Pith Number

pith:K5I4ZA7J

pith:2017:K5I4ZA7JA47QHTG3TDW52YNIPY

not attested not anchored not stored refs pending

Flocking estimates for the Cucker-Smale model with time lag and hierarchical leadership

Cristina Pignotti, Irene Reche Vallejo

arxiv:1707.09244 v2 · 2017-07-28 · 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{K5I4ZA7JA47QHTG3TDW52YNIPY}

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	2026-05-18T00:11:28.987460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5751cc83e9073f03ccdb98eddd61a87e385ebe625d92e94a0dd5bc41526d7bda

Aliases

arxiv: 1707.09244 · arxiv_version: 1707.09244v2 · doi: 10.48550/arxiv.1707.09244 · pith_short_12: K5I4ZA7JA47Q · pith_short_16: K5I4ZA7JA47QHTG3 · pith_short_8: K5I4ZA7J

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/K5I4ZA7JA47QHTG3TDW52YNIPY \
  | 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: 5751cc83e9073f03ccdb98eddd61a87e385ebe625d92e94a0dd5bc41526d7bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34d04189c3829450d056cef79ecfd2ad62551cbe442c6d739bc6d94887c1b7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-07-28T14:12:28Z",
    "title_canon_sha256": "acf3edd06c7cdbaa896fcb0c66a65ec559fd4f193a1cdac42607ad72a4f25cf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09244",
    "kind": "arxiv",
    "version": 2
  }
}