Paper Citation Record · LEDGER

Integrability and exact large deviations of the weakly-asymmetric exclusion process

As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2505.12034.

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

pith.paper-citation-record.v1
2505.12034 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:52:18.553770Z

measured 32 of 32 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:44:09.893715Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:44:13.375924Z

Reference resolution

31 of 31 outbound references displayed

verified exact0
verified fuzzy19
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5f7a9d75-a526-46d4-af3b-267b4cd5ef5a · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.868006Z

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 0512e1a1-ffc4-4783-a3bb-86ccf30811a7 · outbound

This paper cites We consider the height fieldH =−2νJ and use the parameterization (SP.1).

Integrability and exact large deviations of the weakly-asymmetric exclusion process We consider the height fieldH =−2νJ and use the parameterization (SP.1)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.857585Z

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 d91952d7-225b-4ae8-913b-33e624486282 · outbound

This paper cites Let us define the matrix spinS S = 1 1 +RZ (1−RZ 2R 2Z −(1−RZ) ) := (Sz S+ S− −Sz ) (SN.33) 43 The direct properties of this representation areS2 =Id, DetS =−1 and S−S+ +S2 z = 1.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Let us define the matrix spinS S = 1 1 +RZ (1−RZ 2R 2Z −(1−RZ) ) := (Sz S+ S− −Sz ) (SN.33) 43 The direct properties of this representation areS2 =Id, DetS =−1 and S−S+ +S2 z = 1

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.950676Z

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 5ca73eb4-f511-448c-aa93-38e15eea7c8c · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.938732Z

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 fed4276e-762f-49a2-8e40-08a40c8aaa76 · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.927167Z

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 0911d654-1eab-44d5-a4e7-ab197937f411 · outbound

This paper cites We recall that the general MFT depends on two functionsD(q) and σ(q).

Integrability and exact large deviations of the weakly-asymmetric exclusion process We recall that the general MFT depends on two functionsD(q) and σ(q)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.904572Z

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 3c64e2aa-46af-45f1-93ad-c6b3b5428384 · outbound

This paper cites height field.

Integrability and exact large deviations of the weakly-asymmetric exclusion process height field

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.893787Z

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 e8e96c90-e8e5-4850-8a7f-aefd8dc88cd3 · outbound

This paper cites free energy density.

Integrability and exact large deviations of the weakly-asymmetric exclusion process free energy density

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.880532Z

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 a409629c-ae20-489c-bc3d-8dacdbb4753b · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.846269Z

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 6b5c1d43-1f59-45dd-9168-079224952aa4 · outbound

This paper cites The regime εKPZ≪ 1 corresponds to the weak noise theory of KPZ, which is also its short-time regime.

Integrability and exact large deviations of the weakly-asymmetric exclusion process The regime εKPZ≪ 1 corresponds to the weak noise theory of KPZ, which is also its short-time regime

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.835496Z

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 e69d9b0b-5e2d-4dd2-ba2d-0dec13bb1f50 · outbound

This paper cites We now show that they simply converge to the weak noise equations of KPZ.

Integrability and exact large deviations of the weakly-asymmetric exclusion process We now show that they simply converge to the weak noise equations of KPZ

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.824819Z

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 d3916aa7-7c30-46eb-a78b-9b86d3e04064 · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.813295Z

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 8a038336-6fe5-4074-9a5b-85eb5ad4875d · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.801517Z

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 fbbc9f18-e8aa-445f-a3d9-3a97cef7799d · outbound

This paper cites We will show a perfect matching with [56, Eq.

Integrability and exact large deviations of the weakly-asymmetric exclusion process We will show a perfect matching with [56, Eq

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.790020Z

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 0e60f1b5-a3a7-4209-8b80-97ceef85a896 · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.778893Z

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 e38f0bc1-5838-4de8-ab6b-7d0ac03d157a · outbound

This paper cites First, by parity we restrict the integral to [0,∞[ and we split the domain of integration on[0,k 0] and [k0,∞[.

Integrability and exact large deviations of the weakly-asymmetric exclusion process First, by parity we restrict the integral to [0,∞[ and we split the domain of integration on[0,k 0] and [k0,∞[

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.767593Z

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 2e18fa54-741f-4a69-8d16-cce3c4f973e4 · outbound

This paper cites We show in (SQ.2) that the rate functionΨ(u) admits the following expansion uΨ′(u) = log(1 +uωu) 2ν +uΨ′ 0(u) +O(ν) (SR.17) where Ψ0(u) is given explicitly in (SQ.8).

