Pith. sign in

Paper Citation Record · LEDGER

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model

As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2605.20140.

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

pith.paper-citation-record.v1
2605.20140 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T18:00:12.666040Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

31 of 31 outbound references displayed

  • verified exact5
  • verified fuzzy20
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc5a3bde-c91e-4bcf-ae82-31155379f1ef · outbound

This paper cites Chertock and A.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Chertock and A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.320970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:8d92e552be05222ad6dccb1a46dff69d68065b6b02add4ab773162d8d1677c1d

Observation 57a297c5-bbf5-4f32-a7a3-1777473f5426 · outbound

This paper cites an unresolved cited work.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-08T06:34:42.352387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:7cc821333d2d77d1a7f2127926534180b91331352f7079435cfc023432a5b76f

Observation e6d2d80e-718e-444f-b507-1f62a7c8f722 · outbound

This paper cites Anderson and M.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Anderson and M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.354031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:e0f64b6a42b5d5b2e780b99263753c1c60ce231b336e102c23e62543880a33f7

Observation 1343faa7-c765-4c76-933f-865ea0a55a5b · outbound

This paper cites an unresolved cited work.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-08T06:34:42.357234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:6f5723200412748598f26d2f637c5be0e4e1e23fb9aa0610770d3a021f3351db

Observation 25318e6c-3dd6-430d-89ad-ba7b3d8bd7bc · outbound

This paper cites Anderson, A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion,Mathematical medicine and biology: a journal of the IMA.22(2005) 163–186.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Anderson, A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion,Mathematical medicine and biology: a journal of the IMA.22(2005) 163–186

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.350586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:094ed2f75d3f0e04dc7287c182e68bc8d1071822aa8538e18a8c017f804e5f41

Observation 89dd0309-f21e-440e-ac53-316032743af1 · outbound

This paper cites Ayati, G.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Ayati, G

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.347081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:898bec6460cd9c04878e22a98ef6bb651b7d434b8fbd12fadde004a650fa5e8f

Observation d5ffb15c-3c82-42bc-b67a-17da108e8c71 · outbound

This paper cites an unresolved cited work.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-08T06:34:42.348697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:49c0fab43c38cc492edd19570f9e1ac4fea9d6551153c0e322cdf88a624da0d6

Observation 8533bc9e-b6b3-4268-ae25-5881ed30facf · outbound

This paper cites an unresolved cited work.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Unresolved cited work

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-06-30T18:04:58.177659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:89c65d468f9a5e66b5c041045b3dd551cbcad9d4db4908104d9418190d07f0a7

Observation f10f6bd3-1215-4848-9e42-7c2da26d50e5 · outbound

This paper cites A Stochastic Interacting Particle-Field Algorithm for a Haptotaxis Advection-Diffusion System Modeling Cancer Cell Invasion.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model A Stochastic Interacting Particle-Field Algorithm for a Haptotaxis Advection-Diffusion System Modeling Cancer Cell Invasion

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-06-30T18:04:58.180007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:9fdbca693b66e582d796732b9882a53a5fe50ab43724891a3fdce12063912f51

Observation 15597be3-9d3c-42af-8a0a-ac6bcf037a8c · outbound

This paper cites Keller and L.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Keller and L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.342324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:6ff9b3159950525a18de27d6b99ffb35b3ea202e9492802034fca78bdcb27655

Observation 49eb3d8e-133a-4629-b47a-82079aed7c5c · outbound

This paper cites Chertock, Y.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Chertock, Y

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.338794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:eb180fb7818a0941e074281575b18f50dcbd20d192ae2485f64e3d77afc1b4f4

Observation a1c2c084-6a9a-40b5-8d7d-b233a5923835 · outbound

This paper cites Shen and J.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Shen and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.340673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:0b43c24a2e6952cd6914523bbffcc04b35974b636fa87437de150e20a0e1be93

Observation 460ac10a-ef7d-4273-9f1e-98be944ee3a4 · outbound

This paper cites Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-06-30T18:04:58.182827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:7366642791be5049df29e53f7a97a405a30457dd7ec9bab819a6e8de921ebb51

Observation e6c5fc3a-0ece-43b4-bbba-e56ee21a45af · outbound

This paper cites an unresolved cited work.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-08T06:34:42.343879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:ec232990ae93b1fc6427fa519d1dc5b204b99168a8b30a9acf760034c868af9c

Observation 1d5f1a5d-7526-410e-b788-656c5cbbf3e9 · outbound

This paper cites Hillen and K.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Hillen and K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.345478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:e645e49ef98976cee52f76d9504beb3a2845502ed8cb3653022ed4a51e479103

Observation 80f9981d-9cb6-49ba-9973-0395b9dae136 · outbound

This paper cites Gnanasekaran, A.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Gnanasekaran, A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.355636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:c1e9e43c9a62ecc0f7817ee59cd393c98252312e21e9f533ab05f9b880bff923

