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Paper Citation Record · LEDGER

Continuous-time directed polymers to the Critical SHF via moments

As of 17 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

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One-hop event checks from named stored sources.

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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

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

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

Reference 2

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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

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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

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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
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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

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Unavailable: canonical work link unavailable.

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

Reference 7

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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

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This paper cites an unresolved cited work.

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

Reference 9

Resolution
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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
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Unavailable: canonical work link unavailable.

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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
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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

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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
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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

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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

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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

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

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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

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

Reference 27

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Reference 29

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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

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

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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.

source=pdf_text observed=2026-08-16T00:39:50.705203Z digest=sha256:bffcff687b9d47e9acdba975662ba8ea46cc719cc6a562219a108c5dc87bac8f

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 2026-08-17T06:30:58.91139+00:00.

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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 2026-08-17T06:30:58.91139+00:00.

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T00:39:50.720369Z digest=sha256:ab44db957b1b5831236f7b8ca09cf88b6de472a14c84ba15939cf03c784b8f3e

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.

source=pdf_text observed=2026-08-16T00:39:50.724983Z digest=sha256:ad5f4061364359fae6624d28e0641ab10ce5ece90051dc1a66ba9cc320fe1dea

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T00:39:50.730729Z digest=sha256:f69c2427728118859693b684d4b38564b9a785dca378bf0f7f0c4b5f2d99ad62

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T00:39:50.736181Z digest=sha256:887e8180e8b2bc115ea02472737186daa58157613387d5fe1754d51671b3a9e5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T00:39:50.740252Z digest=sha256:384cf32028ef93e7961d086e410d27713c98999c37ca2822a81fbc608afaaa52

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.

source=pdf_text observed=2026-08-16T00:39:50.744463Z digest=sha256:23108d8e77e6391966a619193d7b177552ed0138206fe5316076b47a03727ac9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T00:39:50.748748Z digest=sha256:b9fe62d8d8728d741277827113f01b27767ca5f1f92d2bf51ed560c461c0aaa4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T00:39:50.753324Z digest=sha256:e393655bf24a3b62b2f60e2f683016a2fd339ae9bb7c1bcdc6ccf567a288d70e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T00:39:50.757907Z digest=sha256:3c951a7dea1e189513bcf160c8dc541f1af27a591bf84871fdd6b9cfff8170a5

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.

source=pdf_text observed=2026-08-16T00:39:50.762521Z digest=sha256:c9eafde0e6196091d6a7e8d4d1a8872762eac91c3d56829b51cb3ec16a135114

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.

source=pdf_text observed=2026-08-16T00:39:50.624960Z digest=sha256:6b0e29a7f7165f2ec05396cd3e55736e318a05649dad2ec375704d0b19b47838

Pith citing papers

No inbound Pith citation observations are available.