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Paper Citation Record · LEDGER

Population size in stochastic discrete-time ecological dynamics

As of 19 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2507.09325.

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

pith.paper-citation-record.v1
2507.09325 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:14:58.481102Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

6 of 6 outbound references displayed

  • verified exact2
  • verified fuzzy1
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09ee59b9-ac17-4803-b643-e04f9df752da · outbound

This paper cites Selfimprovemvent of the inequality between arithmetic and geometric means.

Population size in stochastic discrete-time ecological dynamics Selfimprovemvent of the inequality between arithmetic and geometric means

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:14:58.739497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:14:58.058843Z digest=sha256:54c58a9345593a673848e0beb83163c9bed14aefbebf70f78450222261aa5ed2

Observation 55c03bdf-f422-4331-9329-5004614ebc66 · outbound

This paper cites an unresolved cited work.

Population size in stochastic discrete-time ecological dynamics Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:14:59.256402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:14:58.196917Z digest=sha256:e7fca7950fdeb241e7d2834a0db19243cbd04f034c77c07f9dc1a5ca71723a9e

Observation a4e6e6c6-b2ca-4936-9057-caf126ae1490 · outbound

This paper cites an unresolved cited work.

Population size in stochastic discrete-time ecological dynamics Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:14:59.094453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:14:58.350162Z digest=sha256:f08ba4d9eead043f70db2750b9089f444768724c4fffdf2fdf3771428248bf77

Observation 5a10acd4-914e-4807-a577-3391e8408af1 · outbound

This paper cites The competitive exclusion principle in stochastic environments.

Population size in stochastic discrete-time ecological dynamics The competitive exclusion principle in stochastic environments

Reference 64

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:14:58.611599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:14:58.264582Z digest=sha256:d6d09435a89607fed03d028a59f5e26925b32d9330216c980478c8e8b86034ab

Observation 68a68712-d299-4d86-be7a-a6857d76bf1f · outbound

This paper cites (2013), Population dynamics in variable environments , Vol.

Population size in stochastic discrete-time ecological dynamics (2013), Population dynamics in variable environments , Vol

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:14:58.928877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:14:58.481102Z digest=sha256:f9dfd155786587f2c4419872ba015d3548640ada0f80e697fcfe189ba566f8bb

Observation 094432bc-ad5e-46db-b72c-d177c637bd6d · outbound

This paper cites Stochastic Persistence.

Population size in stochastic discrete-time ecological dynamics Stochastic Persistence

Reference 109

Resolution
unresolved
no resolver link, observed 2026-08-06T18:14:58.106157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:14:58.106157Z digest=sha256:2bdad1ccbd1a5b9743fa03f940404be6685e05bcf6cd0fd01e654f79b5be280c

Pith citing papers

No inbound Pith citation observations are available.