Paper Citation Record · LEDGER

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system

As of 11 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.00713.

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

pith.paper-citation-record.v1
2607.00713 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-02T07:53:39.881482Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

30 of 30 outbound references displayed

verified exact0
verified fuzzy16
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 408a9410-5470-4e05-9042-ef02323d2c03 · outbound

This paper cites Keller, L.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Keller, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.033433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation be66fc7d-414b-4acf-86fd-4ca6e2624941 · outbound

This paper cites Keller, L.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Keller, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.024681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 25884119-ef5b-444c-b321-67774df297c2 · outbound

This paper cites Chertock, Y.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Chertock, Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.046225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 56e73aae-c228-42a4-9fd8-2bf158f2686b · outbound

This paper cites Slotboom, Computer-aided two-dimensional analysis of bipolar transistors, Electron Devices 20 (1973) 669–679.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Slotboom, Computer-aided two-dimensional analysis of bipolar transistors, Electron Devices 20 (1973) 669–679

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.036001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a52580a8-743b-4209-857b-c0d9feeb11c5 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.040180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 94686883-b97c-4fd1-8174-1d863709b73c · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.042114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ccbdcc70-6f26-4a46-bafa-3e2bfd4ea79d · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.044096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d0958f37-353a-492f-b105-ac8d04050503 · outbound

This paper cites Cheng, J.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Cheng, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:58.974872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e5734911-0858-49d4-869a-038d77e5a0f1 · outbound

This paper cites Huang, J.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Huang, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.032452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7b44a8b4-8247-44a8-9eb5-7fa8f3e57c46 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.034653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 11d01d86-c7fa-48b3-8202-64515eb8dfb8 · outbound

This paper cites Arbogast, M.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Arbogast, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.004397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 51cec0e6-c9a6-4ed9-a8b7-cbc836107de8 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.019895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e05b355f-dd6e-461c-998b-2558a2d70e35 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:58.989691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 208f1ba9-8c54-499a-a1ec-dba4ca2ee6e2 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:58.994767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fd6439ce-09f2-419e-8105-f9b6675f9a72 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.005433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d28637d5-8dda-4c15-bc28-37df891bba39 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.048387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 94edf240-022b-4b02-8bd5-4c111af5af23 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.030546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d9abc778-ad2f-49b1-91d2-8401719611c7 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.013110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d0dd1d1a-dca8-41be-a36f-1f646a1d8864 · outbound

This paper cites Zhang, J.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Zhang, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.022158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 243cbf58-cc6d-46f1-8144-1a9a6f743f56 · outbound

This paper cites Weiser, M.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Weiser, M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.000068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7a4a946a-fdbd-4d05-b477-3bb769a9fbbd · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.018684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9a5a7f2a-1249-4023-a511-2d04e1d4d819 · outbound

This paper cites Berikelashvili, M.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Berikelashvili, M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.007258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 92a96b79-a05c-44a2-98fd-3bfcc31a4df0 · outbound

This paper cites Dawson, M.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Dawson, M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:58.992183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e945115a-0b04-4562-a24e-f10b2dff7b26 · outbound

This paper cites Plemmons, M-matrix characterizations.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Plemmons, M-matrix characterizations

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.022655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2b475391-99b0-4a10-b3cf-646d52af2d32 · outbound

This paper cites Huang, J.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Huang, J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.003064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 887d721b-be9e-4e11-b04d-dd671e4f231e · outbound

This paper cites Espejo, K.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Espejo, K

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.014226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a66e8f1a-2929-422a-8820-4b8e79a87263 · outbound

This paper cites Lin, The fully parabolic multi-species chemotaxis s ystem in R2, Eur.J.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Lin, The fully parabolic multi-species chemotaxis s ystem in R2, Eur.J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.046357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 90503d1c-9bee-49a3-b3a4-7ae219623a97 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.008909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b22bd1ae-af29-43fe-bcd2-88e30918a850 · outbound

This paper cites an unresolved cited work.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-07-06T05:11:59.028453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2ffc58ff-5ff8-4556-8137-b62f0e11f95a · outbound

This paper cites Acosta-Soba, F.

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system Acosta-Soba, F

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T05:11:59.030373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.