Paper Citation Record · LEDGER

The limit shape and emergence of the Discrete Gaussian level lines

As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2606.06612.

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

pith.paper-citation-record.v1
2606.06612 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T23:42:59.301203Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:57:20.260895Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T16:57:20.357727Z

Reference resolution

40 of 40 outbound references displayed

verified exact4
verified fuzzy0
unresolved36
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd7358d4-b0e4-479f-b4e3-226f36b7e582 · outbound

This paper cites Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models.

The limit shape and emergence of the Discrete Gaussian level lines Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-02T15:37:06.782020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 19093d9a-3950-47dd-9bea-7a8a3cad6cc8 · outbound

This paper cites Basu Roy Chowdhury, P.

The limit shape and emergence of the Discrete Gaussian level lines Basu Roy Chowdhury, P

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 662860a7-4668-453f-adda-9aa6a18c38f0 · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

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Unavailable: canonical work link unavailable.

Observation 06bfb9f8-27dd-4f53-92c1-176bdad58fdb · outbound

This paper cites Brandenberger and C.

The limit shape and emergence of the Discrete Gaussian level lines Brandenberger and C

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49449f45-61ad-4abc-9e5f-27e6ec8486d2 · outbound

This paper cites Bricmont, A.

The limit shape and emergence of the Discrete Gaussian level lines Bricmont, A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5f1dc6b-6063-4292-844c-592e22ee9991 · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4ea746d-2392-4184-b910-b0cbfebc3b9b · outbound

This paper cites Caddeo, Y.

The limit shape and emergence of the Discrete Gaussian level lines Caddeo, Y

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cf4f41d-cf16-4eac-97cf-641cf1e8dedb · outbound

This paper cites Caputo and S.

The limit shape and emergence of the Discrete Gaussian level lines Caputo and S

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7d5d54f-db54-4226-bb05-714922319c9b · outbound

This paper cites Caputo, D.

The limit shape and emergence of the Discrete Gaussian level lines Caputo, D

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c5659f0-572a-4c76-a507-f85128fc677e · outbound

This paper cites Caputo, D.

The limit shape and emergence of the Discrete Gaussian level lines Caputo, D

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ca6b5ec-5441-42e7-9cba-665168a89e75 · outbound

This paper cites Caputo, E.

The limit shape and emergence of the Discrete Gaussian level lines Caputo, E

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bda8ae0-f7f1-40a0-a07f-c2b2b7fbf8c5 · outbound

This paper cites Caputo, E.

The limit shape and emergence of the Discrete Gaussian level lines Caputo, E

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9ae1f32-58f1-4b0c-b8fd-4135dd43db24 · outbound

This paper cites Caputo, E.

The limit shape and emergence of the Discrete Gaussian level lines Caputo, E

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites The limiting law of the Discrete Gaussian level lines.

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 2026-08-08T06:32:00.761636+00:00.

Observation 15beeff9-b960-4dad-b96e-4a862b8b899b · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 523a5e66-13ad-4d35-b922-00f85e8df55f · outbound

This paper cites Dembo, E.

The limit shape and emergence of the Discrete Gaussian level lines Dembo, E

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adf15876-6552-4203-8ac8-d7f796dd9b8d · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e682c344-befa-417f-84cd-618982a193e6 · outbound

This paper cites Fr¨ ohlich and T.

The limit shape and emergence of the Discrete Gaussian level lines Fr¨ ohlich and T

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a031747c-5f55-4d6d-a7d7-5c215d1ea4e0 · outbound

This paper cites Fr¨ ohlich and T.

The limit shape and emergence of the Discrete Gaussian level lines Fr¨ ohlich and T

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c9277e2-b52b-4bb2-8265-0fd6e068a0de · outbound

This paper cites Garban and A.

The limit shape and emergence of the Discrete Gaussian level lines Garban and A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0fdf50a2-041d-4af1-a3c4-39ae68ed6633 · outbound

This paper cites Hegde, Y.

The limit shape and emergence of the Discrete Gaussian level lines Hegde, Y

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c29f5a4-5309-4752-b5f5-cb9b926c49fb · outbound

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

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

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-02T15:37:06.784734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c831d33e-afe5-470b-8762-762f5f14622a · outbound

This paper cites Heinonen, T.

The limit shape and emergence of the Discrete Gaussian level lines Heinonen, T

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9da21604-0903-4a1a-9746-59bb01d8cbfe · outbound

This paper cites Holopainen and P.

The limit shape and emergence of the Discrete Gaussian level lines Holopainen and P

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7cbf86d-c3a3-4105-91fb-34b3c86bbaab · outbound

This paper cites Ioffe, S.

The limit shape and emergence of the Discrete Gaussian level lines Ioffe, S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f653afb7-8a04-4f7a-9f01-f2254d39ee6d · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 062ff148-ac46-4bc9-91e4-02462289e760 · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60cf2836-6598-4026-8704-58b83294989e · outbound

This paper cites Lammers and S.

The limit shape and emergence of the Discrete Gaussian level lines Lammers and S

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf105082-ca97-4c6b-832c-87fa5861d1ca · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 537c1961-de69-47b1-ad5f-24f3fab099fa · outbound

This paper cites Lubetzky, F.

The limit shape and emergence of the Discrete Gaussian level lines Lubetzky, F

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9dc3973-f046-4a54-b2b3-5f52910b9c46 · outbound

This paper cites Maz’ya.Sobolev Spaces: With Applications to Elliptic Partial Differential Equations, volume 342 of Grundlehren der mathematischen Wissenschaften.

The limit shape and emergence of the Discrete Gaussian level lines Maz’ya.Sobolev Spaces: With Applications to Elliptic Partial Differential Equations, volume 342 of Grundlehren der mathematischen Wissenschaften

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f7c6ed9-223f-404f-a122-3893a9936853 · outbound

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

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

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-02T15:37:06.787287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bd49c41f-df11-4004-a23a-60d524bdf7ac · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee1f21ff-f58d-4e61-ad8b-802a64c247ce · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

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Observation 2ced789c-ed14-49b4-8038-7c0062ce59ef · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a064a99-f676-4991-9006-e26bc3cd689f · outbound

This paper cites Sheffield.

The limit shape and emergence of the Discrete Gaussian level lines Sheffield

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 705198e6-8135-4f86-a65a-b25bdc6ba3ce · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

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Unavailable: canonical work link unavailable.

Observation 589576c5-61f8-44ac-8a9a-b642dda94e18 · outbound

This paper cites Spitzer.Principles of random walk, volume Vol.

The limit shape and emergence of the Discrete Gaussian level lines Spitzer.Principles of random walk, volume Vol

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b9b4cef-150a-4710-b4d7-94e82ed763f0 · outbound

This paper cites van Engelenburg and M.

The limit shape and emergence of the Discrete Gaussian level lines van Engelenburg and M

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4139e30-4a22-4465-bc45-7f6309b1dece · outbound

This paper cites an unresolved cited work.

The limit shape and emergence of the Discrete Gaussian level lines Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-27T23:42:59.301203Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 676defaf-81ff-4b39-8fea-bfae28bfc3b3 · 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 limit shape and emergence of the Discrete Gaussian level lines

Reference 2026

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:57:20.363554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.