Pith Number

pith:DXZGJSTQ

pith:2011:DXZGJSTQGYUX6NOB4G4EN3K2UF

not attested not anchored not stored refs pending

Statistical mechanics for natural flocks of birds

Aleksandra M Walczak, Andrea Cavagna, Edmondo Silvestri, Irene Giardina, Massimiliano Viale, Thierry Mora, William Bialek

arxiv:1107.0604 v1 · 2011-07-04 · physics.bio-ph · cond-mat.stat-mech · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXZGJSTQGYUX6NOB4G4EN3K2UF}

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	2026-05-18T02:01:25.245595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df264ca7036297f35c1e1b846ed5aa1475490b1427e60f8b6a7071e6aea9d07

Aliases

arxiv: 1107.0604 · arxiv_version: 1107.0604v1 · doi: 10.48550/arxiv.1107.0604 · pith_short_12: DXZGJSTQGYUX · pith_short_16: DXZGJSTQGYUX6NOB · pith_short_8: DXZGJSTQ

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/DXZGJSTQGYUX6NOB4G4EN3K2UF \
  | 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: 1df264ca7036297f35c1e1b846ed5aa1475490b1427e60f8b6a7071e6aea9d07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da249a636b6bd0b7a3374dde8c7469acb344490cae44fc5bac76ad97af281b1c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2011-07-04T12:29:55Z",
    "title_canon_sha256": "c3ec4e171f088d44e7877a541a9bc620d4e23bf80a813c50c8923c5d73b1d9bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0604",
    "kind": "arxiv",
    "version": 1
  }
}