Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 4 inbound Pith citation observations for arXiv:2505.01703.

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

pith.paper-citation-record.v1
2505.01703 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:23:39.384909Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:39:50.587387Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T23:17:28.966538Z

Reference resolution

42 of 42 outbound references displayed

verified exact7
verified fuzzy8
unresolved26
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f3943320-8237-42c0-8d24-82e4ec67e118 · outbound

This paper cites and Dabrowski, L.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Dabrowski, L

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.262058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e95918a-6eb4-4df3-8c67-168f6f41b1dc · outbound

This paper cites C4.36(β,t ).

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions C4.36(β,t )

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:23:41.138150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1bb5f67d-f457-4695-96fa-5eb4342478b3 · outbound

This paper cites (4.72) 40 Let us bound the two terms on the right-hand side of (4.72).

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions (4.72) 40 Let us bound the two terms on the right-hand side of (4.72)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:23:40.877048Z

Source-reported events for the cited work

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Observation 25b5ea80-01d7-40bb-a2d6-2c750274c8c6 · outbound

This paper cites (4.97) Proof.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions (4.97) Proof

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:23:40.812651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 94f93cd0-3bab-4f4a-8aa3-89ccda349c6e · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:23:40.802335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ec2d9931-98ca-4015-85a6-c4901191be74 · outbound

This paper cites sup 0≤s1̸=s2≤t0 |s1−s2|≤ε ||Zs2|2−|Zs1|2|1/2 ε η 2 ;Zs̸= 0,T 0(Z)◦ϑs≤ε # ≤ C(f) ε1−η 2 Eβ↓ z0.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions sup 0≤s1̸=s2≤t0 |s1−s2|≤ε ||Zs2|2−|Zs1|2|1/2 ε η 2 ;Zs̸= 0,T 0(Z)◦ϑs≤ε # ≤ C(f) ε1−η 2 Eβ↓ z0

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:23:40.791126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ae4921af-3770-49ec-9097-22e7c21eb953 · outbound

This paper cites The proof of Proposition 4.15 is complete.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions The proof of Proposition 4.15 is complete

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:23:40.779426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f575bd48-4016-4ba0-b466-2d8c8d911856 · outbound

This paper cites , Gesztesy, F.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions , Gesztesy, F

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.266114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fee79989-7a09-465a-bdb0-c64d0993d23b · outbound

This paper cites , Gesztesy, F.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions , Gesztesy, F

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.270857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75fd6eb8-f9f4-4129-b282-04406068332d · outbound

This paper cites , Khanin, K.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions , Khanin, K

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.275749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70cb5cfc-51cd-4339-87ba-1feaeb9f11da · outbound

This paper cites and Dol´eans-Dade, C.A.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Dol´eans-Dade, C.A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:23:40.622111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5c79c931-d0eb-4226-939a-f5fbb4e9d74f · outbound

This paper cites and Cancrini, N.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Cancrini, N

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.551077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29c2cf03-20b0-4ae5-bb16-fac5290a51d3 · outbound

This paper cites and Cancrini, N.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Cancrini, N

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.555460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea3362d9-1289-4648-8d31-298b25a74f1e · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:23:40.465991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d3df454c-3228-47d7-b274-83d02fef7ee0 · outbound

This paper cites and Zygouras, N.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Zygouras, N

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.563415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9328700d-5c68-4402-ab18-0f54d8bf815b · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.567142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84a5fe35-5aff-4342-9951-730485fc3ce5 · outbound

This paper cites Two-dimensional delta-Bose gas: skew-product relative motions.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Two-dimensional delta-Bose gas: skew-product relative motions

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.570357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c2ca493-94f9-448e-afd4-7c22fba60255 · outbound

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

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Stochastic motions of the two-dimensional many-body delta-Bose gas, II: Many-$\delta$ motions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.678173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 847b5f09-638c-42a2-a50b-074d9e20260b · outbound

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

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Stochastic motions of the two-dimensional many-body delta-Bose gas, III: Path integrals

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.682419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01ded5d1-1b43-4bee-a155-7931b3297a06 · outbound

This paper cites Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.686267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d648bb7f-2239-40c7-8c9b-b5c0ba8c1dfe · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.690300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10509b82-18df-4c8b-a9af-82edce023485 · outbound

