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Paper Citation Record · LEDGER

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models

As of 13 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2411.10167.

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

pith.paper-citation-record.v1
2411.10167 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:00:21.964180Z

measured 22 of 22 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:56:28.282820Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T13:56:28.351343Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b8784d48-ef63-49cd-a87a-f2a2cfe92a6f · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.881641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.881641Z digest=sha256:63e5e27effcc3f05ec1985df554d3a50cbac490e7b44c1bec35e5064e69fd3ba

Observation f533de33-96a1-4022-be68-bd845fe501ff · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.886050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.886050Z digest=sha256:80e8c31fbd8f7da79a92427ddcfa3d24bb0a866310c4a330abd7d7b761f264e1

Observation 9ad54bbe-472f-4ff9-8ddd-0e13c3511b87 · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T20:00:22.240278Z

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.

source=pdf_text observed=2026-08-12T20:00:21.890252Z digest=sha256:a6fc0b1f2e0f785594f56714800fb4fb1f13ec3399409b2fa99ee4fb63324268

Observation 8d03da35-9793-440d-bcbf-d4a36b9e7691 · outbound

This paper cites Dennis and G.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Dennis and G

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.893870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.893870Z digest=sha256:0f49ec4d73226cc78973aae91ffd45a4d002b19ef9c54a4f4bc4006bec9b012f

Observation b50e2507-12af-48e8-ae77-ddb3e8618aba · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.898061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.898061Z digest=sha256:aa0e0a4bbec1bf0a8592e6a77940ee918ee0e113c15b4a72c2f89da419593dc7

Observation 3124ff0b-7f24-47a3-a20b-ffb2dddd14a0 · outbound

This paper cites Dennis and R.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Dennis and R

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.902528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.902528Z digest=sha256:94cec43e4bdfe6741481d72a0b8dc9bcb0d1a7a131478602474d5c67a21efa17

Observation 2bd6c628-68ff-4d47-a105-e4226472e9a6 · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.907423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.907423Z digest=sha256:1d84ec79f2834881017ea8e5fd70c6de728a600b755b2a34b7803ca7b073994d

Observation 5f593789-8da1-4f9d-b8d3-99cfa77e8cc7 · outbound

This paper cites Matis, Thomas R.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Matis, Thomas R

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.911370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.911370Z digest=sha256:894057e377fd2f91c9e03153b56a46aad6bd9b4e5a5aa15f677b7a5edc11d339

Observation 2283e8f1-1b46-4ca2-b502-be2ea187c73c · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.915357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.915357Z digest=sha256:15800ba673cdef3ed809b3c5de74f10a7100af09ba1cdca443329347a3c5333c

Observation 87811a72-3af6-46d2-b882-6e6d345e64f7 · outbound

This paper cites Kot, Elements of Mathematical Ecology.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Kot, Elements of Mathematical Ecology

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T20:00:22.183119Z

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.

source=pdf_text observed=2026-08-12T20:00:21.919007Z digest=sha256:6f369d58ef55946b1ff59a5d76c51a5ad782c71c95d9e979b81caf180fc34e16

Observation 7c4e44dd-57ae-4b71-9b46-cccb489b4647 · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-08-12T20:00:22.001491Z

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.

source=pdf_text observed=2026-08-12T20:00:21.923133Z digest=sha256:d193609d21fccd648e5154eff04119884ad6998d6e94f2862921ce6f471d4aeb

Observation 64c03fc6-7ba0-4047-8a3c-211179e30ac6 · outbound

This paper cites Density Dependence in Rangeland Grasshoppers (Orthoptera: Acrididae).

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Density Dependence in Rangeland Grasshoppers (Orthoptera: Acrididae)

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.927252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.927252Z digest=sha256:9cd3e020478784de9ee5452f58de87831d633862d57bfca12bd61773728256da

Observation 030627f1-29ec-452a-89df-f7ac864eed47 · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.931140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.931140Z digest=sha256:7056c8b9c0c65b49dd41d01a0761db498c8a9e038234b2e020b60f66967632ae

Observation 1b90dabf-3de8-4dd6-89dc-42c8e2c86103 · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.935631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.935631Z digest=sha256:ca7db8985c115441a605fa45b91a3c116ba4585a60169939e468236b2d6ed4cd

Observation 05b7d1a5-6816-4278-8812-716c0549763b · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T20:00:22.155840Z

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.

source=pdf_text observed=2026-08-12T20:00:21.939327Z digest=sha256:89ec2f28d7bfeea6a220775ecf0b4f90e00dc5ae70e46063316843ef21d46e17

Observation f658d2d9-6eeb-4949-918d-44d725188837 · outbound

This paper cites Braverman, A.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Braverman, A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T20:00:22.143200Z

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.

source=pdf_text observed=2026-08-12T20:00:21.943593Z digest=sha256:b0f3a5d4e9a8fc2dc5a88db5780dc6c3d49fa2ab86e7a00337cd40136c1d3714

Observation 99b6f18f-5f2a-42b4-bbf1-f041a4d5528b · outbound

This paper cites Random varia- tion in model parameters: A comprehensive review of stochastic logistic growth equation , Ecological Modelling, Volume 484, 2023, 110475.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Random varia- tion in model parameters: A comprehensive review of stochastic logistic growth equation , Ecological Modelling, Volume 484, 2023, 110475

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T20:00:22.130127Z

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.

source=pdf_text observed=2026-08-12T20:00:21.947869Z digest=sha256:cecf7dcbfa2e13739c0e1cb38e3ad2d5b79a80f1dc121e42449b241f1d1b4d52

Observation 1e6c04ee-2ef4-413a-bc74-07a04acf5425 · outbound

This paper cites Theoretical Population Biology, Volume 63, Issue 2, 2003, Pages 159-168,.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Theoretical Population Biology, Volume 63, Issue 2, 2003, Pages 159-168,

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.952074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.952074Z digest=sha256:73c1d91283b90a5492507f2cd904de12c9a26bb86223e16ba5e3a2c68be15439

Observation 7d8c9f0e-46c2-4218-8d2d-904936143b09 · outbound

This paper cites an unresolved cited work.

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.956212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.956212Z digest=sha256:2d9da3c2a07241ff5cdf0bad5df5ed2d767dae939e86b64792db5f96bf623a32

Observation 308501ec-af7f-44aa-8ad2-35c99ad072b3 · outbound

This paper cites Engen, (1978).

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models Engen, (1978)

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-12T20:00:21.959933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:00:21.959933Z digest=sha256:2750ebd2c520a6ef93fb1a7ca062fba854677338fd0cf111b9de0b007e43e10c

Observation f1ff668d-36b8-44ac-bcb5-5d7ee9a53d01 · outbound

This paper cites and Huang, Shuo and Jiang, Jifa and Wang, Hao (2021).

Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models and Huang, Shuo and Jiang, Jifa and Wang, Hao (2021)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T20:00:22.090911Z

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.

source=pdf_text observed=2026-08-12T20:00:21.964180Z digest=sha256:50607ab493a82635e16d20880716dd816bdba62e7fc5c811cfe475b4fc126b0d

Pith citing papers

Observation 0ca1daa9-6d7b-4503-abd1-7724790432b8 · inbound

Equilibrium Analysis of Discrete Stochastic Population Models with Gamma Distribution cites this paper.

Equilibrium Analysis of Discrete Stochastic Population Models with Gamma Distribution Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-12T13:56:28.357040Z

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.

source=pdf_text observed=2026-08-12T13:56:28.282820Z digest=sha256:a7afe42a91008617be3b2fc434a2305b093d67635459630cb04a194dfe658a60