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Paper Citation Record · LEDGER

Stationary Directed Polymers and Energy Solutions of the Burgers Equation

As of 22 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:1908.06591.

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

pith.paper-citation-record.v1
1908.06591 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:05:21.204720Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

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External citation measurements

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Outbound references

Observation cf70b660-5e39-4a80-8f1f-4203eee88862 · outbound

This paper cites and Stegun, I.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Stegun, I

Reference 1

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Source-reported events for the cited work

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This paper cites and Quastel, J.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Quastel, J

Reference 2

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Observation 79d6436a-ec84-4c7f-944c-b1ecfaea8778 · outbound

This paper cites and Quastel (2014) The continuum directed random polymer.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Quastel (2014) The continuum directed random polymer

Reference 3

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Observation 64bf8740-7eea-4975-a65f-7def2cbedaf0 · outbound

This paper cites (1981) Weak convergence and the general theory of processes , Unpublished notes.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (1981) Weak convergence and the general theory of processes , Unpublished notes

Reference 4

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Observation eabb8b1b-e27d-4381-b346-28056158ad0e · outbound

This paper cites and Quastel, J.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Quastel, J

Reference 5

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Observation 6a523e4d-6c56-4cc2-b04c-64c8645ba533 · outbound

This paper cites and Simon, M.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Simon, M

Reference 6

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Observation 6458640f-0cee-45d4-8abb-5407fdb5e04a · outbound

This paper cites and Giacomin, G.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Giacomin, G

Reference 7

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Observation 7770c6fd-51e2-41b2-8e82-f8b6da9fb42f · outbound

This paper cites (2018) SpaceTime Discrete KPZ Equation , Comm.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (2018) SpaceTime Discrete KPZ Equation , Comm

Reference 8

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Observation ccb85344-0a30-49f4-8431-f99e5c3f2fcc · outbound

This paper cites and Chouk, K.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Chouk, K

Reference 9

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Observation 30be9b3f-edba-471e-be8e-6deefdf2b84c · outbound

This paper cites and Perkowski, N.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Perkowski, N

Reference 10

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Observation 168842a9-32a0-4cc6-880f-7dc95c46bbac · outbound

This paper cites (2017) Directed Polymers in Random Environment: ´Ecole d’ ´Et´ e de Probabilit´ es de Saint-Flour XL VI 2016, Lecture Notes in Mathematics 2175, Springer.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (2017) Directed Polymers in Random Environment: ´Ecole d’ ´Et´ e de Probabilit´ es de Saint-Flour XL VI 2016, Lecture Notes in Mathematics 2175, Springer

Reference 11

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Observation f7020eab-cea0-48ec-a073-e35f8f497e90 · outbound

This paper cites (2012) The Kardar-Parisi-Zhang equation and universality class , Random Matrices The- ory Appl.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (2012) The Kardar-Parisi-Zhang equation and universality class , Random Matrices The- ory Appl

Reference 12

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This paper cites (2017) KardarParisiZhang Equation and Large Deviations for Rando m Walks in Weak Random Environments , J.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (2017) KardarParisiZhang Equation and Large Deviations for Rando m Walks in Weak Random Environments , J

Reference 13

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This paper cites and Perkowski, N.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Perkowski, N

Reference 14

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Observation dea24a9d-5fd8-4acc-bb84-3893786c5495 · outbound

This paper cites an unresolved cited work.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 739d1e12-96d1-468e-bf75-102335c52b87 · outbound

This paper cites (1988) Convergence towards Burgers equation and propagation of ch aos for weakly asymmetric exclusion processes , Stoch.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (1988) Convergence towards Burgers equation and propagation of ch aos for weakly asymmetric exclusion processes , Stoch

Reference 16

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Observation 522949e8-01b4-4cf8-b27e-b5875a156ad6 · outbound

This paper cites and Jara, M.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Jara, M

Reference 17

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Observation bc906111-7701-418a-a501-f1fa57c9ee11 · outbound

