Pith Number

pith:S5PVFB3O

pith:2013:S5PVFB3OFCT6KPAUTGHOICNLBD

not attested not anchored not stored refs pending

Macroscopic models of collective motion and self-organization

Amic Frouvelle (CEREMADE), Jian-Guo Liu, Laurent Navoret (IRMA), Pierre Degond (IMT), S\'ebastien Motsch

arxiv:1304.6040 v1 · 2013-04-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5PVFB3OFCT6KPAUTGHOICNLBD}

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	2026-05-18T02:41:59.751085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

975f52876e28a7e53c14998ee409ab08c257ef8be4cc5fa1482d14c81bd574db

Aliases

arxiv: 1304.6040 · arxiv_version: 1304.6040v1 · doi: 10.48550/arxiv.1304.6040 · pith_short_12: S5PVFB3OFCT6 · pith_short_16: S5PVFB3OFCT6KPAU · pith_short_8: S5PVFB3O

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/S5PVFB3OFCT6KPAUTGHOICNLBD \
  | 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: 975f52876e28a7e53c14998ee409ab08c257ef8be4cc5fa1482d14c81bd574db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae2f83d44c4865c8edf8ca02644cf9135bab00ee1d9619e178013b99727b79f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-22T18:12:59Z",
    "title_canon_sha256": "7503210175e166d02e416157a91709e3a0b177249d4c325fc36a0581a649a23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6040",
    "kind": "arxiv",
    "version": 1
  }
}