Pith Number

pith:VIMA53OF

pith:2024:VIMA53OFHTXEGYYETLN25FOKIJ

not attested not anchored not stored refs pending

Mean-Field Games Modeling of Anticipation in Dense Crowds

C\'ecile Appert-Rolland, Denis Ullmo, Matteo Butano

arxiv:2403.01168 v2 · 2024-03-02 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIMA53OFHTXEGYYETLN25FOKIJ}

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	2026-07-05T08:24:03.292862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa180eedc53cee4363049adbae95ca42744443d730549c4761b64f77b5eca2d4

Aliases

arxiv: 2403.01168 · arxiv_version: 2403.01168v2 · doi: 10.48550/arxiv.2403.01168 · pith_short_12: VIMA53OFHTXE · pith_short_16: VIMA53OFHTXEGYYE · pith_short_8: VIMA53OF

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/VIMA53OFHTXEGYYETLN25FOKIJ \
  | 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: aa180eedc53cee4363049adbae95ca42744443d730549c4761b64f77b5eca2d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84cd98267e702e0ee138ac7b91919d7cbafdc745f010329d3b7ccc78aaa182ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2024-03-02T10:40:50Z",
    "title_canon_sha256": "3902944e363b1b77a2fab8ed62b676f46789021ba7332650648f1d9b17b6adf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.01168",
    "kind": "arxiv",
    "version": 2
  }
}