Paper Citation Record · LEDGER

Negative association of Busemann functions in exponential last-passage percolation

As of 11 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2608.07236.

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

pith.paper-citation-record.v1
2608.07236 v2

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:27:29.111468Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

48 of 48 outbound references displayed

verified exact0
verified fuzzy0
unresolved41
parse uncertain0
malformed identifier7
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa2ed2aa-9c6c-42fb-b673-a57ca1fbe2d1 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.824039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1164854c-b4ff-450d-8108-d15bea8972b6 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.829732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 475d130a-c07a-46cd-be20-16849dcad1c5 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.834656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 796eeef6-32aa-40a4-9c31-fb8cffe004fe · outbound

This paper cites Sigma 8(2020), article no.

Negative association of Busemann functions in exponential last-passage percolation Sigma 8(2020), article no

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.839769Z

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Unavailable: canonical work link unavailable.

Observation 291aed3b-98d1-47cb-8ad4-4e21e9e5ab8e · outbound

This paper cites Theory Related Fields 180, 1-2 (2021), 113–162.

Negative association of Busemann functions in exponential last-passage percolation Theory Related Fields 180, 1-2 (2021), 113–162

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-08-11T04:27:28.845139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ee7227e-7b2c-4421-a4d1-b767b4264b5a · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.850265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8ba0bff-0195-4037-97c1-2f69a42a9dad · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-11T04:27:28.856032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6c4690a-d208-4ef8-9da6-82adce23f5c1 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 8

Resolution: malformed identifier; no resolver link, observed 2026-08-11T04:27:28.862059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2517bbe3-bbfc-4ee1-bb2e-fcdfda6b698d · outbound

This paper cites Theory Related Fields, 66 pp.

Negative association of Busemann functions in exponential last-passage percolation Theory Related Fields, 66 pp

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.867661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 731e0753-effe-4899-ae1e-f1f59f8f80e2 · outbound

This paper cites L., and Sepp¨al¨ainen, T.Intertwining the Busemann process of the directed polymer model.Electron.

Negative association of Busemann functions in exponential last-passage percolation L., and Sepp¨al¨ainen, T.Intertwining the Busemann process of the directed polymer model.Electron

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-08-11T04:27:28.872924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d70dae25-9924-4448-b6a8-51de39493cdd · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.878205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d03a46e-e653-4808-88ad-b4bf7311db66 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.883869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44e629cb-b006-4eee-a80d-923cabef79d7 · outbound

This paper cites L.Universality of the geodesic tree in last passage percolation.Ann.

Negative association of Busemann functions in exponential last-passage percolation L.Universality of the geodesic tree in last passage percolation.Ann

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.889657Z

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Unavailable: canonical work link unavailable.

Observation 8d662e22-d22d-4e35-a2ab-7f47545227d4 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.894942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e36d233-7ce5-492b-bb18-ed8c9153df2d · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.901082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6241671f-35d9-4ba9-8148-f1afd00469e1 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.908327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 010638ef-f76b-47ff-b57c-707f20e8f2c8 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-11T04:27:28.914849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8aebec9-5e0c-4e48-abc6-b1b5eb7b8e81 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.921865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76f5be6b-7b03-4a25-a96b-5acff49d2012 · outbound

This paper cites Electron.

Negative association of Busemann functions in exponential last-passage percolation Electron

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.928438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f46705c9-53d2-4126-8d32-1e26b5d587bb · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.936222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dbc5153-87fd-4b66-a0fc-c7a4190a7f10 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.943341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c552c96-41f1-46dd-bd42-de9403f527bb · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.950674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39d0511e-eeb9-4b2f-be26-feca6d2061b1 · outbound

This paper cites Invariant measures for half-space geometric LPP: classification and the one force--one solution principle.

Negative association of Busemann functions in exponential last-passage percolation Invariant measures for half-space geometric LPP: classification and the one force--one solution principle

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.957109Z

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Unavailable: canonical work link unavailable.

Observation be02ea81-1a01-47f7-87c3-abbe61d49e77 · outbound

This paper cites 229, 2 (2022), 201–285.https://doi.org/10.4310/acta.2022.v229.n2.a1.

Negative association of Busemann functions in exponential last-passage percolation 229, 2 (2022), 201–285.https://doi.org/10.4310/acta.2022.v229.n2.a1

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.964203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ee25cde-8615-4ac9-bfea-37b37bd8a170 · outbound

This paper cites The directed landscape from Brownian motion.

Negative association of Busemann functions in exponential last-passage percolation The directed landscape from Brownian motion

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.969365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1124d956-bee1-46f6-9837-d2489e713492 · outbound

This paper cites The directed landscape in half-space.

