Paper Citation Record · LEDGER

Continuous-time directed polymers to the Critical SHF via moments

As of 19 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2608.11603.

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

pith.paper-citation-record.v1
2608.11603 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:39:50.762521Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

51 of 51 outbound references displayed

verified exact15
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier15
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40bd58bc-e46d-4045-bca1-74bbe4b129df · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-16T00:39:51.235508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ab428f38-1f10-4e28-ad1f-2e8842a344c2 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 2

Resolution: malformed identifier; doi_truncated, observed 2026-08-16T00:39:51.219999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5aaca087-f92e-407b-8248-4188d1293fc4 · outbound

This paper cites Texts and Monographs in Physics.

Continuous-time directed polymers to the Critical SHF via moments Texts and Monographs in Physics

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.526089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa99135e-6c2a-45e6-a0c8-5977452e4055 · outbound

This paper cites In:Probab.

Continuous-time directed polymers to the Critical SHF via moments In:Probab

Reference 4

Resolution: verified exact; doi, observed 2026-08-16T00:39:51.194453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 28438396-ad6e-4a60-a92f-f875165226dc · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 5

Resolution: malformed identifier; doi_truncated, observed 2026-08-16T00:39:51.179149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7f183385-0df8-4870-bb82-c93a195f8ae0 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.543378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 849a982e-c70c-4868-9f5c-23f4aa393f4e · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-16T00:39:50.549162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd351d55-e94a-4b32-94f0-5039f0d3af90 · outbound

This paper cites In:Invent.

Continuous-time directed polymers to the Critical SHF via moments In:Invent

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.555289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f367bf33-d604-42f6-a2d9-cf2c9f86e884 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 9

Resolution: malformed identifier; doi_truncated, observed 2026-08-16T00:39:51.144049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7c4f1345-714a-4a68-9512-f85ecba7ea71 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-08-16T00:39:50.565281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 444c7c03-a1f7-4868-92ba-1ac9880561d1 · outbound

This paper cites In:Probab.

Continuous-time directed polymers to the Critical SHF via moments In:Probab

Reference 11

Resolution: malformed identifier; doi_truncated, observed 2026-08-16T00:39:51.118369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 54ff1c7e-ddff-4148-8dcd-16b6be00233f · outbound

This paper cites Dalang.Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions.

Continuous-time directed polymers to the Critical SHF via moments Dalang.Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions

Reference 12

Resolution: verified exact; doi, observed 2026-08-16T00:39:51.101982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b98f34f8-d10c-41f8-a51f-c14fb4b36903 · outbound

This paper cites Dalang.Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions.

Continuous-time directed polymers to the Critical SHF via moments Dalang.Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions

Reference 13

Resolution: malformed identifier; no resolver link, observed 2026-08-16T00:39:50.582105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e0a2802-d957-4784-8f51-d1d22356f6c7 · outbound

This paper cites Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions.

Continuous-time directed polymers to the Critical SHF via moments Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.587387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21e7eb0f-f5ec-41da-9ec1-e96070e5d744 · outbound

This paper cites Stochastic motions of the two-dimensional many-body delta-Bose gas, II: Many-$\delta$ motions.

Continuous-time directed polymers to the Critical SHF via moments Stochastic motions of the two-dimensional many-body delta-Bose gas, II: Many-$\delta$ motions

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:39:51.783440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 305c4cfc-9c54-4b22-9965-57d09527a5ad · outbound

This paper cites Stochastic motions of the two-dimensional many-body delta-Bose gas, III: Path integrals.

Continuous-time directed polymers to the Critical SHF via moments Stochastic motions of the two-dimensional many-body delta-Bose gas, III: Path integrals

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:39:51.760382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f34e2bb7-ca97-4e33-b53b-f61e20624b92 · outbound

This paper cites In:Electron.

