Pith Number

pith:2WCYHEYE

pith:2015:2WCYHEYEDXCRGDVYFOQMFOBTP6

not attested not anchored not stored refs pending

Coupling spin to velocity: collective motion of Hamiltonian polar particles

Eric Bertin, Khanh-Dang Nguyen Thu Lam, Michael Schindler, Olivier Dauchot, Sigbj{\o}rn L{\o}land Bore

arxiv:1512.04884 v2 · 2015-12-15 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WCYHEYEDXCRGDVYFOQMFOBTP6}

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	2026-05-18T00:34:00.178054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5858393041dc5130eb82ba0c2b8337f8ede622688203603914d536c9e33f76d

Aliases

arxiv: 1512.04884 · arxiv_version: 1512.04884v2 · doi: 10.48550/arxiv.1512.04884 · pith_short_12: 2WCYHEYEDXCR · pith_short_16: 2WCYHEYEDXCRGDVY · pith_short_8: 2WCYHEYE

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/2WCYHEYEDXCRGDVYFOQMFOBTP6 \
  | 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: d5858393041dc5130eb82ba0c2b8337f8ede622688203603914d536c9e33f76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5c5901e631e900aae387701705b5cd4ed7cd1c9cd873be0523084f984357f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-12-15T18:15:28Z",
    "title_canon_sha256": "e1b31b5c703d230baeb83eb7151040691465009b5f4be1b4a2e3c3561f3c52f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04884",
    "kind": "arxiv",
    "version": 2
  }
}