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Paper Citation Record · LEDGER

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions

As of 20 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 3 inbound Pith citation observations for arXiv:2504.18484.

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

pith.paper-citation-record.v1
2504.18484 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:31:36.143987Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T10:14:58.462784Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:10:07.484487Z

Reference resolution

9 of 9 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved3
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71964dcb-f77d-4eda-b698-4d66f3f603b6 · outbound

This paper cites Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts.

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts

Reference 1

Resolution
verified exact
doi, observed 2026-08-16T10:31:36.242405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:31:36.103863Z digest=sha256:b2263b008f46337880b884965791e706c0dc8d97995346d5286518cd1391d683

Observation 8e691fd4-6315-407c-ae39-2ab4e5ac5681 · outbound

This paper cites On interacting popu- lations that disperse to avoid crowding: preservation of segregation.

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions On interacting popu- lations that disperse to avoid crowding: preservation of segregation

Reference 89

Resolution
verified exact
doi, observed 2026-08-16T10:31:36.228542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:31:36.108950Z digest=sha256:9cf76af5ef8389b4a2787126bf229638ca1f32e65b13c7a783d767e186691b84

Observation cd3662c6-ed3f-47b0-a6e6-f89dad738e66 · outbound

This paper cites Springer-Verlag, New York, 1989.doi: 10.1007/978-1-4612-101 5-3.

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions Springer-Verlag, New York, 1989.doi: 10.1007/978-1-4612-101 5-3

Reference 120

Resolution
verified exact
doi, observed 2026-08-16T10:31:36.176428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:31:36.143987Z digest=sha256:9aae66d4409f4feddfbce84413e3dc229b11d7ab671340c231e5d9a0055b923b

Observation a022981c-c4b9-4fd9-9c68-1195c2957a30 · outbound

This paper cites Polar factorization and monotone rearrangement of vector-valued functions.

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions Polar factorization and monotone rearrangement of vector-valued functions

Reference 207

Resolution
verified exact
doi, observed 2026-08-16T10:31:36.214267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:31:36.113441Z digest=sha256:4deb7296c64f95e74431887e5e8b232e84c72d9241c57c6a55cb0e820cee4c63

Observation 156e5e00-beed-4afd-8940-e0c23b088ae6 · outbound

This paper cites Hele-Shaw limit for a system of two reaction-(cross-)diffusion equations for living tissues.

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions Hele-Shaw limit for a system of two reaction-(cross-)diffusion equations for living tissues

Reference 402

Resolution
unresolved
no resolver link, observed 2026-08-16T10:31:36.118731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:31:36.118731Z digest=sha256:a033be5c078cef5ba5f4ac570e9dbee6a12d693121e95aaf125113b880d36f64

Observation f396800e-a6c1-4941-aefa-06b89c41b9d6 · outbound

This paper cites Existence and incompressible limit of a tissue growth model with autophagy.

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions Existence and incompressible limit of a tissue growth model with autophagy

Reference 1968

Resolution
verified exact
doi, observed 2026-08-16T10:31:36.191090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:31:36.139683Z digest=sha256:e9bb85b9a28a22059ce5cf23c41043ade38f8f69df2edae3bfe9b2a37da32c4b

Observation 3afcb043-ddb8-4167-b49e-c7b9cb6c6e5b · outbound

This paper cites A note on interacting populations that disperse to avoid crowding.

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions A note on interacting populations that disperse to avoid crowding

Reference 2015

Resolution
malformed identifier
doi_truncated, observed 2026-08-16T10:31:36.395799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T10:31:36.124387Z digest=sha256:a3cc7dc818aad6e7066921e345873420d117f41cb377584bb79d1b5ec521fc09

Observation 542e8cce-47d7-4f47-818d-aa0e9ac4913b · outbound

This paper cites Lagrangian solutions to the Porous Media Equation and Reaction Diffusion Systems.

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions Lagrangian solutions to the Porous Media Equation and Reaction Diffusion Systems

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-16T10:31:36.135252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:31:36.135252Z digest=sha256:5c2daa65740a895b96ba24f344674d3208550368dfa37c9d3b092bb796e1d4d1

Observation e12966de-e824-4a48-97ba-680cfda233a0 · outbound

This paper cites Cross-Diffusion Theory for Overcrowding Dispersal in Interacting Species System.

On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions Cross-Diffusion Theory for Overcrowding Dispersal in Interacting Species System

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-16T10:31:36.130048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:31:36.130048Z digest=sha256:384050e1378b3a615f7b3673dc3f9392b6e1d9f3e035cfe42429537eb7c9db7d

Pith citing papers

Observation 76b1fe59-fdc3-473b-a74c-2ac216644153 · inbound

Global solutions to cross-diffusion systems with independent advections in one dimension cites this paper.

Global solutions to cross-diffusion systems with independent advections in one dimension On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-05-15T08:05:15.611820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-15T08:01:56.503798Z digest=sha256:9cd9eac6796aec291d79d1df46f57fbe7943e9796e73bae13e7af24478c660cb

Observation 518b1880-f1f1-4996-ab74-ee0a20156462 · inbound

Interfaces and non-uniqueness in a cross-diffusion system with independent drifts cites this paper.

Interfaces and non-uniqueness in a cross-diffusion system with independent drifts On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:10:07.487994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-25T20:39:20.493025Z digest=sha256:7f060443413352d98d0c8325953b438c6447ee962cbb74004f3f37a3d3fc8f6a

Observation d1233e80-2b04-44ed-8e51-7150a9b18396 · inbound

Interfaces and non-uniqueness in a cross-diffusion system with independent drifts cites this paper.

Interfaces and non-uniqueness in a cross-diffusion system with independent drifts On a Cross-Diffusion System with Independent Drifts and no Self-Diffusion: The Existence of Totally Mixed Solutions

Reference 1968

Resolution
unresolved
no resolver link, observed 2026-08-02T10:14:58.462784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T10:14:58.462784Z digest=sha256:1c4950fa232614fb9ee018290292a8f9d839a5eaaa990ad3180ac020f276ae5e