Continuous-time directed polymers to the Critical SHF via moments In:Electron

Reference 17

Resolution: malformed identifier; doi_truncated, observed 2026-08-16T00:39:51.075802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3e45ff3f-1dbe-4e3e-9d11-84c22fb0c9a4 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-16T00:39:51.059973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b086ca59-2d14-4f69-b337-112c2cc0c506 · outbound

This paper cites Continuum polymer measures corresponding to the critical 2d stochastic heat flow.

Continuous-time directed polymers to the Critical SHF via moments Continuum polymer measures corresponding to the critical 2d stochastic heat flow

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.611451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc40c19c-ce5a-46d6-b075-ee20b916827c · outbound

This paper cites Conditional GMC within the stochastic heat flow.

Continuous-time directed polymers to the Critical SHF via moments Conditional GMC within the stochastic heat flow

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.616082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2b8f957-20ec-4b27-8228-74bb57f78199 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:39:51.956324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 97ec8794-3d74-45b7-b7bd-69ee5878d2ca · outbound

This paper cites In:Bernoulli9.4 (2003), pp.

Continuous-time directed polymers to the Critical SHF via moments In:Bernoulli9.4 (2003), pp

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.629253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6612181c-eed5-4de6-bcaa-971ad4ebe75b · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:39:51.941151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 011dc70c-c7bc-4224-acec-bcce16ac698c · outbound

This paper cites In:Random Matri- ces Theory Appl.1.1 (2012), pp.

Continuous-time directed polymers to the Critical SHF via moments In:Random Matri- ces Theory Appl.1.1 (2012), pp

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.638389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5254ced-c0bf-4f3f-932f-7c9307ec66cc · outbound

This paper cites Dimock and S.

Continuous-time directed polymers to the Critical SHF via moments Dimock and S

Reference 25

Resolution: verified exact; doi, observed 2026-08-16T00:39:51.021971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0e390737-663a-46af-8f27-0ce1b6f3e4ca · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:39:51.924326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fae08ce8-261f-458b-9931-cd73f08f4b10 · outbound

This paper cites In:Electron.

Continuous-time directed polymers to the Critical SHF via moments In:Electron

Reference 27

Resolution: verified exact; doi, observed 2026-08-16T00:39:51.003563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f7e31962-158f-48b8-b64b-f29e53e1ee06 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.659555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f80bbcd-0be5-4495-aa59-f529506fd7da · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-08-16T00:39:50.986213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e01f643d-7db6-42a2-83ce-c6486445b73b · outbound

This paper cites Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow.

Continuous-time directed polymers to the Critical SHF via moments Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.668530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06820240-0367-4a0f-9c3b-f8e69e719e63 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:39:51.908213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation da5fc975-7f6e-40d2-85a3-0c5623acaca8 · outbound

This paper cites In:Stoch.

Continuous-time directed polymers to the Critical SHF via moments In:Stoch

Reference 32

Resolution: malformed identifier; doi_truncated, observed 2026-08-16T00:39:50.970046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b2bdbfef-3b74-424c-aa74-6d3b3951e970 · outbound

This paper cites In:Probab.

Continuous-time directed polymers to the Critical SHF via moments In:Probab

Reference 33

Resolution: verified exact; doi, observed 2026-08-16T00:39:50.953645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 95b78c93-d1eb-49ec-8ddf-cf03d058048c · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.687343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aec2c634-2285-4162-acbd-260cf0ef111b · outbound

This paper cites Stochastic heat flow is a black noise.

Continuous-time directed polymers to the Critical SHF via moments Stochastic heat flow is a black noise

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.691955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c0a2207-b59a-41b6-a5f7-0dad780bc619 · outbound

This paper cites In:Forum Math.

Continuous-time directed polymers to the Critical SHF via moments In:Forum Math

Reference 36

Resolution: malformed identifier; no resolver link, observed 2026-08-16T00:39:50.696443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04d56302-fad0-4623-ba57-c04067cf7e6c · outbound

This paper cites Hairer.A theory of regularity structures.

