discrete Gaussian level lines Laslier and E

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:44.893145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c7003284-de37-4767-8e56-646f4e321dba · outbound

This paper cites Lubetzky, F.

The limiting law of the Discrete Gaussian level lines Lubetzky, F

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:44.748164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0715459b-c0cd-4b6a-a5d6-c15bbaa91ed6 · outbound

This paper cites Martinelli and F.

The limiting law of the Discrete Gaussian level lines Martinelli and F

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:44.612043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation de2a8b5b-efd3-465d-aa21-1276fb65daae · outbound

This paper cites Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt.

The limiting law of the Discrete Gaussian level lines Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-05T10:19:43.546036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dccec465-171b-49c5-afb9-c989afb76877 · outbound

This paper cites an unresolved cited work.

The limiting law of the Discrete Gaussian level lines Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:19:44.504389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e58107cc-0520-4567-bd74-2f2dbc62d6b7 · outbound

This paper cites an unresolved cited work.

The limiting law of the Discrete Gaussian level lines Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:19:44.366270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 69e79009-d720-459b-b7bc-9e1e1c86c937 · outbound

This paper cites Sheffield.

The limiting law of the Discrete Gaussian level lines Sheffield

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:19:44.179030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 20f5f2c8-cf9b-41d9-a311-0ba33e0fd0a4 · outbound

This paper cites an unresolved cited work.

The limiting law of the Discrete Gaussian level lines Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:19:44.068238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5da3b1a0-34b0-4848-9e5d-176361eb54de · outbound

This paper cites Tilted Solid-On-Solid is liquid: scaling limit of SOS with a potential on a slope.

The limiting law of the Discrete Gaussian level lines Tilted Solid-On-Solid is liquid: scaling limit of SOS with a potential on a slope

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-05T10:19:43.326371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aff2b9c6-b93b-4adf-95cd-f441ab22672b · outbound

This paper cites Scaling limit and tail bounds for a random walk model of SOS level lines.

The limiting law of the Discrete Gaussian level lines Scaling limit and tail bounds for a random walk model of SOS level lines

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-05T10:19:42.524588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 17ebc4bd-efbe-4910-a813-110ee30bc6a4 · inbound

The limit shape and emergence of the Discrete Gaussian level lines cites this paper.

The limit shape and emergence of the Discrete Gaussian level lines The limiting law of the Discrete Gaussian level lines

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-02T15:37:06.789561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f0158ac4-2072-4ea2-bf5e-ab9e52c453e9 · inbound

The law of (1+1)D SOS with an area tilt in a wedge cites this paper.

The law of (1+1)D SOS with an area tilt in a wedge The limiting law of the Discrete Gaussian level lines

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-08T16:57:20.253477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.