Pith Number

pith:PX73FTA7

pith:2015:PX73FTA7NCJYW7QTN23FS3OCAU

not attested not anchored not stored refs pending

Flocking and non-flocking behavior in a stochastic Cucker-Smale system

Atsushi Yagi, Nguyen Thi Hoai Linh, Ta Viet Ton

arxiv:1508.05649 v2 · 2015-08-23 · 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{PX73FTA7NCJYW7QTN23FS3OCAU}

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	2026-05-18T01:34:41.486843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dffb2cc1f68938b7e136eb6596dc20532e7bcfdddaab14c4186cfc5425c6b6c

Aliases

arxiv: 1508.05649 · arxiv_version: 1508.05649v2 · doi: 10.48550/arxiv.1508.05649 · pith_short_12: PX73FTA7NCJY · pith_short_16: PX73FTA7NCJYW7QT · pith_short_8: PX73FTA7

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/PX73FTA7NCJYW7QTN23FS3OCAU \
  | 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: 7dffb2cc1f68938b7e136eb6596dc20532e7bcfdddaab14c4186cfc5425c6b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e2abe784bb0e638362880a0dc1f1bf711ee52f4935d7f8186d0f5ec36e6d76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-23T19:47:33Z",
    "title_canon_sha256": "65bef4cd4f2c2caf7ed1f60f0f6ee71215b49c7ec2c812eda7bd3f925c485c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05649",
    "kind": "arxiv",
    "version": 2
  }
}