This paper cites and Sethuraman, S.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Sethuraman, S

Reference 18

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Observation b143a219-c361-4eb4-b002-2e599c7b1050 · outbound

This paper cites and Simon, M.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Simon, M

Reference 19

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Observation 9f79c369-8655-4cff-aedd-f752ceacb557 · outbound

This paper cites and Jara, M.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Jara, M

Reference 20

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Observation 252c8054-81d9-4592-ba85-a62a111731e9 · outbound

This paper cites and Perkowski, N.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Perkowski, N

Reference 21

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Observation e97b06c8-440e-47ad-94d9-813568bd2fe8 · outbound

This paper cites and Perkowski, N.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Perkowski, N

Reference 22

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Observation b7178414-ff03-433b-b569-ec6d44619a2e · outbound

This paper cites and Perkowski, N.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Perkowski, N

Reference 23

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Observation 8af17d81-0345-4e6e-8a10-d25d85d6eeef · outbound

This paper cites and Perkowski, N.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Perkowski, N

Reference 24

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Observation 2b032160-e53e-4370-ad2f-7a5571683ebd · outbound

This paper cites The infinitesimal generator of the stochastic Burgers equation.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation The infinitesimal generator of the stochastic Burgers equation

Reference 25

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Unavailable: canonical work link unavailable.

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Observation 8740492c-4ffb-425d-8b65-624e50de910a · outbound

This paper cites (2013) Solving the KPZ equation , Annals of Mathematics 178, 559664.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (2013) Solving the KPZ equation , Annals of Mathematics 178, 559664

Reference 26

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Observation 0b7bb078-187a-44ea-a7a4-2373c9976693 · outbound

This paper cites (2014) A theory of regularity structures , Inv.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (2014) A theory of regularity structures , Inv

Reference 27

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Observation 3bcf8433-6433-4347-85af-a9e532d9ec4b · outbound

This paper cites and Matetski, K.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Matetski, K

Reference 28

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Observation 03d4ed89-de93-42ec-93fc-41f997b8edf8 · outbound

This paper cites and Quastel, J.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Quastel, J

Reference 29

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Observation a8b6eab4-2a58-46db-890f-0d889cae1d35 · outbound

This paper cites and Xu, W.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Xu, W

Reference 30

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Observation 8f2c3515-c536-4768-85be-894003c368a6 · outbound

This paper cites Henley and C.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation Henley and C

Reference 31

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raw_fallback, observed 2026-08-14T13:05:21.422942Z

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Observation bbe4871a-ebe3-43fb-92d1-dfc33ef69cd4 · outbound

This paper cites and Moreno Flores, G.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Moreno Flores, G

Reference 32

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raw_fallback, observed 2026-08-14T13:05:21.413180Z

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Observation 92c228df-08ad-4638-be09-310063d19e92 · outbound

This paper cites (1986) Dynamic scaling of growing interfaces Phys.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (1986) Dynamic scaling of growing interfaces Phys

Reference 33

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raw_fallback, observed 2026-08-14T13:05:21.401003Z

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Observation a02fc5b1-5b00-4435-beb6-da90b3c96652 · outbound

This paper cites Surveys 15, 156-242.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation Surveys 15, 156-242

Reference 34

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raw_fallback, observed 2026-08-14T13:05:21.391231Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a798296a-b23a-4b73-bb38-63a4b2b23441 · outbound

This paper cites Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model

Reference 35

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local_arxiv, observed 2026-08-14T13:05:21.254886Z

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Observation 135c117e-00ea-49f8-9ff6-f273fc5760bc · outbound

This paper cites and Otto, F.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Otto, F

Reference 36

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raw_fallback, observed 2026-08-14T13:05:21.382005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.169003Z digest=sha256:bafc2e215962439b6a5bb02d9fdf4c0e1880818f2f2285682777071cb7c7294c

