Pith Number

pith:YELWVENH

pith:2011:YELWVENH355KDKIVG3WBMKAWC2

not attested not anchored not stored refs pending

Mean-field limit for the stochastic Vicsek model

Fran\c{c}ois Bolley, Jos\'e A. Ca\~nizo, Jos\'e A. Carrillo

arxiv:1102.1325 v1 · 2011-02-07 · 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{YELWVENH355KDKIVG3WBMKAWC2}

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	2026-05-18T04:07:05.335554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1176a91a7df7aa1a91536ec162816168cc07065ba9e42e5e778341d12d1e99a

Aliases

arxiv: 1102.1325 · arxiv_version: 1102.1325v1 · doi: 10.48550/arxiv.1102.1325 · pith_short_12: YELWVENH355K · pith_short_16: YELWVENH355KDKIV · pith_short_8: YELWVENH

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/YELWVENH355KDKIVG3WBMKAWC2 \
  | 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: c1176a91a7df7aa1a91536ec162816168cc07065ba9e42e5e778341d12d1e99a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaa8208beffa118c6aad1bef61df99adf05c5304d2c33c7b5715a1e8c7540dfe",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-07T14:41:55Z",
    "title_canon_sha256": "8bf974f43f603dd694565a81274c722ad760af0636f67c1737c0c7aef4e91992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1325",
    "kind": "arxiv",
    "version": 1
  }
}