Pith Number

pith:4AN6VIGL

pith:2023:4AN6VIGLJGCCDIMW2TVFIAHSKF

not attested not anchored not stored refs pending

Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System. Part I Partial Differential Equation

Li Chen, Veniamin Gvozdik, Yue Li

arxiv:2301.07640 v2 · 2023-01-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AN6VIGLJGCCDIMW2TVFIAHSKF}

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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.

Receipt and verification

First computed	2026-07-05T05:34:18.488759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e01beaa0cb498421a196d4ea5400f2515427c316a9c4eb88badd048ddad4dbb3

Aliases

arxiv: 2301.07640 · arxiv_version: 2301.07640v2 · doi: 10.48550/arxiv.2301.07640 · pith_short_12: 4AN6VIGLJGCC · pith_short_16: 4AN6VIGLJGCCDIMW · pith_short_8: 4AN6VIGL

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/4AN6VIGLJGCCDIMW2TVFIAHSKF \
  | 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: e01beaa0cb498421a196d4ea5400f2515427c316a9c4eb88badd048ddad4dbb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a54df5a08e9e6e5b4754fac5dc17f2865323881c9513e3d2444d4cd15ff81f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-01-18T16:35:43Z",
    "title_canon_sha256": "70cbef53d1d1e0188f1494833674d8438b6ee3184e0d457714b6bd4323becf29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.07640",
    "kind": "arxiv",
    "version": 2
  }
}