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Paper Citation Record · LEDGER

Quasi-multiplicativity and regularity for metric graph Gaussian free fields

As of 11 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 2 inbound Pith citation observations for arXiv:2412.05706.

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

pith.paper-citation-record.v1
2412.05706 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:37:46.917670Z

measured 21 of 21 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:33:50.386375Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T14:41:54.134744Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e7203e47-8d03-42aa-9232-2e6de5f2eb15 · outbound

This paper cites Arratia, S.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Arratia, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:47.261810Z

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.

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Observation 9a5ac3a4-1df7-4453-b9c6-57f2fe152a7e · outbound

This paper cites Basu and A.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Basu and A

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-11T20:37:47.246283Z

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.

source=pdf_text observed=2026-08-11T20:37:46.842797Z digest=sha256:41e4c8625b339fb0b582e4b19233e9bbb6412d0f010ffd5b6d199111fec2f571

Observation bd03d277-e8ab-4ee8-9b53-8ce4cd4b9f18 · outbound

This paper cites Borgs, J.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Borgs, J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.847275Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.847275Z digest=sha256:1335cb5ece9a42136b74d9ad9a0f83bfc456c2ead4b4b7a46cf4af5d0cb7204a

Observation 50f51d2e-f81b-4bca-8f63-204e06603db7 · outbound

This paper cites Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.851695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.851695Z digest=sha256:4a724753912b69c77d3810ef6630c1cd7d2907d9ec6fe520c0a6a1aa35249c88

Observation def10743-3c08-4b82-92e0-cadf4dfb87f5 · outbound

This paper cites Cai and J.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Cai and J

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.856576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.856576Z digest=sha256:e57c53d69f38c2597f157c4fdb4b84ec3eb28f155ec7dc33908d48280b2e36d0

Observation 75eb966f-ece2-4684-88fd-00688d168249 · outbound

This paper cites One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.861033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.861033Z digest=sha256:a17f58b7df57509c814f01911f3260584b8d0a68cd160f7bcbb762bf13869249

Observation 2635db4c-26ba-4bee-8d60-407b6faa50d7 · outbound

This paper cites Chang and A.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Chang and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:47.214135Z

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.

source=pdf_text observed=2026-08-11T20:37:46.866181Z digest=sha256:51446b5748e40c765616674c2ec65245ba6db438d7be47bcba001168ab7a0517

Observation a04abf22-e760-4423-843b-511258fb5e4a · outbound

This paper cites Ding and M.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Ding and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:47.199526Z

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.

source=pdf_text observed=2026-08-11T20:37:46.870432Z digest=sha256:e909e3ebf75638bb9e1e23bd23418e4860bb609c90d1ae028afd9d6d42f7eeee

Observation fd5fdaec-2a06-4ecd-9bb6-9cf482c4b9e5 · outbound

This paper cites Drewitz, A.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Drewitz, A

Reference 9

Resolution
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no resolver link, observed 2026-08-11T20:37:46.874434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.874434Z digest=sha256:331b67a014421d8b8ad42fa7f2611a0ca5a61f0e566c3272c26d570a6045ae76

Observation f6c50fee-9a52-4353-a1f4-965d2336c5a2 · outbound

This paper cites Drewitz, A.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Drewitz, A

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.878604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.878604Z digest=sha256:a917a67f940e6bef62811c9e82db2f66d0aff67fbe064eeab5b97c46b5daf654

Observation b2f93fc4-0e50-47c2-ba15-4a02961df530 · outbound

This paper cites Cluster volumes for the Gaussian free field on metric graphs.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Cluster volumes for the Gaussian free field on metric graphs

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.882838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.882838Z digest=sha256:be1e956450912c6fdff9410eb0d23ae528de9532dae6c873d7d624ca38d2a0a6

Observation ce1ffed2-9cd0-4440-ba76-dc611a670d49 · outbound

This paper cites Critical one-arm probability for the metric Gaussian free field in low dimensions.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Critical one-arm probability for the metric Gaussian free field in low dimensions

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.887379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.887379Z digest=sha256:d3a5ee6831a6690bd2b755a794e329b8bf146f332016ea85f7306caf0a73a05e

Observation bf99dd16-2584-464c-8640-b8f1bad0a69c · outbound

This paper cites an unresolved cited work.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:37:47.176165Z

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.

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Observation 4d62def6-b17d-4b9c-98a7-bb447e869fe8 · outbound

This paper cites an unresolved cited work.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Unresolved cited work

Reference 14

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unresolved
no resolver link, observed 2026-08-11T20:37:46.896417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.896417Z digest=sha256:c4b5abfd3d0b8104b9a0ed8b944b5ff6c43c6dd0b6a241b312d173d20eac214b

Observation c4947be2-3bec-4e50-8836-ba8c2e82ffda · outbound

This paper cites an unresolved cited work.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.900607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.900607Z digest=sha256:a3202c3b8d1ee33fef98a1dacbb128bce6310e5892ae70ba58f1520c8085c613

Observation 562f7f4c-4dbe-4163-a52a-5e7fabfc92d2 · outbound

This paper cites Lupu and W.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Lupu and W

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.905165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.905165Z digest=sha256:430e5ba71f1d30e2570f54a4e2cf2da26eb3098d8668e1664d4f8d1f6d1465c1

Observation 2c5917aa-7a9a-40ee-9e6d-23a1139f15f8 · outbound

This paper cites M¨ orters and Y.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields M¨ orters and Y

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T20:37:46.909280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:37:46.909280Z digest=sha256:a69e3b13cacb0b8e534c6ebac0d0c1656aa30b5f6d866812078a17f71d6eb98c

Observation 8f90691d-f7c8-44f3-83f4-6ff7819961d9 · outbound

This paper cites an unresolved cited work.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:37:47.126478Z

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.

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Observation 6faad09b-d473-4431-8377-418d47239a99 · outbound

This paper cites an unresolved cited work.

Quasi-multiplicativity and regularity for metric graph Gaussian free fields Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:37:47.111090Z

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.

source=pdf_text observed=2026-08-11T20:37:46.917670Z digest=sha256:a1121f23a399d0af8cfcb718e1ad2c73ba783a4c6225cd974253869ae139a442

Pith citing papers

Observation 0252785e-86be-46e2-b75b-3a66ab272dfc · inbound

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs cites this paper.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Quasi-multiplicativity and regularity for metric graph Gaussian free fields

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T20:33:50.386375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:33:50.386375Z digest=sha256:be840b9c4ff28e438fa07436cfdfd09342c563aceb014469c3c562de42192b09

Observation ac548ec3-ef45-45b7-be93-1d4e3b3d6fde · inbound

A switching identity for cable-graph loop soups and Gaussian free fields cites this paper.

A switching identity for cable-graph loop soups and Gaussian free fields Quasi-multiplicativity and regularity for metric graph Gaussian free fields

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-08T14:41:54.138627Z

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.

source=pdf_text observed=2026-08-08T14:41:53.793008Z digest=sha256:4cd9a2d03e4424a327da9567d3300a41b5b09b36e6826d822d3aceec4e6e6702