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Paper Citation Record · LEDGER

Complete left-tail asymptotic for branching processes with immigration

As of 8 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2506.03823.

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

pith.paper-citation-record.v1
2506.03823 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:05:47.499428Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 41f0a8a4-2ef6-42d2-b08c-6c8b0b40fd9a · outbound

This paper cites an unresolved cited work.

Complete left-tail asymptotic for branching processes with immigration Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:05:47.715774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.448920Z digest=sha256:33bb20826c98d73e3753db68b723d841928f44aa61c58daa95d6f902e0bfbbcc

Observation 2c5aca84-a270-4e68-a9ab-7d1361a63d9b · outbound

This paper cites an unresolved cited work.

Complete left-tail asymptotic for branching processes with immigration Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:05:47.700100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.453865Z digest=sha256:70b5a9b46b4f3c44b0edc6811bd0ba641072fecafcaf6b9dfad9d0445d5b4289

Observation 21313588-13d3-41ba-8f88-1eb8a9c9342b · outbound

This paper cites D., Bingham, N.H.: Large deviations in the supercritical branching process.

Complete left-tail asymptotic for branching processes with immigration D., Bingham, N.H.: Large deviations in the supercritical branching process

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:47.685809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.457940Z digest=sha256:244026862d7c56fc5d42463c8a7775dfc36481d78e8ad1aac3d1c01b80de4dd9

Observation 714bc8fd-5041-451a-a00e-4e17ce53ba50 · outbound

This paper cites A.: Complete Left Tail Asymptotic for the Density of Branching Processes in the Schröder Case.J.

Complete left-tail asymptotic for branching processes with immigration A.: Complete Left Tail Asymptotic for the Density of Branching Processes in the Schröder Case.J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:47.670965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.462062Z digest=sha256:9184bcef2d39f0cf690db3fa61d037573a0404c63e5f8bbab711ed37f5a5a9d4

Observation 221aa6cf-8cfa-4f4c-ae99-9a4bcbc398a6 · outbound

This paper cites an unresolved cited work.

Complete left-tail asymptotic for branching processes with immigration Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:05:47.656401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.466181Z digest=sha256:9b9b1bff547a33128a792940decae2a3a724595e41c02af7c6e503fbcd050135

Observation 7b8aef23-6922-4682-9bfe-18db4bbca06c · outbound

This paper cites an unresolved cited work.

Complete left-tail asymptotic for branching processes with immigration Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:05:47.641450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.470361Z digest=sha256:3c192c396c1864891ae971e0bad82b6bf6faebc9dcee4f442e6956f06dd74f23

Observation 7a6df735-53c5-4417-9ae0-fea07ec8bd95 · outbound

This paper cites V., Ren, Y.-X.: Small value probabilities for supercritical branching processes with immigration.

Complete left-tail asymptotic for branching processes with immigration V., Ren, Y.-X.: Small value probabilities for supercritical branching processes with immigration

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:47.626851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.474957Z digest=sha256:8b4d28b164db18b4a3589d225f30e81f48974d2f20f1dc11df88261b215a650b

Observation ecf3114b-af88-47d6-b359-57e43913f995 · outbound

This paper cites Galton–Watson trees with vanish- ing Martingale limit.

Complete left-tail asymptotic for branching processes with immigration Galton–Watson trees with vanish- ing Martingale limit

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:47.610314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.479424Z digest=sha256:a5f7aee716c34f066ff3340f2ebe3841a463c173a2cf068038d7f4062c2e3ebe

Observation 9b6bc2e5-9934-4b37-80c2-dabcd0c7eeb6 · outbound

This paper cites Oscillatory critical amplitudes in hierarchical models.

Complete left-tail asymptotic for branching processes with immigration Oscillatory critical amplitudes in hierarchical models

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:47.593631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.483367Z digest=sha256:d993fd1e1c64c187308354c71a9ae9ef35d7c0a406302f81649706c8bf1527f6

Observation 031c0d37-1202-45da-b6bc-728e0fcac568 · outbound

This paper cites Distribution of repetitions of ancestors in genealogical trees.

Complete left-tail asymptotic for branching processes with immigration Distribution of repetitions of ancestors in genealogical trees

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:47.578860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.487414Z digest=sha256:aaab9a54a7fee7662b484e614e979de1fb858bf84481dee1d12869392dfcd445

Observation 6b0fc8cc-a606-4838-b3ac-27cdc1c5dc7d · outbound

This paper cites Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes.

Complete left-tail asymptotic for branching processes with immigration Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:47.563726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.491479Z digest=sha256:0edddb3ee8d1627d867e359ae771a59c7226a175b2a549f2c193f386a438af08

Observation a8381f34-dd43-4f05-89eb-43d35c656655 · outbound

This paper cites an unresolved cited work.

Complete left-tail asymptotic for branching processes with immigration Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:05:47.548684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.495291Z digest=sha256:bfaaf82cd437a6048666283f70f05422b0ed3bf6fc16a07b1cc6959dde5b2c6a

Observation ae4dec81-04b3-46ec-9c93-a90dc27620c5 · outbound

This paper cites Fifth Edition by Moll, V.H.

Complete left-tail asymptotic for branching processes with immigration Fifth Edition by Moll, V.H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:47.534172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:05:47.499428Z digest=sha256:5b9463e6061db3d36dca22d3be8dd668cc6d74893294d5645f52df57ac5e5ae3

Pith citing papers

No inbound Pith citation observations are available.