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Paper Citation Record · LEDGER

A deterministic particle method for the porous media equation

As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2501.18745.

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

pith.paper-citation-record.v1
2501.18745 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T22:53:18.070016Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:38:28.857689Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T22:38:29.469755Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved8
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e462bba7-1ae3-410d-adc9-3f62255d97d7 · outbound

This paper cites Ambrosio, N.

A deterministic particle method for the porous media equation Ambrosio, N

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.284617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f6882b53-9467-4a6a-a4d6-1b60ab29f39e · outbound

This paper cites Aronson and J.

A deterministic particle method for the porous media equation Aronson and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.275616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 56862425-1532-48ad-9ba6-67303c13a369 · outbound

This paper cites an unresolved cited work.

A deterministic particle method for the porous media equation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:53:18.266671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation af6d6d25-ca35-41f5-bd11-56043699e902 · outbound

This paper cites Benamou and Y.

A deterministic particle method for the porous media equation Benamou and Y

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.256081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 20367a7f-1474-45b2-bf93-64e0012c0f93 · outbound

This paper cites B ´enilan, M.

A deterministic particle method for the porous media equation B ´enilan, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.246818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 9f934dc3-7ffe-4263-ade7-43031abc5cdd · outbound

This paper cites Burger and A.

A deterministic particle method for the porous media equation Burger and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.237315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7ffa5d7b-0d38-4156-8e21-3aad2dd6309d · outbound

This paper cites an unresolved cited work.

A deterministic particle method for the porous media equation Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:53:18.229145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T22:53:18.018986Z digest=sha256:c4d6a7e1b3d45d3320f6c07e8772c99ff8a3d5b2498a911d64b3ba250ff6155c

Observation 75769c6b-5b45-430d-a85d-c815901de7c0 · outbound

This paper cites an unresolved cited work.

A deterministic particle method for the porous media equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:53:18.219709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 9e06d86f-0e58-4904-96b8-bb439640c9c6 · outbound

This paper cites Nonlocal particle approximation for linear and fast diffusion equations.

A deterministic particle method for the porous media equation Nonlocal particle approximation for linear and fast diffusion equations

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-09T22:53:18.025595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T22:53:18.025595Z digest=sha256:b49affd19d1739419daeaf855c8f50baa76252d47b65ae91d2401b3a4be0b283

Observation d0fd412b-2692-4a50-baf8-e9da516a3548 · outbound

This paper cites an unresolved cited work.

A deterministic particle method for the porous media equation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:53:18.211395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T22:53:18.029820Z digest=sha256:346f8c10fee8be97dd09a6239af69c04204c68e940282826043283d58c1511be

Observation 1e5d9932-a019-435b-bfd0-614b67764768 · outbound

This paper cites an unresolved cited work.

A deterministic particle method for the porous media equation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:53:18.200403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 71dbeb60-bf85-4c81-abb3-92ff1332ea0f · outbound

This paper cites an unresolved cited work.

A deterministic particle method for the porous media equation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:53:18.190602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3604ebf8-1356-419e-875e-c9e38b6de7d9 · outbound

This paper cites Chertock, A practical guide to deterministic particle methods , in Handbook of numerical analysis, vol.

A deterministic particle method for the porous media equation Chertock, A practical guide to deterministic particle methods , in Handbook of numerical analysis, vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.181339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation e460d0fe-29ac-4bfe-b861-0ab94ec9dbd7 · outbound

This paper cites Degond and F.-J.

A deterministic particle method for the porous media equation Degond and F.-J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.172527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation e7d06f16-bcb4-430c-9d88-3b0cdd46a1b4 · outbound

This paper cites Di Francesco, A.

A deterministic particle method for the porous media equation Di Francesco, A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.163197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T22:53:18.049032Z digest=sha256:0fbdf6172b0540cd9d81f3d57d655ce52e3df185d6b94a2e58209b633820522c

Observation 725e8b1b-0e77-4aa7-832e-6e055c44e714 · outbound

This paper cites Lacombe, Analyse d’une ´ equation de vitesse de diffusion, Comptes Rendus de l’Acad´ emie des Sciences-Series I-Mathematics, 329 (1999), pp.

A deterministic particle method for the porous media equation Lacombe, Analyse d’une ´ equation de vitesse de diffusion, Comptes Rendus de l’Acad´ emie des Sciences-Series I-Mathematics, 329 (1999), pp

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.153149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d3cda7f5-056e-4054-ba14-90b26af6f74d · outbound

This paper cites Lacombe and S.

A deterministic particle method for the porous media equation Lacombe and S

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.143977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation c4718841-613c-4fe3-aabc-24018efac8ff · outbound

This paper cites Lions and S.

A deterministic particle method for the porous media equation Lions and S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.135482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T22:53:18.059884Z digest=sha256:e2cd964cc58b1bda7c4b8305dce583f2a48a21f688e8f4fd6a847a4df1a8ac04

Observation 064aab27-8bfd-4d62-a662-0e41a3ef49f6 · outbound

This paper cites Otto , The geometry of dissipative evolution equations: the porou s medium equation , Comm.

A deterministic particle method for the porous media equation Otto , The geometry of dissipative evolution equations: the porou s medium equation , Comm

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.125312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation bf9e059f-dac0-4b59-b4ce-b7a3c7a5d851 · outbound

This paper cites an unresolved cited work.

A deterministic particle method for the porous media equation Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:53:18.113998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T22:53:18.066813Z digest=sha256:2f6824261f885bfccbc74ee503caf5d05ec3ec3b9eb7514c542e0c0130b3b057

Observation 893a3004-a018-432e-b87a-5a4220670049 · outbound

This paper cites Villani , Optimal Transport: Old and New , vol.

A deterministic particle method for the porous media equation Villani , Optimal Transport: Old and New , vol

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:53:18.104445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-09T22:53:18.070016Z digest=sha256:738af57975109bf58a9efbeba3cf4901fb570f588a85857822954bc34741c926

Pith citing papers

Observation fec9bb0b-de9a-4b4a-8455-eb05a6460130 · inbound

Rate of Convergence for a Nonlocal-to-local Limit in One Dimension cites this paper.

Rate of Convergence for a Nonlocal-to-local Limit in One Dimension A deterministic particle method for the porous media equation

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:38:29.567586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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