Paper Citation Record · LEDGER

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs

As of 12 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 2 inbound Pith citation observations for arXiv:2412.05709.

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

pith.paper-citation-record.v1
2412.05709 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:33:50.518719Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:37:46.851695Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T14:41:54.121273Z

Reference resolution

42 of 42 outbound references displayed

verified exact1
verified fuzzy24
unresolved17
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 88fac10f-7033-4d6a-bbc0-2cb161e3d8ab · outbound

This paper cites fractons.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs fractons

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.129263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4737ac45-3921-4426-82e9-49376f80a58b · outbound

This paper cites Basu and A.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Basu and A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.117663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bd87786c-14de-4619-b678-d9c1b2a1c8e3 · outbound

This paper cites Cai and J.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Cai and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.106805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6d1eba94-3f36-497a-9b2a-608283572454 · outbound

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

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.382491Z

Source-reported events for the cited work

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

This paper cites 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 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.

Observation d252541d-310a-4916-ac0d-3442651be006 · outbound

This paper cites Chang, H.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Chang, H

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.390933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41e21780-83b0-42ee-8dac-4561a94b17f7 · outbound

This paper cites Ding and M.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Ding and M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.089924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 84ef3fdc-91e7-47b3-b216-452b71308b91 · outbound

This paper cites Drewitz, A.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Drewitz, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.079690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a8d9a420-2769-4762-a385-25f1bcb85a62 · outbound

This paper cites Drewitz, A.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Drewitz, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.068886Z

Source-reported events for the cited work

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Observation cc7d8d33-f233-43eb-8441-a0461292c359 · outbound

This paper cites Drewitz, A.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Drewitz, A

Reference 10

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 701f62dd-c457-4ab3-b114-8e0d6df4a358 · outbound

This paper cites Drewitz, A.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Drewitz, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.056907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 80e5a270-1ca0-4f9a-a92c-a2981fa17458 · outbound

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

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Cluster volumes for the Gaussian free field on metric graphs

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.413676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8799e27f-788c-4244-a0be-a064baedfd5b · outbound

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

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Critical one-arm probability for the metric Gaussian free field in low dimensions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.417040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e923df5e-a0ce-4928-80ac-7448b360b217 · outbound

This paper cites Drewitz, B.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Drewitz, B

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.045626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 98d0dc8b-f6d1-466f-8a23-1c43da509e30 · outbound

This paper cites Drewitz, B.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Drewitz, B

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.033766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 90d3af94-45f4-47da-b56b-48ef86ec6214 · outbound

This paper cites Fitzner and R.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Fitzner and R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.019863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 83bfbe8e-4539-40e5-9ddc-1b063ac058c2 · outbound

This paper cites Gandolfi, M.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Gandolfi, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:51.008922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0c116d5c-88b1-465b-81ec-0ef5779e5d51 · outbound

This paper cites Critical level set percolation for the GFF in $d>6$: comparison principles and some consequences.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Critical level set percolation for the GFF in $d>6$: comparison principles and some consequences

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.433110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19f53d0e-be1a-4687-93a0-ecc44c0b5c64 · outbound

This paper cites The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.437360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44913e94-36d8-4cd3-ba69-24fbfb27ca1d · outbound

This paper cites Hara and G.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Hara and G

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.441086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c79deb35-91fc-4ae1-b1ae-4523dced8407 · outbound

This paper cites Hara and G.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Hara and G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.990461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4f65550f-c0a5-4c85-99a3-d18b0e5dcf3e · outbound

This paper cites Hara and G.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Hara and G

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.979274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9da13dd5-6ec1-4a8c-affd-db11f476b1bc · outbound

This paper cites Heydenreich, R.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Heydenreich, R

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.451544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c57ac354-39a2-4703-b7e8-b80ae2674031 · outbound

This paper cites Heydenreich, R.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Heydenreich, R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.961684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 44562c98-1c9b-4bad-a230-7af67099b653 · outbound

This paper cites an unresolved cited work.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:33:50.952458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bf12ebc0-1d34-4916-b32c-c05ef98fb304 · outbound

This paper cites an unresolved cited work.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:33:50.943234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ec4890f1-4e0e-4b8e-8c42-76fbf0fd5877 · outbound

This paper cites Kozma and A.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Kozma and A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.934247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c0705d4d-f5a5-4f15-b7bd-8876a36e5ff9 · outbound

This paper cites an unresolved cited work.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:33:50.923817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 35c38618-88f5-408e-82e3-91a4f70bfc9a · outbound

This paper cites an unresolved cited work.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:33:50.913721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3403e6a6-7439-41b2-ad87-26dae3615385 · outbound

This paper cites An equivalence between gauge-twisted and topologically conditioned scalar Gaussian free fields.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs An equivalence between gauge-twisted and topologically conditioned scalar Gaussian free fields

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.478513Z

Source-reported events for the cited work

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Observation 878d791b-df69-4cf5-a42b-7c61afd0906f · outbound

This paper cites Lupu and W.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Lupu and W

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.902899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f7e01286-f040-42ce-92d7-f652eec395d9 · outbound

This paper cites M¨ orters and Y.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs M¨ orters and Y

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.892440Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 51b35936-273e-4a68-9678-548d92a02430 · outbound

This paper cites an unresolved cited work.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Unresolved cited work

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d9fd92d6-6fe1-4130-8ba9-395f2d9f0576 · outbound

This paper cites Popov and B.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Popov and B

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.882098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1f964ee8-cccd-4ffe-8a10-4e8958d4d46d · outbound

This paper cites Rath and A.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Rath and A

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.869724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ea0a57fe-c13a-4032-8017-090ec9da7e45 · outbound

This paper cites Rodriguez and A.-S.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Rodriguez and A.-S

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.858778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0f26797b-c9df-4fed-b48b-b4ec3f227de4 · outbound

This paper cites Sznitman.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Sznitman

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.847475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1f89ea4a-3dc7-4a82-9268-0b8ec70a3fff · outbound

This paper cites Sznitman.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Sznitman

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.835295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4b7fdfc7-b802-42ce-991f-39c8611a09ea · outbound

This paper cites Cames van Batenburg.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Cames van Batenburg

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.824353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6b84b484-a5d6-400f-9a5c-fa479b17c443 · outbound

This paper cites Van der Hofstad and A.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Van der Hofstad and A

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:50.814322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fe39d4a9-5845-450c-bd4e-7f74ee23439b · outbound

This paper cites Vershynin.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Vershynin

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:50.515479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afb52683-5843-459c-a351-e7c36db782ae · outbound

This paper cites an unresolved cited work.

Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:33:50.797907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

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

Quasi-multiplicativity and regularity for metric graph Gaussian free fields cites this paper.

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.

Observation 551930a3-cf7a-499e-86af-ce62114e4da4 · 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 Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-08T14:41:54.125072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.