Pith Number

pith:3KVVBZG7

pith:2014:3KVVBZG7NXOT3L45FAGQMJBOVB

not attested not anchored not stored refs pending

Control to flocking of the kinetic Cucker-Smale model

Benedetto Piccoli, Emmanuel Tr\'elat, Francesco Rossi

arxiv:1411.4687 v1 · 2014-11-17 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KVVBZG7NXOT3L45FAGQMJBOVB}

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	2026-05-18T02:34:51.378620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daab50e4df6ddd3daf9d280d06242ea842132ff3c87ff8342192d9198e92d435

Aliases

arxiv: 1411.4687 · arxiv_version: 1411.4687v1 · doi: 10.48550/arxiv.1411.4687 · pith_short_12: 3KVVBZG7NXOT · pith_short_16: 3KVVBZG7NXOT3L45 · pith_short_8: 3KVVBZG7

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/3KVVBZG7NXOT3L45FAGQMJBOVB \
  | 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: daab50e4df6ddd3daf9d280d06242ea842132ff3c87ff8342192d9198e92d435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8cf6fa9578e2aacfc1983f41f22dc20f4d75effb78fd4337b45ab28dcec5b09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-11-17T22:16:04Z",
    "title_canon_sha256": "5dafa874455f00657c31669e9d22f3c7dcba04409e1ef45386c3b592468e8f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4687",
    "kind": "arxiv",
    "version": 1
  }
}