Pith Number

pith:XKZ3VOKX

pith:2013:XKZ3VOKXWVKYIWAHLT6LNAFI2P

not attested not anchored not stored refs pending

Phase Transitions in Models of Bird Flocking

Ch.G. Antonopoulos, H. Christodoulidi, K. van der Weele, T. Bountis

arxiv:1309.6377 v2 · 2013-09-25 · nlin.AO · cond-mat.stat-mech · physics.bio-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{XKZ3VOKXWVKYIWAHLT6LNAFI2P}

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	2026-05-18T01:47:27.060266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab3bab957b5558458075cfcb680a8d3d23d5816f27bd5790c2c224c5a2da83c

Aliases

arxiv: 1309.6377 · arxiv_version: 1309.6377v2 · doi: 10.48550/arxiv.1309.6377 · pith_short_12: XKZ3VOKXWVKY · pith_short_16: XKZ3VOKXWVKYIWAH · pith_short_8: XKZ3VOKX

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/XKZ3VOKXWVKYIWAHLT6LNAFI2P \
  | 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: bab3bab957b5558458075cfcb680a8d3d23d5816f27bd5790c2c224c5a2da83c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed2e8ff6186c818161023f10feda158bfb55e014f93759c88c7926d32b6b8f26",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2013-09-25T01:00:34Z",
    "title_canon_sha256": "b0d86ba70e9ecc2668047aafebcf19341dd795f30a4f612aaecb29401c24fee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6377",
    "kind": "arxiv",
    "version": 2
  }
}