Pith Number

pith:5WAAAKCZ

pith:2016:5WAAAKCZBHNKFTZFMSYAZNZYGB

not attested not anchored not stored refs pending

Collective motion of groups of self-propelled particles following interacting leaders

Bence Ferdinandy, Katalin Ozog\'any, Tam\'as Vicsek

arxiv:1609.03212 v2 · 2016-09-11 · physics.bio-ph · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WAAAKCZBHNKFTZFMSYAZNZYGB}

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	2026-05-18T00:47:33.621945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8000285909daa2cf2564b00cb738305347ee64d143ffa7ce518739a1f68366

Aliases

arxiv: 1609.03212 · arxiv_version: 1609.03212v2 · doi: 10.48550/arxiv.1609.03212 · pith_short_12: 5WAAAKCZBHNK · pith_short_16: 5WAAAKCZBHNKFTZF · pith_short_8: 5WAAAKCZ

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/5WAAAKCZBHNKFTZFMSYAZNZYGB \
  | 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: ed8000285909daa2cf2564b00cb738305347ee64d143ffa7ce518739a1f68366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2157e354883dc5999546b62aab8f6d6cabb29e53733d619386f3cfbcb1e82a27",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2016-09-11T20:30:15Z",
    "title_canon_sha256": "171ff76fee670798870bf1b1739bddfe5da41840b88b141322d12496cbfffe1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03212",
    "kind": "arxiv",
    "version": 2
  }
}