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Paper Citation Record · LEDGER

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.06880.

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

pith.paper-citation-record.v1
1908.06880 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:45:03.301569Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy23
  • unresolved4
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3ae20d42-68da-4f96-aad2-701074ac0434 · outbound

This paper cites Anderson.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Anderson

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5696c8d9-678b-4009-aa0f-c6f71acc4895 · outbound

This paper cites Anderson.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Anderson

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6041b1dc-dce8-4c90-8eb4-ef5537c36cca · outbound

This paper cites Anderson and Masanori Koyama.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Anderson and Masanori Koyama

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 21d13d0a-73a2-488f-81c9-7fc8461cc4b5 · outbound

This paper cites Anderson and Thomas G.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Anderson and Thomas G

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:45:03.205088Z digest=sha256:8d8cdcdc572c2aeff15872ed69359bb034c2c49cd1293bf1276509be48b42413

Observation 85493c15-c9cf-40e7-9102-f326ff2c4a81 · outbound

This paper cites Anderson and Thomas G.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Anderson and Thomas G

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:45:03.209599Z digest=sha256:b59b44eda6225a360a86440f15d3de3c2ac424b55f5b2598729b050ecee38c11

Observation 05ab5db7-bccc-49d3-a735-dff7aa54ef88 · outbound

This paper cites Anderson, Timo Sepp¨ al¨ ainen, and Benedek Valk´ o.Introduction to Probability.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Anderson, Timo Sepp¨ al¨ ainen, and Benedek Valk´ o.Introduction to Probability

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.589017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 35c7006a-b3d3-43fe-af40-1d5f52c1995b · outbound

This paper cites Anderson and Elizabeth Skubak Wolf.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Anderson and Elizabeth Skubak Wolf

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.577064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 76d507f5-8762-4183-803b-a011ad9bdba5 · outbound

This paper cites Anderson and Elizabeth Skubak Wolf.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Anderson and Elizabeth Skubak Wolf

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.565612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cc6bd2f0-d320-4433-9acb-82b1577294c5 · outbound

This paper cites Low variance couplings for st ochastic models of intracellular processes with time-dependent rate functions.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Low variance couplings for st ochastic models of intracellular processes with time-dependent rate functions

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 477f4dbe-21d8-480f-9b6c-5e4023979884 · outbound

This paper cites Notes on the sum and maximum of independent exponentially distributed random variables with different scale parameters.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Notes on the sum and maximum of independent exponentially distributed random variables with different scale parameters

Reference 10

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation befce8c5-e918-4c3b-9ab5-0f4a6fbf78b0 · outbound

This paper cites Stochastic gene expression in a single cell.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Stochastic gene expression in a single cell

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T12:45:03.236441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:45:03.236441Z digest=sha256:4cacffbe7bf829d09af421a45f65ad6fb0daefc363b113097ed3545f40e69e03

Observation a38ede74-4d9c-4bd4-a451-fbc35aea7f39 · outbound

This paper cites On the stability of stochastic jump kinetics.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions On the stability of stochastic jump kinetics

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.534270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:45:03.242136Z digest=sha256:8e15057bd5d7fa211979cd096c9960df5821ec6db2534d6c6e3d12ff2158a2d7

Observation 3a731438-01ab-4815-8a69-0cb6ae170d91 · outbound

This paper cites Optimizing genetic circuits by global sensitivity analysis.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Optimizing genetic circuits by global sensitivity analysis

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:45:03.246365Z digest=sha256:111fa327168b13db361e1ba4e738ce6e492db63d8c8be5467524bb069804e342

Observation 21c21ce6-71d3-4d3d-abd8-f6d9592907c3 · outbound

This paper cites A general method for numerically simulating the s tochastic time evolution of coupled chemical reactions.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions A general method for numerically simulating the s tochastic time evolution of coupled chemical reactions

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.511889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 16f04899-5dcf-481f-851c-9a5fa199b580 · outbound

