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Paper Citation Record · LEDGER

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms

As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2501.13224.

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

pith.paper-citation-record.v1
2501.13224 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:34:12.624407Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:34:52.790245Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved16
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 504725c7-ce0f-4019-90e2-4b51201da715 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:13.156670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 98ccad3c-4284-4211-ab68-184cc1fcb4df · outbound

This paper cites Baghaei and A.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Baghaei and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:13.142221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 56cc6422-3fde-4ad7-943e-b2de468f2872 · outbound

This paper cites Baghaei and A.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Baghaei and A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:13.127911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2efa93e8-fa47-451f-b06d-60f13678bf6e · outbound

This paper cites Bellomo, A.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Bellomo, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:13.113900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6f960cdb-e522-434a-98e4-983c74f19c71 · outbound

This paper cites Cie ´slak and C.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Cie ´slak and C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:13.100856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0243d648-1842-4e69-b263-f7ecd7d7167d · outbound

This paper cites Cie ´slak and C.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Cie ´slak and C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:13.086050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 02cce212-f0f9-46b4-ba6c-21676477b591 · outbound

This paper cites Boundedness criteria for a chemotaxis consumption model with gradient nonlinearities.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Boundedness criteria for a chemotaxis consumption model with gradient nonlinearities

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-10T16:34:12.685540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 71fb6b08-ea73-46b0-8a6e-833905fbf5bf · outbound

This paper cites Hillen and K.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Hillen and K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:13.072500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:34:12.500711Z digest=sha256:33e2ff0be524d4c1d50080a0fb02f9d2ecd39a6794119af396ef46a2bfb58602

Observation 3f947fad-3f04-4e38-937c-a3bf6a9eb6b8 · outbound

This paper cites Horstmann and M.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Horstmann and M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:13.057458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 14cc01b7-0c8d-4c5d-a682-d3816cfc78eb · outbound

This paper cites Ishida, J.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Ishida, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:13.041741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 359bc341-ee8c-4826-b49e-d2639159f456 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:13.027211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation bfdc4592-c411-4e44-9837-78ed9ab50589 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:13.012943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:34:12.517948Z digest=sha256:2a3c208bf6d2943e36a6cb6c4f8bdc941abcf934ef12691ddf03a2f9fa5f72f1

Observation 4c4835f6-7fee-4974-87b9-7c980ac4c166 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.998645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:34:12.523673Z digest=sha256:e441eed3c7b7571c47af1ca81e9f549f1c8e728beaef4e71d4baad52ef05a089

Observation b110c450-ee70-4928-9ab9-ed70ccafdbce · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.984827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e3302d66-dc8c-4ee8-9600-0756e0a38c1e · outbound

This paper cites Lankeit and Y.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Lankeit and Y

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.970450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:34:12.532978Z digest=sha256:f0c645e2f731fe752cfe62fcb295b418be8c4853d3f3fc5382dddf52cb779d90

Observation 1a2036da-6aef-47d1-b189-a9af8b992352 · outbound

This paper cites Dissipative gradient nonlinearities prevent $\delta$-formations in local and nonlocal attraction-repulsion chemotaxis models.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Dissipative gradient nonlinearities prevent $\delta$-formations in local and nonlocal attraction-repulsion chemotaxis models

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T16:34:12.537305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:34:12.537305Z digest=sha256:07ddf1ec1a9a3e4b2465c7e92380c5e84b9643ed3ce27558e09e7b253218eda5

Observation 82268c13-eb72-47c1-ba90-23b7bd03adfd · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.957372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation eef1b8b1-930f-473a-8f93-36db456fb6f3 · outbound

This paper cites Marras and G.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Marras and G

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.944586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9cd93900-ff2c-4171-9aae-82cc006300f5 · outbound

This paper cites Nirenberg.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Nirenberg

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.931440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 253d3795-ae56-4571-bc4d-f40155f08692 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.918271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3afc9909-0efd-46fa-a967-e6d95e184807 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.904538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation d21b534d-20f5-435c-9199-e16aa6a50d93 · outbound

This paper cites Tao and M.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Tao and M

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.890761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation d8ee78c1-d4bb-4a26-91fa-37d834f90a7c · outbound

This paper cites Tao and M.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Tao and M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.876948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 282bdc98-170d-46bd-948d-79cd53ac9603 · outbound

This paper cites T uval, L.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms T uval, L

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.862912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:34:12.577076Z digest=sha256:d08b8d0acc63f768842b1709bb63a6534250e4194dd35b0e166d13eff48d983e

Observation d5b137ad-3848-470c-8b22-4c46f8ced6bd · outbound

This paper cites Viglialoro.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Viglialoro

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.848286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:34:12.581344Z digest=sha256:7aac035b08dd9805b005859d1b8d5b6c307bd858f3a5a2a1bd96c8b9d928e1bb

Observation 65d0b05b-37b0-4a47-814f-ab7c495e938e · outbound

This paper cites Viglialoro.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Viglialoro

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.833562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2e5c1bcf-b609-45ea-9d96-3c115501c85c · outbound

This paper cites Viglialoro.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Viglialoro

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.818954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:34:12.590591Z digest=sha256:1b42d4950b46db69fd618cd4a7021a238e26f4fd60ff71ef020f3aa94dd426c2

Observation 02236b83-a954-4d5e-be32-6e6786aa13f2 · outbound

This paper cites Viglialoro and T.E.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Viglialoro and T.E

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:34:12.804631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 83ec249e-fc2a-43fb-9642-cb822a980487 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.789962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation cf129df3-730d-4240-a641-9f664a3e6f9a · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.776314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 21af10ec-1ee2-4d53-b0b0-0e443ceb0366 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.762240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e85a8bcc-fe41-4a4b-8350-90d7ed10c0ae · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.746133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b82ee782-71c6-467f-adba-a45fe9301e3a · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.731426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6a5a91ae-e578-47bb-83f2-c90e406aa053 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.716419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 045e38be-a015-417e-ac18-491757e6d960 · outbound

This paper cites an unresolved cited work.

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:34:12.701591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:34:12.624407Z digest=sha256:7a0066ead38b382b9d6b5c1b484987f384c910d19d0f2b1837f6f421866ea650

Pith citing papers

Observation db8bec44-bdb5-4153-b0bb-447f8a17dc2b · inbound

Active Matter as a framework for living systems-inspired Robophysics cites this paper.

Active Matter as a framework for living systems-inspired Robophysics Boundedness in a nonlinear chemotaxis-consumption model with gradient terms

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:52.790245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:52.790245Z digest=sha256:4caf0ec7057f73a76a75f798f3a0ee72866a1ef3d69df9f3c86a67c7dd5740d8