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Paper Citation Record · LEDGER

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis

As of 5 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2604.16795.

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

pith.paper-citation-record.v1
2604.16795 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T07:38:24.275926Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy6
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 26def303-3a36-4cba-8c9c-09846d6083c8 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.104247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 9e59a8a1-4bf5-4fd2-858d-b7a920535c65 · outbound

This paper cites ALEA Lat.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis ALEA Lat

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T13:00:11.067500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation d63858b3-23dc-449b-a15d-adbd86cb4e3b · outbound

This paper cites Mathematics and its Applications (Soviet Series), vol.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Mathematics and its Applications (Soviet Series), vol

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T13:00:11.070486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation e7462d9c-3cf2-478e-9c65-52c83eacdde3 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.073237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:4f3f509bdc2dfa8c46adca7d8ec268a7bb4b84936d9b12bc68bf0f22a0c3e194

Observation 2058bd0d-f85b-4215-985e-04762eda51a3 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.064693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:108ed9fb506e6540bc2434c625b1392e5133d9c17987747f417956a988ff6541

Observation 542754ba-ff38-4d79-9f99-1580e3ebaa60 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.075860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:592d95092d873b80e455430c13b967d72c11019ca29d34ff5a5ee5c6f704f9cf

Observation 71d67dd4-1e57-4c04-887e-3108bf6bbbcf · outbound

This paper cites Grundlehren der Mathematischen Wissenschaften.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Grundlehren der Mathematischen Wissenschaften

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T13:00:11.079090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation b1f5dfe8-52b8-4e3b-ae6a-c5bb660a8b59 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.081985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:86054cc0f2191acaee2dfaa950fa8a868835310375872312390f862953348ec8

Observation 35c6ce09-15cd-4115-85f6-746a43509c44 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.061795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:e3b8b87cee10806b6c61514dd49e97535c30fbf33afdebab660b656b5b85afb1

Observation 274fe938-b087-45cf-8f6a-d11ccbe267d4 · outbound

This paper cites Branching diffusion processes and spectral properties of Feynman-Kac semigroup.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Branching diffusion processes and spectral properties of Feynman-Kac semigroup

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-10T07:47:12.888114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:cd740bfb12aa177d9dc604db9d20913ae61210531d3c571f04a1f7a6fc613e34

Observation 85307f0a-e5da-48c9-a526-483ccef645e6 · outbound

This paper cites Long time behavior and Yaglom limit for real trait-structured Birth and Death Processes.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Long time behavior and Yaglom limit for real trait-structured Birth and Death Processes

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-10T07:47:12.885580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:437392917bddccb7061ce1b7bb9d5e5b1982d049cf3d990e573b7afbfc49f4bc

Observation 2491d9f7-8494-40d0-baa3-2148df396877 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.058660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:c155e0ec2805ebd179088c3224d8ad7bc278ba1923f8349579363cad63a405e9

Observation acf036f5-a5ac-4172-bf45-65b87004eb73 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.084580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:b5adb6d21aa59dd25179909e536d68d960c0bf5e406f21f539552bf6d0ee2a92

Observation 41cb14ae-5cb8-416e-be73-63490d7b14a1 · outbound

This paper cites Stochastic Process.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Stochastic Process

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T13:00:11.113140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:1894d800871e7b8642c771fedb055d55bb988dda3ff1fab5d83fa9de21d496a6

Observation 120ffe81-018e-4896-a190-0294e1826c16 · outbound

This paper cites Electron.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Electron

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T13:00:11.092569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:0a8e091c98f46a02303eeaab0839af58be92bfafedf4623720479a6f9e8193dc

Observation be30edc2-0632-40e8-bf12-7ae7e128415b · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.095834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:c7db327ce4238311c1055322e17dd227cdd2c48b1dac16cef5728ec83ebe4bdb

Observation da4571ed-dffa-485a-add1-3b498ab74473 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.087130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:9c17f723cdba1fd550b81874e0ba7c31c9e0f918e5373c749fad78b32e47800b

Observation f9a34f22-3a86-4a9a-a3f4-93a84109fdca · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.090029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:9e8ab341f742e7835297bec5686c45557aa60c7c4b5147f124a59594fa114e19

Observation 40564f45-adef-456c-ac6b-06e424ad750d · outbound

This paper cites Electron.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Electron

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T13:00:11.101418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 58ad2a25-997e-4cfa-b57e-51ca62c2bc35 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.098697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 70801910-f897-4808-b6dd-125e28e35bec · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.107519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation e14cafa4-1bbd-4199-917b-7836618eb3a3 · outbound

This paper cites an unresolved cited work.

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-21T13:00:11.110183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T07:38:24.275926Z digest=sha256:24150edd8063f1eb350a5b7c612f62914fc7099e1036fe1726169b2874a0404e

Pith citing papers

No inbound Pith citation observations are available.