This paper cites Gradient Estimation Via Perturbation Analysis.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Gradient Estimation Via Perturbation Analysis

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4c16bce5-9df1-4acb-b86f-a07db5bc7919 · outbound

This paper cites A scalable computational frame- work for establishing long-term behavior of stochastic reaction ne tworks.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions A scalable computational frame- work for establishing long-term behavior of stochastic reaction ne tworks

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.488561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9b68f1e7-b5fd-4dd1-b4f0-84da264a02fb · outbound

This paper cites Unbiased estimation of par ameter sensitivi- ties for stochastic chemical reaction networks.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Unbiased estimation of par ameter sensitivi- ties for stochastic chemical reaction networks

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.476423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:45:03.261268Z digest=sha256:37aa0e5520707c1464624e8d36ed24da5ac57e47189bebce3a585ca1d0bbf606

Observation bfa35dd1-0095-4295-b072-4d8da99b292b · outbound

This paper cites Sensitiv- ity, robustness, and identifiability in stochastic chemical kinetics mo dels.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Sensitiv- ity, robustness, and identifiability in stochastic chemical kinetics mo dels

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.465463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation dc526d04-7357-4047-8f98-4adadc5cc9d8 · outbound

This paper cites an unresolved cited work.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:45:03.453741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 531a14be-f86e-4afa-8399-4f54e0a5dbbe · outbound

This paper cites Summing up the noise in gene networks.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Summing up the noise in gene networks

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 62767620-2167-4731-9a8b-48317f65a0b1 · outbound

This paper cites an unresolved cited work.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:45:03.429727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9fcc8343-a8c2-4c81-b6e1-e7a95cec5fd2 · outbound

This paper cites Stochastic mrna synthesis in mammalian cells.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Stochastic mrna synthesis in mammalian cells

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T12:45:03.279083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:45:03.279083Z digest=sha256:a89219d7d3ccc0de2738f5035da4602fbc0f9549c638996ef6118b709847530b

Observation cfe882b1-3644-44d6-b260-c1c22e898780 · outbound

This paper cites Moment growth bounds on continuous time m arkov processes on non-negative integer lattices.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Moment growth bounds on continuous time m arkov processes on non-negative integer lattices

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.410518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8eb72c4c-2a4d-48dc-9d60-c73e606e399f · outbound

This paper cites Sheppard, and Mustafa Khamma sh.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Sheppard, and Mustafa Khamma sh

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.398876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b368776f-fdff-400f-b1e8-24def37ea229 · outbound

This paper cites Anderson, and James B.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Anderson, and James B

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.387519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:45:03.290321Z digest=sha256:561e3218fefd393730bf957c49e89872d715453cbfdca9a2cfebb05826b0d2d8

Observation 69b437b3-26a1-4e82-8927-ff40cd7f6d79 · outbound

This paper cites Robustne ss properties of circadian clock architectures.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Robustne ss properties of circadian clock architectures

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.375717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:45:03.293948Z digest=sha256:7ac4d4e20cb40b735cecb0e3d0ec561a23ebe3962796b64472bd5c4d8deacc2d

Observation 0bef7df6-6a06-406e-9d74-41746881bc24 · outbound

This paper cites Efficient finite difference method for computing sensitivities of biochemical reactions.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Efficient finite difference method for computing sensitivities of biochemical reactions

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.363912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:45:03.297776Z digest=sha256:39836b6dc620eb1fafcae7522e3c0cfecea57598e7e0cc1777a13b799b6b3747

Observation 4ea36eb7-ae5b-4386-bd2a-c4e20b66d3c0 · outbound

This paper cites Stochastic modelling for systems biology.

Variance of finite difference methods for reaction networks with non-Lipschitz rate functions Stochastic modelling for systems biology

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:45:03.351671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:45:03.301569Z digest=sha256:ccb3cc7811194e504fb1d60322838a173c3db4c235f06855c623ec2075a0bfcb

Pith citing papers

No inbound Pith citation observations are available.