Continuous-time directed polymers to the Critical SHF via moments Hairer.A theory of regularity structures

Reference 37

Resolution: malformed identifier; no resolver link, observed 2026-08-16T00:39:50.700622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 876afe3b-d08a-46fa-9fbd-459152b28f54 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.705203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1869bf8b-5cad-43c0-aad9-30881f62e93e · outbound

This paper cites Huse and Christopher L.

Continuous-time directed polymers to the Critical SHF via moments Huse and Christopher L

Reference 39

Resolution: malformed identifier; doi_truncated, observed 2026-08-16T00:39:50.907452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 96eccbc6-03ff-4a2c-af82-aae4d4d68d47 · outbound

This paper cites In:ALEA Lat.

Continuous-time directed polymers to the Critical SHF via moments In:ALEA Lat

Reference 40

Resolution: verified exact; doi, observed 2026-08-16T00:39:50.890564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3daf29fc-005e-4f7d-afb2-27c657616739 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:39:51.889472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8f531490-0071-4732-b73a-4698ef1745ad · outbound

This paper cites A Condensation of Interacting Bosons in Two Dimensional Space.

Continuous-time directed polymers to the Critical SHF via moments A Condensation of Interacting Bosons in Two Dimensional Space

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.724983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7ddc6f3-aa83-4a0f-925d-4b704882bc20 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 43

Resolution: verified exact; doi, observed 2026-08-16T00:39:50.873331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2052cba1-114e-4889-9534-27f6e25073ec · outbound

This paper cites In:Electron.

Continuous-time directed polymers to the Critical SHF via moments In:Electron

Reference 44

Resolution: verified exact; doi, observed 2026-08-16T00:39:50.857156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6dfa84d9-aeed-46d7-8871-47ec91e216f2 · outbound

This paper cites In: Stoch.

Continuous-time directed polymers to the Critical SHF via moments In: Stoch

Reference 45

Resolution: malformed identifier; doi_truncated, observed 2026-08-16T00:39:50.841074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 319575b7-ef5a-49d2-a77f-b55730918ce3 · outbound

This paper cites an unresolved cited work.

Continuous-time directed polymers to the Critical SHF via moments Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.744463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e494b7e0-ea78-4a74-9a15-9beb5d87ac5d · outbound

This paper cites In:Probab.

Continuous-time directed polymers to the Critical SHF via moments In:Probab

Reference 47

Resolution: verified exact; doi, observed 2026-08-16T00:39:50.825421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8cfeafeb-05f4-494a-8c76-08d4ddc3b7ad · outbound

This paper cites An introduction to stochastic partial differential equations.

Continuous-time directed polymers to the Critical SHF via moments An introduction to stochastic partial differential equations

Reference 48

Resolution: verified exact; doi, observed 2026-08-16T00:39:50.810262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 51ef0a45-72b2-40b5-82d6-0f952c9f9a01 · outbound

This paper cites In:Stochastic Process.

Continuous-time directed polymers to the Critical SHF via moments In:Stochastic Process

Reference 49

Resolution: metadata mismatch; raw_fallback, observed 2026-08-16T00:39:51.384389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 69fc2e32-b2f5-4768-925e-ae0e45daa984 · outbound

This paper cites In:Probab.

Continuous-time directed polymers to the Critical SHF via moments In:Probab

Reference 50

Resolution: malformed identifier; no resolver link, observed 2026-08-16T00:39:50.762521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17626db1-4573-40fd-aede-8bcf1de0bb6b · outbound

This paper cites xv+199.isbn: 978-3-319-50486-5; 978-3-319-50487-2.doi: 10.1007/978- 3- 319- 50487- 2.url:https://doi.org/10.1007/978- 3- 319- 50487-2.

Continuous-time directed polymers to the Critical SHF via moments xv+199.isbn: 978-3-319-50486-5; 978-3-319-50487-2.doi: 10.1007/978- 3- 319- 50487- 2.url:https://doi.org/10.1007/978- 3- 319- 50487-2

Reference 2016

Resolution: malformed identifier; no resolver link, observed 2026-08-16T00:39:50.624960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.