Pith Number

pith:QCQ5OSDA

pith:2024:QCQ5OSDAC5D3N5OTABIOCLOM2J

not attested not anchored not stored refs pending

Interacting particle approximation of cross-diffusion systems

Jose Antonio Carrillo, Shuchen Guo

arxiv:2402.05094 v2 · 2024-02-07 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCQ5OSDAC5D3N5OTABIOCLOM2J}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Rigorous derivation of the mean-field limit for the signal-dependent Keller-Segel system

Receipt and verification

First computed	2026-07-05T09:21:40.184800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a1d748601747b6f5d30050e12dccd245822b81915b7eb85f4c6007be74e940

Aliases

arxiv: 2402.05094 · arxiv_version: 2402.05094v2 · doi: 10.48550/arxiv.2402.05094 · pith_short_12: QCQ5OSDAC5D3 · pith_short_16: QCQ5OSDAC5D3N5OT · pith_short_8: QCQ5OSDA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QCQ5OSDAC5D3N5OTABIOCLOM2J \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 80a1d748601747b6f5d30050e12dccd245822b81915b7eb85f4c6007be74e940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de91ff124f1c7ffcb5b24f9a7bfe101cdfcd1bde0e4d44bfaac80bac212ac194",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-07T18:46:47Z",
    "title_canon_sha256": "b8ee7f55faf09833ef1f1790c380927739d67c7e2d70533ae633fdf22884a311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.05094",
    "kind": "arxiv",
    "version": 2
  }
}