Pith Number

pith:JNZ5DZJ3

pith:2015:JNZ5DZJ3O6HNUDFQ4KFNU4XB42

not attested not anchored not stored refs pending

Local equilibrium in bird flocks

Aleksandra M. Walczak, Andrea Cavagna, Francesco Ginelli, Irene Giardina, Leonardo Parisi, Lorenzo Del Castello, Massimiliano Viale, Stefania Melillo, Thierry Mora

arxiv:1511.01958 v2 · 2015-11-06 · q-bio.PE · cond-mat.stat-mech · physics.bio-ph · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNZ5DZJ3O6HNUDFQ4KFNU4XB42}

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	2026-05-18T00:54:09.047401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b73d1e53b778eda0cb0e28ada72e1e6861cb104722152a023d29a626ef911ff

Aliases

arxiv: 1511.01958 · arxiv_version: 1511.01958v2 · doi: 10.48550/arxiv.1511.01958 · pith_short_12: JNZ5DZJ3O6HN · pith_short_16: JNZ5DZJ3O6HNUDFQ · pith_short_8: JNZ5DZJ3

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/JNZ5DZJ3O6HNUDFQ4KFNU4XB42 \
  | 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: 4b73d1e53b778eda0cb0e28ada72e1e6861cb104722152a023d29a626ef911ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa06c50a4b743e8c10f9ace457dc19bb8b4bb5abd79444c26a545191ee16cd5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2015-11-06T00:00:52Z",
    "title_canon_sha256": "51da3e7c9c9aa5aa49c0957a06d67fd970e23d737ab924d81def65abcaf6ff18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01958",
    "kind": "arxiv",
    "version": 2
  }
}