Negative association of Busemann functions in exponential last-passage percolation The directed landscape in half-space

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.975497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b67b8a9b-d87f-4209-8dd4-890649298f7b · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 27

Resolution: malformed identifier; no resolver link, observed 2026-08-11T04:27:28.982530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d58050e0-9e2e-42f6-b221-dc2dfd95252b · outbound

This paper cites G., and Tanny, S.

Negative association of Busemann functions in exponential last-passage percolation G., and Tanny, S

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.987402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96240727-6930-48d3-89bd-6898a1f15f57 · outbound

This paper cites L., and Sepp¨al¨ainen, T.Joint distribution of Busemann functions in the exactly solvable corner growth model.Probab.

Negative association of Busemann functions in exponential last-passage percolation L., and Sepp¨al¨ainen, T.Joint distribution of Busemann functions in the exactly solvable corner growth model.Probab

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.993739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 960ebb38-5e36-4292-ab0c-73a580b8a463 · outbound

This paper cites A., and Martin, J.

Negative association of Busemann functions in exponential last-passage percolation A., and Martin, J

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:28.999424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b73d98a-3c27-4d70-80a6-ca3e1044ccf2 · outbound

This paper cites A., and Martin, J.

Negative association of Busemann functions in exponential last-passage percolation A., and Martin, J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.004724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d284582-95c5-4dfd-8c0a-695bd8bb2779 · outbound

This paper cites A., and Martin, J.

Negative association of Busemann functions in exponential last-passage percolation A., and Martin, J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.011454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a192587f-225e-4777-8fa1-b38950cf5f82 · outbound

This paper cites A., and Pimentel, L.

Negative association of Busemann functions in exponential last-passage percolation A., and Pimentel, L

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.016411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abc7d269-8ae5-4273-aa00-c38b8b0a3b2d · outbound

This paper cites Theory Related Fields 169, 1-2 (2017), 177–222.

Negative association of Busemann functions in exponential last-passage percolation Theory Related Fields 169, 1-2 (2017), 177–222

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.021630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 486a8cae-1cff-46ea-a088-a83d78ab3703 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.027259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b7dcf2b-2505-496e-9b38-1d8512e44ad3 · outbound

This paper cites Theory Related Fields 192, 1-2 (2025), 303–372.

Negative association of Busemann functions in exponential last-passage percolation Theory Related Fields 192, 1-2 (2025), 303–372

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.034642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a924018-afca-47e3-b286-8a383169c4ab · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.041014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab5c0d15-0e66-4d6f-b97d-3f7669870778 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.047295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9c44688-9d67-4537-a1c8-f62a017a587f · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.052770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9643cff8-4654-4d0e-8704-b62efb210100 · outbound

This paper cites Multivariate Anal.

Negative association of Busemann functions in exponential last-passage percolation Multivariate Anal

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.059002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 708840a0-ae09-489a-9b8b-10b3439aab57 · outbound

This paper cites R., Sepp ¨al¨ainen, T., and V alk´o, B.Fluctuation exponents for directed polymers in the intermediate disorder regime.Electron.

Negative association of Busemann functions in exponential last-passage percolation R., Sepp ¨al¨ainen, T., and V alk´o, B.Fluctuation exponents for directed polymers in the intermediate disorder regime.Electron

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.074537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21c6e7f8-c3d8-4205-a986-0b4835e1057f · outbound

This paper cites Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights.

Negative association of Busemann functions in exponential last-passage percolation Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.079462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 208d2a5c-b8b2-4416-89da-0e38526b8df4 · outbound

This paper cites Scaling for a one-dimensional directed polymer with boundary conditions.

Negative association of Busemann functions in exponential last-passage percolation Scaling for a one-dimensional directed polymer with boundary conditions

Reference 43

Resolution: malformed identifier; no resolver link, observed 2026-08-11T04:27:29.084812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03b7710f-268d-4c73-9cab-30f002fee6e4 · outbound

This paper cites Coalescence estimates for the corner growth model with exponential weights.

Negative association of Busemann functions in exponential last-passage percolation Coalescence estimates for the corner growth model with exponential weights

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.090367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e86f6993-859a-4556-a909-813084e95cdc · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.096606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e00a658-d414-4aa9-8c78-034919c11a8a · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.101370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5eb01764-262a-4d10-9017-b8cc90908610 · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.106223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffea1346-9ff6-4274-b409-f186edcf4a1c · outbound

This paper cites an unresolved cited work.

Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-11T04:27:29.111468Z

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Unavailable: canonical work link unavailable.

Pith citing papers

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