This paper cites and Teta, A.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Teta, A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:23:40.453156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0bdefb59-4ad7-4e17-b02e-3be8dc783151 · outbound

This paper cites and Rajeev, S.G.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Rajeev, S.G

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.698975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0307472e-577f-44b1-aefc-046ceb7ff735 · outbound

This paper cites and Yor, M.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Yor, M

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.702902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6871e9f8-edeb-4998-ae66-902b8022bb0f · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-16T04:23:40.006633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 03c79a82-3600-4e69-82ce-221ba8ba322a · outbound

This paper cites and Michelangeli, A.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Michelangeli, A

Reference 26

Resolution: verified exact; doi, observed 2026-08-16T04:23:39.995370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 30d73a39-5cab-4a31-afba-153b6baf98ef · outbound

This paper cites and Hofacker, M.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Hofacker, M

Reference 27

Resolution: verified exact; doi, observed 2026-08-16T04:23:39.934863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 18d9815f-80e7-4c13-9967-16fd5b3d6564 · outbound

This paper cites , Quastel, J.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions , Quastel, J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:38.886288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f15722d-c9da-4330-b5dd-5abb23bae66a · outbound

This paper cites and Watanabe, S.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Watanabe, S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:23:40.442085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2ed10edb-44cb-4d0b-b737-e78cd7118e49 · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:39.026573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4db064c-bafb-4e84-9d95-6849a0b8dd90 · outbound

This paper cites and Shreve, S.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Shreve, S

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:39.122108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 395d829e-c4f0-406c-9ee3-b09b7ecbf462 · outbound

This paper cites and Zhang, Y.-C.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Zhang, Y.-C

Reference 32

Resolution: verified exact; doi, observed 2026-08-16T04:23:39.832949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a642eed5-23d5-4c54-aa7d-6d7a6dfae505 · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 33

Resolution: verified exact; doi, observed 2026-08-16T04:23:39.657845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a9743057-bb78-4d97-995a-d20f940b66fd · outbound

This paper cites and Watanabe, S.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Watanabe, S

Reference 34

Resolution: verified exact; doi, observed 2026-08-16T04:23:39.646680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2f214c55-7704-4a42-8a82-dff2da08d99f · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:23:40.343898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a0879c24-f379-4ab0-999b-a1579f33aa0a · outbound

This paper cites Transformations of diffusion and Schr¨ odinger processes.Probability Theory and Related Fields 82 109–136.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Transformations of diffusion and Schr¨ odinger processes.Probability Theory and Related Fields 82 109–136

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:39.315054Z

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Unavailable: canonical work link unavailable.

Observation 89d5c53f-ba27-454e-b969-a77fce899923 · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:39.365383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29c3b2ea-3320-4d12-b4e1-2d9932124a19 · outbound

This paper cites and Yor, M.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Yor, M

Reference 38

Resolution: verified exact; doi, observed 2026-08-16T04:23:39.574435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 36c2f5d7-d3e1-4f03-bb20-3e664fcb5020 · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:39.373014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6deb922-df54-4cc2-a3bb-efb728e3b528 · outbound

This paper cites and Yor, M.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions and Yor, M

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:39.376510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce503dea-3dee-468e-a2ca-f20fbb67aa59 · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-16T04:23:39.380171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76dfacf4-55f3-40f0-8d21-1bc5840a3158 · outbound

This paper cites an unresolved cited work.

Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions Unresolved cited work

Reference 42

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Pith citing papers

Observation 6b3bcd20-5626-43df-a805-68367f826b01 · inbound

Non-local SDEs, critical drifts and local blow-ups cites this paper.

Non-local SDEs, critical drifts and local blow-ups Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-02T01:06:25.044980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0f643985-ead4-4811-9b61-fb5985b6cc4a · inbound

Non-local SDEs, critical drifts and local blow-ups cites this paper.

Non-local SDEs, critical drifts and local blow-ups Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:17:28.967925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation da8d3d94-d190-41a5-bf0d-c050abbfa7c4 · inbound

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ cites this paper.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.085266Z

Source-reported events for the cited work

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

Continuous-time directed polymers to the Critical SHF via moments cites this paper.

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.