pith. sign in
Pith Number

pith:L67HDTYD

pith:2013:L67HDTYDD5PF2LNJVHEQ5JW4HJ
not attested not anchored not stored refs pending

A hierarchy of heuristic-based models of crowd dynamics

C\'ecile Appert-Rolland (LPT), Guy Theraulaz (CRCA), Julien Pettr\'e (INRIA - IRISA), Mehdi Moussaid, Pierre Degond (IMT)

arxiv:1304.1927 v1 · 2013-04-06 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L67HDTYDD5PF2LNJVHEQ5JW4HJ}

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 2026-05-18T00:34:53.195873Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5fbe71cf031f5e5d2da9a9c90ea6dc3a5436b6c21511cae8c83d7636e51ed99e

Aliases

arxiv: 1304.1927 · arxiv_version: 1304.1927v1 · doi: 10.48550/arxiv.1304.1927 · pith_short_12: L67HDTYDD5PF · pith_short_16: L67HDTYDD5PF2LNJ · pith_short_8: L67HDTYD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L67HDTYDD5PF2LNJVHEQ5JW4HJ \
  | 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: 5fbe71cf031f5e5d2da9a9c90ea6dc3a5436b6c21511cae8c83d7636e51ed99e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "30aa6c6837bb21cecf5e119ff593405ce9ad378264ee74b512f337c44f35617c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-06T19:22:26Z",
    "title_canon_sha256": "acf187fd5f02a9b51eca523166e05451881679639a24c06c831019062c94164e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1927",
    "kind": "arxiv",
    "version": 1
  }
}