Pith Number

pith:CNCFXZVM

pith:2012:CNCFXZVMRD7HQDMWXUTNZYKVAL

not attested not anchored not stored refs pending

The instability of followers and emergent vorticity in flocking behaviour for an experimental interaction rule

Michael Small, Xiaoke Xu

arxiv:1207.5290 v1 · 2012-07-23 · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNCFXZVMRD7HQDMWXUTNZYKVAL}

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	2026-05-18T03:50:23.955386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13445be6ac88fe780d96bd26dce15502de79f84d4bfe27455b827553f71367dc

Aliases

arxiv: 1207.5290 · arxiv_version: 1207.5290v1 · doi: 10.48550/arxiv.1207.5290 · pith_short_12: CNCFXZVMRD7H · pith_short_16: CNCFXZVMRD7HQDMW · pith_short_8: CNCFXZVM

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/CNCFXZVMRD7HQDMWXUTNZYKVAL \
  | 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: 13445be6ac88fe780d96bd26dce15502de79f84d4bfe27455b827553f71367dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "355a45819d7a0a33ded19a47df9adf4dfdfd844a65cd3152e17635816abf43bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2012-07-23T04:39:59Z",
    "title_canon_sha256": "d2fa3bce701461415a1926c1bb36ed1ec6e06a65ff7c08eb3552131c2b67f8b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5290",
    "kind": "arxiv",
    "version": 1
  }
}