Pith Number

pith:ZFMNT7UN

pith:2014:ZFMNT7UNBFYZHAQ4X3WTYYNRU2

not attested not anchored not stored refs pending

Quantitative propagation of chaos for generalized Kac particle systems

Joaquin Fontbona, Roberto Cortez

arxiv:1406.2115 v4 · 2014-06-09 · 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{ZFMNT7UNBFYZHAQ4X3WTYYNRU2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-05-18T01:15:39.062910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c958d9fe8d097193821cbeed3c61b1a68c3d5eaab669e3c42709bf8c95c85380

Aliases

arxiv: 1406.2115 · arxiv_version: 1406.2115v4 · doi: 10.48550/arxiv.1406.2115 · pith_short_12: ZFMNT7UNBFYZ · pith_short_16: ZFMNT7UNBFYZHAQ4 · pith_short_8: ZFMNT7UN

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/ZFMNT7UNBFYZHAQ4X3WTYYNRU2 \
  | 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: c958d9fe8d097193821cbeed3c61b1a68c3d5eaab669e3c42709bf8c95c85380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d36a8d17ef38cb52e8dd49b85ad8513eab3022fa1965ce09c5ef5a25b7201ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-09T09:28:12Z",
    "title_canon_sha256": "28b4ed395b340c1588a884f24bbdd9b6dcd87c7bba36fa6965ebdfd9efcce8fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2115",
    "kind": "arxiv",
    "version": 4
  }
}