Observation 33364372-3aca-461b-924a-baea512f1cf4 · outbound

This paper cites (1983) Tightness of probabilities in C([0,1], Y′) and D([0,1], Y′), Ann.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (1983) Tightness of probabilities in C([0,1], Y′) and D([0,1], Y′), Ann

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:05:21.371857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.172200Z digest=sha256:1efb14ebd1f64c7553b472d7d23736c6e39669f5a33aa3f5954f100f066cd79e

Observation 88e0a8b8-7743-4722-a2e3-49c74aaa5b9c · outbound

This paper cites and Remenik, D., in preparation.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Remenik, D., in preparation

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:05:21.361080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.175322Z digest=sha256:d0fa02c6ebce94ccf12bb1f37e74014c17f0f590c437628e159374ce4f759bc8

Observation 6ad24814-0a9b-4835-86d4-4344e9a0c02f · outbound

This paper cites and Valko, B.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Valko, B

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:05:21.350761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.178662Z digest=sha256:b3075ee665a477f7349a537e37a359396470b63bec6459f1ef73409844417aae

Observation 32bbbf41-fc40-45a2-a6e7-0984bf407d24 · outbound

This paper cites an unresolved cited work.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:05:21.340487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.181886Z digest=sha256:91a14bba0eddaf97c1cebca20351a3cf01d2517b5c5f46238183d7c653a14d8f

Observation 0c2c1f1b-bf2c-4d06-b446-c705e0d6529d · outbound

This paper cites The KPZ Equation on the Real Line.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation The KPZ Equation on the Real Line

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:05:21.240864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.184938Z digest=sha256:0944a1a1c1f378ac114e9daf8a951579bd48246c20b923b469979a8c88806f5b

Observation 9825d86b-f64c-4dce-89d5-a83404a5ac23 · outbound

This paper cites and Spohn, H.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Spohn, H

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:05:21.330747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.188360Z digest=sha256:8662ee035dadb44a952dfb1eb81ab52ddbfffc564b6085d4aa557b1d3d910c92

Observation 2dda86f5-612a-43f8-b8b5-01b7343af081 · outbound

This paper cites (2010) Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment , Alea 7, 451-476.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (2010) Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment , Alea 7, 451-476

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:05:21.318562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.191444Z digest=sha256:b98a381095cba1a078ed6091b94dd7cb2af1d24c8f6de4b2ffde8396bf62e621

Observation df74fe6d-25e7-4c18-ae5d-6b5577a181a4 · outbound

This paper cites (2014) KPZ scaling theory and the semidiscrete directed polymer mo del, Random Matri- ces, MSRI Publications, Vol.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (2014) KPZ scaling theory and the semidiscrete directed polymer mo del, Random Matri- ces, MSRI Publications, Vol

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:05:21.306746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.194844Z digest=sha256:3a9bfe3c9f91a659950e4d2039bcad1406bf128ff182dab920b8fe54e3e4d6d9

Observation e3d66a0c-9baf-4af5-9cf6-d59668b83c16 · outbound

This paper cites and Quastel, J.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Quastel, J

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:05:21.294694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.198077Z digest=sha256:4f73669feb609b2cc16aaf04de8a3eb25d571bf622c216b4f76b7258c7cff96c

Observation deab7601-f111-4616-802e-b3ace5b74dfa · outbound

This paper cites and Sano, M.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation and Sano, M

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:05:21.283538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.201216Z digest=sha256:cb9570de55eca85882d063cc9fa24e98f3b2452d2f13f02a12f445d804190b07

Observation bb1a4fef-7b37-462d-896b-6c1d66ce2187 · outbound

This paper cites (2012) Introduction to KPZ , Curr.

Stationary Directed Polymers and Energy Solutions of the Burgers Equation (2012) Introduction to KPZ , Curr

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:05:21.272934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T13:05:21.204720Z digest=sha256:53640a59fcaba0fe2f0686479fbb247f00588cc8d41792e8a0c1f1a796668766

Pith citing papers

No inbound Pith citation observations are available.