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 2026-08-15T06:32:42.880941+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
metadata mismatch0

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; raw_fallback, observed 2026-08-14T12:45:03.650628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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; raw_fallback, observed 2026-08-14T12:45:03.638693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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; raw_fallback, observed 2026-08-14T12:45:03.626608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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; raw_fallback, observed 2026-08-14T12:45:03.614275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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; raw_fallback, observed 2026-08-14T12:45:03.601579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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; raw_fallback, observed 2026-08-14T12:45:03.554003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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; local_arxiv, observed 2026-08-14T12:45:03.338364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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.

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 2026-08-15T06:32:42.880941+00:00.

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; raw_fallback, observed 2026-08-14T12:45:03.522980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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; raw_fallback, observed 2026-08-14T12:45:03.500317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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; raw_fallback, observed 2026-08-14T12:45:03.441843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

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 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.