Integrability and exact large deviations of the weakly-asymmetric exclusion process We show in (SQ.2) that the rate functionΨ(u) admits the following expansion uΨ′(u) = log(1 +uωu) 2ν +uΨ′ 0(u) +O(ν) (SR.17) where Ψ0(u) is given explicitly in (SQ.8)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.755860Z

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 00e680be-628f-49ae-9190-c0326dcc13f3 · outbound

This paper cites We use the results and notations of Section P1.

Integrability and exact large deviations of the weakly-asymmetric exclusion process We use the results and notations of Section P1

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.744301Z

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 f09e3e77-cf17-4853-995a-72bc6380508d · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.731791Z

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 7b93dd59-9ad0-47a6-b408-2b1c14fcd5b2 · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.720401Z

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 c085ef50-d022-4e52-b3bb-91480c58f416 · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.710181Z

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 a4779e00-419e-43b1-a15b-e61039147eb8 · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.700359Z

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 c6138a0f-c509-4b14-92dc-2df16c2ba2fc · outbound

This paper cites We show in this Section that this range can be extended tou∈ [uc,∞[, withuc < 0, and additionally thatΨ(u) possesses several branches.

Integrability and exact large deviations of the weakly-asymmetric exclusion process We show in this Section that this range can be extended tou∈ [uc,∞[, withuc < 0, and additionally thatΨ(u) possesses several branches

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.687479Z

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 4a17af74-8954-499c-a999-b2ba3818b515 · outbound

This paper cites Its Jacobian reads du u = g′(κ) g(κ) dκ = (−8Tν 2κ + κ ( 2− 8w2) (4κ2− 1) (w2−κ2))dκ (SS.7) Let us study the structure of the solutions, see Fig.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Its Jacobian reads du u = g′(κ) g(κ) dκ = (−8Tν 2κ + κ ( 2− 8w2) (4κ2− 1) (w2−κ2))dκ (SS.7) Let us study the structure of the solutions, see Fig

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.674768Z

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 22361519-a08a-45d4-b489-605b2c10465b · outbound

This paper cites [50] (see also [53] for subsequent work).

Integrability and exact large deviations of the weakly-asymmetric exclusion process [50] (see also [53] for subsequent work)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.658487Z

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 ea247632-5354-41ed-bc6e-3ca82e3c9238 · outbound

This paper cites an unresolved cited work.

Integrability and exact large deviations of the weakly-asymmetric exclusion process Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:52:18.644913Z

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 edce2c89-29d2-4875-a094-e5ee2ab0c924 · outbound

This paper cites We report the plots in Fig.

Integrability and exact large deviations of the weakly-asymmetric exclusion process We report the plots in Fig

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.634096Z

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 63c7eef2-f3a6-40cc-9d60-571cc62042f1 · outbound

This paper cites We will use the results from Section R1 for the asymptotics ofuΨ′(u), which we will complement with the one ofu∆′(u) obtained above.

Integrability and exact large deviations of the weakly-asymmetric exclusion process We will use the results from Section R1 for the asymptotics ofuΨ′(u), which we will complement with the one ofu∆′(u) obtained above

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.623317Z

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 f346d107-dccc-48cc-be3a-ae108c6f3b47 · outbound

This paper cites One can ask about the asymptotic behavior near the wall.

Integrability and exact large deviations of the weakly-asymmetric exclusion process One can ask about the asymptotic behavior near the wall

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.609602Z

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 2042249d-7744-4c79-a32a-3256b45fe8f1 · outbound

This paper cites In that regime we will find that Jc≃⟨J⟩≃ νT 2.

Integrability and exact large deviations of the weakly-asymmetric exclusion process In that regime we will find that Jc≃⟨J⟩≃ νT 2

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.594484Z

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 939003f1-7a31-4a0f-b851-8e8032e70e92 · outbound

This paper cites The mappings between symmetric exclusion processes (including the SSEP) and isotropic spin chains was considered in [89], and [44, 45].

Integrability and exact large deviations of the weakly-asymmetric exclusion process The mappings between symmetric exclusion processes (including the SSEP) and isotropic spin chains was considered in [89], and [44, 45]

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:52:18.915902Z

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.

Pith citing papers

Observation 2cfbf4e5-78d9-4bf1-bdad-f2cedd9fc415 · inbound

Full stochastic dynamics of a tracer in a dense single-file system cites this paper.

Full stochastic dynamics of a tracer in a dense single-file system Integrability and exact large deviations of the weakly-asymmetric exclusion process

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:44:13.444627Z

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.