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Paper Citation Record · LEDGER

Approximate factorizations for non-symmetric jump processes

As of 18 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2504.14763.

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

pith.paper-citation-record.v1
2504.14763 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:48:44.725464Z

measured 42 of 42 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:20:39.325024Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T16:20:39.636852Z

Reference resolution

40 of 40 outbound references displayed

  • verified exact2
  • verified fuzzy17
  • unresolved21
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c504cb9-f913-4a48-ae72-ab8a6a1bc052 · outbound

This paper cites Abatangelo, X.

Approximate factorizations for non-symmetric jump processes Abatangelo, X

Reference 1

Resolution
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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.

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Observation d89599c5-f804-4b2d-a715-e05c6d424f97 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 2

Resolution
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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.

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Observation 592157ca-1494-44dd-b6b9-94ce10a198d7 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 3

Resolution
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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.

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Observation b20fbf50-b3a1-4c19-9c55-663bfcaa76fe · outbound

This paper cites Benveniste, J.

Approximate factorizations for non-symmetric jump processes Benveniste, J

Reference 4

Resolution
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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.

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Observation bb7ee23f-c8a1-4a1d-a05c-aadf87d14149 · outbound

This paper cites Bogdan, K.

Approximate factorizations for non-symmetric jump processes Bogdan, K

Reference 5

Resolution
verified fuzzy
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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.

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Observation 89277e64-098b-41ae-a755-adb5d39531af · outbound

This paper cites Bogdan, T.

Approximate factorizations for non-symmetric jump processes Bogdan, T

Reference 6

Resolution
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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.

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Observation 694b2d49-d582-4bab-bf7b-665c874124a7 · outbound

This paper cites Uniform boundary Harnack principle for non-local operators on metric measure spaces.

Approximate factorizations for non-symmetric jump processes Uniform boundary Harnack principle for non-local operators on metric measure spaces

Reference 7

Resolution
verified exact
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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.

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Observation 5126dbad-1e0f-42cf-b907-f6f5da9da96e · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 8

Resolution
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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.

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Observation e8f0beb6-86a1-401f-9811-00f7fcc52690 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 9

Resolution
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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.

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Observation 6a3c5aee-9e59-4e2f-b52c-61c289fe3447 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 10

Resolution
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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.

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Observation 80098677-f2ad-4f31-b12d-45ce6c349fba · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 11

Resolution
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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.

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Observation 2c8ad5dd-283e-4c33-bb92-4d32c1a1491b · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 12

Resolution
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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.

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Observation 3e5d9f21-c3fb-46a3-aa69-a9eb5b506e3c · outbound

This paper cites Markov processes with jump kernels decaying at the boundary.

Approximate factorizations for non-symmetric jump processes Markov processes with jump kernels decaying at the boundary

Reference 13

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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.

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Observation 0302bf8e-dbde-44a1-8947-3c83d4cc0e15 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 14

Resolution
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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.

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Observation 1657dd7f-78e8-4403-9d52-124993ab24d2 · outbound

This paper cites Dipierro, X.

Approximate factorizations for non-symmetric jump processes Dipierro, X

Reference 15

Resolution
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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.

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Observation 3629cff5-dc7f-4722-a110-a2aa37725e0e · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 16

Resolution
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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.

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Observation b0b6e254-42df-4630-b957-f54e97cbdafd · outbound

This paper cites Grubb: Fractional Laplacians on domains, a development of H¨ ormander’s theory of µ-transmission pseudodifferential operators.

Approximate factorizations for non-symmetric jump processes Grubb: Fractional Laplacians on domains, a development of H¨ ormander’s theory of µ-transmission pseudodifferential operators

Reference 17

Resolution
verified fuzzy
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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.

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Observation 1d92c24c-f367-4c95-bf8d-ff80d83cfe4f · outbound

This paper cites Boundary regularity and Hopf lemma for nondegenerate stable operators.

Approximate factorizations for non-symmetric jump processes Boundary regularity and Hopf lemma for nondegenerate stable operators

Reference 18

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f18f2c24-cd7f-45b1-8798-f19acfd61e1a · outbound

This paper cites Juszczyszyn: Decay rate of harmonic functions for non-symmetric strictly α-stable L´ evy processes.

Approximate factorizations for non-symmetric jump processes Juszczyszyn: Decay rate of harmonic functions for non-symmetric strictly α-stable L´ evy processes

Reference 19

Resolution
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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.

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Observation 8c23111d-70bd-4d79-9338-4b0170bd8867 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 20

Resolution
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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.

