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Paper Citation Record · LEDGER

Equilibrium Analysis of Discrete Stochastic Population Models with Gamma Distribution

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2411.15859.

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

pith.paper-citation-record.v1
2411.15859 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:56:28.299607Z

measured 25 of 25 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 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

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved14
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cec7a91d-7aef-4d20-aca6-d0f3931afd90 · outbound

This paper cites an unresolved cited work.

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

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:56:28.867198Z

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.

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Observation 6369c0ea-896d-4b13-bf0e-fd5ef6994715 · outbound

This paper cites an unresolved cited work.

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

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:56:28.844331Z

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.

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Observation e5d4acfd-e51a-4fad-8182-82f18e49ebf8 · outbound

This paper cites an unresolved cited work.

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

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T13:56:28.193904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:56:28.193904Z digest=sha256:76839345a80abb48ffebd7a8a98b905df80c155adfe96b6ffb96f58f2bd58f6d

Observation 534afb30-4f68-41ee-ae2a-fd4c9992bec7 · outbound

This paper cites Dennis and R.

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

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T13:56:28.198752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:56:28.198752Z digest=sha256:6694ffb9789e25aee41c5274c3bbfad14ffee57bb0b091bcbc6a8fd6a78e0b02

Observation dfbb53c2-af8e-47a2-be71-25fc922ab1c2 · outbound

This paper cites an unresolved cited work.

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

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:56:28.798272Z

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.

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Observation a993f4fb-80c2-4570-958e-47ae199f91df · outbound

This paper cites Matis, Thomas R.

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

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:56:28.782854Z

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.

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Observation 7ad4504a-6a98-4f91-908f-fd636f2761d3 · outbound

This paper cites an unresolved cited work.

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

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T13:56:28.214388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:56:28.214388Z digest=sha256:fb15aa7b7ff9fdaba3672711d85f2e208aa5e75426cfe96211a1cdac0ae83679

Observation acfc7df4-5f2b-482a-923f-895039efe8b1 · outbound

This paper cites Kot, Elements of Mathematical Ecology.

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

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T13:56:28.218804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:56:28.218804Z digest=sha256:38eef46348d55b78ef45a3438c9330be1cc83e2be7580beab61d3ac9975aaa3d

Observation 216e1bc3-6b21-4aca-bc1f-e17749513960 · outbound

This paper cites an unresolved cited work.

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

Reference 11

Resolution
malformed identifier
doi_truncated, observed 2026-08-12T13:56:28.334964Z

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=2026-08-12T13:56:28.223246Z digest=sha256:160107a5e12cbf6c779b53a2a6dd141170c596431bdf05a03ce7b12a624326f8

Observation becb931b-5fe2-46df-9db2-9240dd2687c5 · outbound

This paper cites Braverman, A.

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

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:56:28.748469Z

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=2026-08-12T13:56:28.227802Z digest=sha256:b561786e6bd56f5a2521ce05a7d5e7ee9c16ac3c81dc00f0ff3a0df4caf111c6

Observation e35d2ce7-50b6-448d-94ba-0f1f765629c8 · outbound

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

Equilibrium Analysis of Discrete Stochastic Population Models with Gamma Distribution Density Dependence in Rangelan d Grasshoppers (Orthoptera: Acrididae)

Reference 16

Resolution
verified exact
raw_fallback, observed 2026-08-12T13:56:28.578876Z

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.

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Observation fd9d7f61-3fce-4bbc-be4c-911e1f5ca34d · outbound

This paper cites an unresolved cited work.

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

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:56:28.688438Z

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.

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Observation d0d4dcd6-a0f3-46fb-bf9d-5c5475cc7abf · outbound

This paper cites an unresolved cited work.

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

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:56:28.673922Z

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=2026-08-12T13:56:28.251678Z digest=sha256:940a8df9ae8e4815207b0ef92ef98c75cc464ff5e35ab3eb27b735c69b214492

Observation 658923f3-fba3-428b-a21d-64d00485137e · outbound

This paper cites an unresolved cited work.

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

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:56:28.659725Z

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=2026-08-12T13:56:28.255721Z digest=sha256:7a0e2e4ffe8f2d58712394df31a40fcee4ed18acd2ad4fbf3f59831b0474cdc2

Observation f1c53065-16b9-4fbd-af7e-147b1d7175eb · outbound

This paper cites Braverman, A.

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

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:56:28.644374Z

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=2026-08-12T13:56:28.259552Z digest=sha256:a7ea297a956018f875760df2032eb0b754e746e74598da9958ccab2e0dd95d32

Observation 39d75ebd-7a36-43df-a7fe-49623912b482 · outbound

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

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

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:56:28.734114Z

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=2026-08-12T13:56:28.263499Z digest=sha256:37dd96d9766b2991fa81696ef747d6da0be173a4f4fbbd75b3f81c65736893a9

Observation aa608886-0a5e-4cf0-b449-3805ec6b1002 · outbound

This paper cites Cheke, Qianqian Zhang, San yi Tang, (2024).

Equilibrium Analysis of Discrete Stochastic Population Models with Gamma Distribution Cheke, Qianqian Zhang, San yi Tang, (2024)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:56:28.719371Z

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=2026-08-12T13:56:28.267330Z digest=sha256:7356fd672ffa1259f3dca85d9ca3ca60484723a54ab23c5be9de56c4ffc070ab

Observation 472f1990-7980-4ad1-90e6-ffd052c0a19c · outbound

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

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

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:56:28.702992Z

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.

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Observation a362c44a-73ce-40ed-9b60-4cf856db38f0 · outbound

This paper cites an unresolved cited work.

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

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-12T13:56:28.274792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:56:28.274792Z digest=sha256:31a676458b31d2f0e7ce460a3552d3475b640bad183974b273a870444df51fa3

Observation 8cb4194d-dbc3-4c27-93ed-8545ca9ca319 · outbound

This paper cites Engen, (1978).

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

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:56:28.620152Z

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=2026-08-12T13:56:28.278926Z digest=sha256:5f6d82de17372a35ada67bb92911d5ac49990400d2d3310b9c7f19560665f156

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

This paper cites Gamma Distribution for Equilibrium Analysis of Discrete Stochastic Logistic Population Models.

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.

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Observation 26161a3a-dbb5-4958-9ee6-d7b97be7f745 · outbound

This paper cites an unresolved cited work.

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

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-12T13:56:28.287282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:56:28.287282Z digest=sha256:68c01963cf6b140cc5e7ed41fdb0059e75682b3f58047f06c1efa319742635e1

Observation 1d1e8375-9e55-4593-878b-d739ad6a02b6 · outbound

This paper cites an unresolved cited work.

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

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-12T13:56:28.290891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:56:28.290891Z digest=sha256:b92d701cfe2e71e08d3622263637ec48243f1c58dbca3f80f08a2e8f342deb24

Observation 902b7fd1-3776-4de8-a1f6-60ca2a09af38 · outbound

This paper cites Dennis and G.

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

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:56:28.830723Z

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.

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Observation f9637c7b-447a-46e5-8a53-27dc02e1fb92 · outbound

This paper cites an unresolved cited work.

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

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:56:28.594925Z

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.

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Pith citing papers

No inbound Pith citation observations are available.