Pith Number

pith:5JPUOF2E

pith:2023:5JPUOF2ETT7KAD2GB3DS2MHL7E

not attested not anchored not stored refs pending

Convergence towards the population cross-diffusion system from stochastic many-particle system

Li Chen, Yue Li, Zhipeng Zhang

arxiv:2301.03306 v2 · 2023-01-09 · math.PR · 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{5JPUOF2ETT7KAD2GB3DS2MHL7E}

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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

Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity

Receipt and verification

First computed	2026-07-05T06:42:58.352603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea5f4717449cfea00f460ec72d30ebf938b56127b823e9ce3ec576a752e295ee

Aliases

arxiv: 2301.03306 · arxiv_version: 2301.03306v2 · doi: 10.48550/arxiv.2301.03306 · pith_short_12: 5JPUOF2ETT7K · pith_short_16: 5JPUOF2ETT7KAD2G · pith_short_8: 5JPUOF2E

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/5JPUOF2ETT7KAD2GB3DS2MHL7E \
  | 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: ea5f4717449cfea00f460ec72d30ebf938b56127b823e9ce3ec576a752e295ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2c35614ce3aec636977ab0d3c6f36f97ff2f442706f70df447d509a52b5a38",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-01-09T12:50:26Z",
    "title_canon_sha256": "aea7a072efae1517ec93af99ec42e3a383ef64561dcd6db887a37eb8b8665499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.03306",
    "kind": "arxiv",
    "version": 2
  }
}