pith. sign in
Pith Number

pith:LS6OMYCO

pith:2015:LS6OMYCOYX7EDHQXIYDBB4NKJL
not attested not anchored not stored refs pending

Collective Motion with Anticipation: Flocking, Spinning, and Swarming

Alexandre Morin, Christophe Eloy, Denis Bartolo, Jean-Baptiste Caussin

arxiv:1501.02468 v1 · 2015-01-11 · cond-mat.stat-mech · physics.bio-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LS6OMYCOYX7EDHQXIYDBB4NKJL}

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 2026-05-18T01:41:11.739484Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5cbce6604ec5fe419e17460610f1aa4aeac146d2fc91a24a4b17f297671d85db

Aliases

arxiv: 1501.02468 · arxiv_version: 1501.02468v1 · doi: 10.48550/arxiv.1501.02468 · pith_short_12: LS6OMYCOYX7E · pith_short_16: LS6OMYCOYX7EDHQX · pith_short_8: LS6OMYCO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LS6OMYCOYX7EDHQXIYDBB4NKJL \
  | 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: 5cbce6604ec5fe419e17460610f1aa4aeac146d2fc91a24a4b17f297671d85db
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4c9e5c8e134d3ccf5eddb5fb2ff5ed29550010bad887bb5914fad42fe7923dae",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-01-11T16:01:11Z",
    "title_canon_sha256": "d72f94e503ab9fc35bf41022dd6acb946da296b109b6d4da780c3034789c05c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02468",
    "kind": "arxiv",
    "version": 1
  }
}