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Observation 94398a06-b6cf-4130-ab2f-2a8c668b9474 · outbound

This paper cites Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes inC 1,η open sets.

Approximate factorizations for non-symmetric jump processes Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes inC 1,η open sets

Reference 21

Resolution
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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.

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Observation a4259e1a-a1b6-44ce-8e58-80bf76fbe762 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 22

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a19ca31e-0b76-4bb5-8c97-8835dd2b6356 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 23

Resolution
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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.

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Observation 242a6a90-b7fe-4df8-8925-0434b173d3c2 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 24

Resolution
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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.

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Observation 88c5f9cf-4fd3-44e5-9617-3c5cb10e4a89 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 25

Resolution
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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.

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Observation 5927d073-e8d0-48b4-af04-f480fb694267 · outbound

This paper cites Masamune, T.

Approximate factorizations for non-symmetric jump processes Masamune, T

Reference 26

Resolution
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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.

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Observation e83ce2b5-2466-4e45-9716-45899b413732 · outbound

This paper cites Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations.

Approximate factorizations for non-symmetric jump processes Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations

Reference 27

Resolution
verified fuzzy
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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.

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Observation 20081a0c-bf35-48fc-87e7-afb3f7375401 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 28

Resolution
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raw_fallback, observed 2026-08-16T11:48:45.701616Z

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.

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Observation d37b27e2-7207-4ef7-adad-8dfa73e5fdca · outbound

This paper cites Ros-Oton, J.

Approximate factorizations for non-symmetric jump processes Ros-Oton, J

Reference 29

Resolution
verified fuzzy
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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.

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Observation f4614edd-5c1f-4c32-ad61-a64ba96ee29d · outbound

This paper cites Ros-Oton, J.

Approximate factorizations for non-symmetric jump processes Ros-Oton, J

Reference 30

Resolution
verified fuzzy
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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.

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Observation edd9e340-830c-4855-bc3a-fd4b3441643c · outbound

This paper cites Ros-Oton, J.

Approximate factorizations for non-symmetric jump processes Ros-Oton, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:48:45.462528Z

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.

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Observation b75ce0fe-4bf2-48d5-a45d-fd6e5eb19628 · outbound

This paper cites Ros-Oton, J.

Approximate factorizations for non-symmetric jump processes Ros-Oton, J

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:48:45.448794Z

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.

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Observation 926b77d8-8f63-4d35-ad8e-c31f7d8c3ffd · outbound

This paper cites Optimal regularity for nonlocal elliptic equations and free boundary problems.

Approximate factorizations for non-symmetric jump processes Optimal regularity for nonlocal elliptic equations and free boundary problems

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-16T11:48:44.597365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 591580b3-6ca1-424d-8d88-d209eb2401df · outbound

This paper cites Sato: L´ evy processes and infinitely divisible distributions.

Approximate factorizations for non-symmetric jump processes Sato: L´ evy processes and infinitely divisible distributions

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:48:45.310855Z

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.

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Observation 4b5b3e30-5a21-49a2-b677-3cddf4af6571 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:48:45.296554Z

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.

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Observation 9d7f218a-4807-47ca-a4bd-87bd7e1db8c5 · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 36

Resolution
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raw_fallback, observed 2026-08-16T11:48:45.282594Z

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.

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Observation 78dc76cd-5656-4aa8-b9c7-67f76630783a · outbound

This paper cites an unresolved cited work.

Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:48:45.170275Z

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.

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Approximate factorizations for non-symmetric jump processes Unresolved cited work

Reference 38

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This paper cites Watanabe: Asymptotic estimates of multi-dimensional stable densities and their applications.

Approximate factorizations for non-symmetric jump processes Watanabe: Asymptotic estimates of multi-dimensional stable densities and their applications

Reference 39

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This paper cites Ying, Bivariate Revuz measures and the Feynman-Kac formula.

Approximate factorizations for non-symmetric jump processes Ying, Bivariate Revuz measures and the Feynman-Kac formula

Reference 40

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Pith citing papers

Observation 670ddc65-130f-4843-b559-9636c50a853e · inbound

Heat kernel estimates for Markov processes with blowing-up jump kernels cites this paper.

Heat kernel estimates for Markov processes with blowing-up jump kernels Approximate factorizations for non-symmetric jump processes

Reference 18

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Capacitary estimates for solutions to nonlocal Dirichlet problems cites this paper.

Capacitary estimates for solutions to nonlocal Dirichlet problems Approximate factorizations for non-symmetric jump processes

Reference 1998

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