Paper Citation Record · LEDGER

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

As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2608.11178.

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

pith.paper-citation-record.v1
2608.11178 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:45:13.175922Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

34 of 34 outbound references displayed

verified exact2
verified fuzzy3
unresolved29
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51b48355-fcf3-45da-a8ff-45ef28b41380 · outbound

This paper cites Albeverio, Z.

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

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.062347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64bb7d2f-625d-4118-82fe-93398a775c56 · outbound

This paper cites an unresolved cited work.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:45:13.641999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 036a80fa-a1bf-4205-a7d9-fc3661723e5a · outbound

This paper cites Albeverio, R.

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

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.070407Z

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Observation c06170fc-943e-4e95-8649-9526b99c8792 · outbound

This paper cites Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.074075Z

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Observation a504c5a2-8ca1-4d19-a90e-b8eb4a5d460b · outbound

This paper cites The critical 2D delta-Bose gas as mixed-order asymptotics of planar Brownian motion.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ The critical 2D delta-Bose gas as mixed-order asymptotics of planar Brownian motion

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.077917Z

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Observation f9f69c1c-de2c-4907-9f94-063d7d8ce54b · outbound

This paper cites Chen:Two-dimensional delta-Bose gas: Skew-product relative motions, Ann.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Chen:Two-dimensional delta-Bose gas: Skew-product relative motions, Ann

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.081623Z

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Unavailable: canonical work link unavailable.

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

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

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

Unavailable: canonical work link unavailable.

Observation 8bd6b63a-cb7c-4594-86f7-53a9258728ec · outbound

This paper cites Clark, B.

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

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.089034Z

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Unavailable: canonical work link unavailable.

Observation cdcc45f6-0fa5-47d9-840e-b9bb4a69f42b · outbound

This paper cites Continuum polymer measures corresponding to the critical 2d stochastic heat flow.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Continuum polymer measures corresponding to the critical 2d stochastic heat flow

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.093932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4f2ab34-77eb-4742-835d-ce6be0843894 · outbound

This paper cites Conditional GMC within the stochastic heat flow.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Conditional GMC within the stochastic heat flow

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.097800Z

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Observation 3daada34-e2c7-42d2-be84-d626b39d1399 · outbound

This paper cites Cranston, L.

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

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.101759Z

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Unavailable: canonical work link unavailable.

Observation 65e291e7-9072-4ec9-ac68-3fe60116081a · outbound

This paper cites Cranston, L.

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

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.106000Z

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Unavailable: canonical work link unavailable.

Observation 7de3b656-1fa5-4545-afd4-a9ed3e62b2a7 · outbound

This paper cites Caravenna, R.

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

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.108733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00449b49-27be-4936-ad53-913151b0b3cd · outbound

This paper cites D’Ancona, V.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ D’Ancona, V

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.111731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b750f51-63e0-4704-a06f-a0a34cfd3ae1 · outbound

This paper cites an unresolved cited work.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:45:13.583953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5534013b-5eba-48f4-a692-5dce3799399c · outbound

This paper cites an unresolved cited work.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.117177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a9371e7-077c-4127-b496-7c8218dd5757 · outbound

This paper cites Fleischmann, C.

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

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.119758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 645002d4-2a26-4f45-beff-8d5f430aef04 · outbound

This paper cites Fukushima:On a stochastic calculus related to Dirichlet forms and distorted Brownian motion, Phys.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Fukushima:On a stochastic calculus related to Dirichlet forms and distorted Brownian motion, Phys

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.122464Z

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Unavailable: canonical work link unavailable.

Observation 1242a710-c4fd-414e-b114-bf865207319b · outbound

This paper cites an unresolved cited work.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.125105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d1fcfe6-40fd-4951-a0f1-5d6a903079ff · outbound

This paper cites Stochastic heat flow is a black noise.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Stochastic heat flow is a black noise

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.127960Z

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Unavailable: canonical work link unavailable.

Observation 1948cdbe-67ea-4128-9eba-4c68a6cb5f21 · outbound

This paper cites Grummt, M.

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

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.131714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0811b01a-fe1a-49f1-b7b8-f4432f299909 · outbound

This paper cites Jin:Brownian motion with singular time-dependent drift, J.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Jin:Brownian motion with singular time-dependent drift, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:45:13.545914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 06f7c1e7-c0de-4b48-8a6a-8b3f80a3b196 · outbound

This paper cites Karatzas and S.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Karatzas and S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:45:13.535376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 53fae2b6-ae0e-4cd7-a27a-8a8617033c09 · outbound

This paper cites Kinzebulatov, K.

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

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.141945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49e7937f-b275-454b-9965-11ef0862072d · outbound

This paper cites an unresolved cited work.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.145374Z

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Unavailable: canonical work link unavailable.

Observation b422a554-71f5-43cc-989b-c5d67c0e9e8e · outbound

This paper cites an unresolved cited work.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.148774Z

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Unavailable: canonical work link unavailable.

Observation 838773e8-6f81-4f08-9844-8bfa95eef039 · outbound

This paper cites an unresolved cited work.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:45:13.511839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 66985616-1756-4402-9fa1-274cf40b74bd · outbound

This paper cites Pathwise structure of the three-dimensional attractive one-point interaction diffusion.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Pathwise structure of the three-dimensional attractive one-point interaction diffusion

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:45:13.348941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8c56599-76fb-4b33-aa92-8b498344a6e6 · outbound

This paper cites An upper bound of the lower tail of the mass of balls under the critical $2d$ stochastic heat flow.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ An upper bound of the lower tail of the mass of balls under the critical $2d$ stochastic heat flow

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.158568Z

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Unavailable: canonical work link unavailable.

Observation edb3327c-5330-4b2e-8b01-cf8ce180dae5 · outbound

This paper cites Feynman--Kac formula for the heat equation with a one-center point interaction in $d=3$.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Feynman--Kac formula for the heat equation with a one-center point interaction in $d=3$

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:45:13.321659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation eb5f7d5b-460b-4cf5-9ac7-fddd65223d70 · outbound

This paper cites an unresolved cited work.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.165817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 627773c0-104c-42af-87c3-748d2b4d9255 · outbound

This paper cites Tsai:Stochastic heat flow by moments, arXiv:2410.14657 (2024).

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Tsai:Stochastic heat flow by moments, arXiv:2410.14657 (2024)

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.169237Z

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Unavailable: canonical work link unavailable.

Observation 9c60c0f8-4fe2-4d29-9b47-6c87503dd8d3 · outbound

This paper cites Asymptotics and the sub-limit at $L^{2}$-criticality of higher moments for the SHE in dimension $d\geq 3$.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Asymptotics and the sub-limit at $L^{2}$-criticality of higher moments for the SHE in dimension $d\geq 3$

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.172583Z

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Unavailable: canonical work link unavailable.

Observation be612cb1-f6a2-4bb0-867a-6f4550d156f4 · outbound

This paper cites Zhang:Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients, Electron.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Zhang:Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients, Electron

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:45:13.495207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.