Observation c347f7d5-9859-4f04-9198-29b0572b6748 · outbound

This paper cites Vel´ azquez, Point dynamics in a singular limit of the Keller–Segel model 1: Motion of the concentration regions,SIAM Journal on Applied Mathematics.(2004) 1198–1223.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Vel´ azquez, Point dynamics in a singular limit of the Keller–Segel model 1: Motion of the concentration regions,SIAM Journal on Applied Mathematics.(2004) 1198–1223

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.332564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:7e557a4a77e6755ffa0f211139c8cfb165f1f747e425b8df0d39476ed46a42db

Observation 7c136edd-caa2-4c9a-8d5a-c7e9db97dba8 · outbound

This paper cites Haˇ skovec and C.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Haˇ skovec and C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.334218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:4976515a0572a65457747da9238b5bae96c7bc0dac3ddbb99e44b8e558a89ce9

Observation f899bb4c-6379-4114-a3bf-bb2405bb69f8 · outbound

This paper cites Liu and R.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Liu and R

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.335741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:301e5968af1a36ea2b853d8cb2b4af0ee676b90aafcc0d471193ba0eda5f735e

Observation 5e950e5f-b172-4b4c-ae5a-05ddc967039a · outbound

This paper cites Haˇ skovec and C.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Haˇ skovec and C

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.327680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:2ac2c315619b7d6ff7b62b1baf165e9b212dc97103692c5b5f0c59f28cca4398

Observation da28bdab-2d3b-492d-a4e6-a605b0006e51 · outbound

This paper cites Mischler and C.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Mischler and C

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.329228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:7234f33042a053d7f205a4567ed1a2b4b73d5d8b8857b979d48484ff44f4b1bd

Observation 7b0e86e3-0ef5-42ed-a3b9-62040e1f3a0e · outbound

This paper cites Liu and R.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Liu and R

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.330744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:df71624df775c9403a0cfdb413e7c22b471e8ae559b0aae80dba62c0661437ba

Observation 670eb4b8-8c85-4964-a5ab-c3200cf89b63 · outbound

This paper cites an unresolved cited work.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-07-08T06:34:42.315840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:f82b41386ca5982ab7a4a1ae318ab8a632b1113b437b706ed26061c6c39fdd23

Observation 539de42e-3ce6-4668-93be-75bf25c47b45 · outbound

This paper cites Jin and L.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Jin and L

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.324407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:c9e6477565365239d14b000cd522e0456fd9f6511fc642979f64efd1f8eb018b

Observation 1e92cb02-2217-488f-9470-1ebad3bd0306 · outbound

This paper cites Mean-field limit of a particle approximation for the parabolic-parabolic Keller-Segel model.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Mean-field limit of a particle approximation for the parabolic-parabolic Keller-Segel model

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-06-30T18:04:58.185699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:e89daf55fc254423e0084a2be70704c772eaf10e9cd4956663a016c1174d3dca

Observation e9b33e35-a3af-489c-ad7e-701475d38e83 · outbound

This paper cites Fournier and M.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Fournier and M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.317565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:0afd7f8dcdbdce21841287ef8f6963a1364fc1945956f9573ef2b6c27e47fbda

Observation f062b71b-6e9c-4668-a42f-6336d90b44d9 · outbound

This paper cites Stevens, The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems,SIAM Journal on Applied Mathematics.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Stevens, The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems,SIAM Journal on Applied Mathematics

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.319340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:589c2870a39d9b8d299210f9cdefd3846763ec8ed930ea5fdd0e1d7f0d9031c5

Observation 31ea9c79-839d-42c4-b6d0-097a43cb74fa · outbound

This paper cites an unresolved cited work.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Unresolved cited work

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-06-30T18:04:58.188553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:6b0ecfadc11d89363fbd5aaa3da3fdfea99cbb454962466baa435c9bf007c3f7

Observation 056f5383-1c94-4b1c-aea5-f1642f78d8e4 · outbound

This paper cites Walker and G.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Walker and G

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.322523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:e06a297c2035d639ec01e6dec2ed93c710041029dd297fb411653357de54cc0e

Observation 82eb228f-4ce5-4f06-855e-ab934750eae2 · outbound

This paper cites Grigorev, V.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Grigorev, V

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T06:34:42.326083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:d8f0919bb17b9ae980278e9f5289e9990718cc99340342dd715c19d36d3e6240

Observation 861cc1d7-2793-4a53-8cd5-12879a8a6df2 · outbound

This paper cites an unresolved cited work.

A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-07-08T06:34:42.337253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T18:00:12.666040Z digest=sha256:211ed3cb70c5eadb0c17fc8dfa6988c5653e34a7ecf0a750b261146ddb16e346

Pith citing papers

No inbound Pith citation observations are available.