Pith Number

pith:34WU5WGZ

pith:2025:34WU5WGZ4JNIL3OPOKFDUQV6QH

not attested not anchored not stored refs pending

Multi-agent systems with multiple-wise interaction: Propagation of chaos and macroscopic limit

CaGE), Emmanuel Tr\'elat (LJLL (UMR\_7598), Stefano Rossi, Thierry Paul (LYSM)

arxiv:2502.09098 v2 · 2025-02-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34WU5WGZ4JNIL3OPOKFDUQV6QH}

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	2026-07-05T10:36:36.096098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df2d4ed8d9e25a85edcf728a3a42be81d72db8d8e04eac4b4d0b5172f9910f3f

Aliases

arxiv: 2502.09098 · arxiv_version: 2502.09098v2 · doi: 10.48550/arxiv.2502.09098 · pith_short_12: 34WU5WGZ4JNI · pith_short_16: 34WU5WGZ4JNIL3OP · pith_short_8: 34WU5WGZ

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/34WU5WGZ4JNIL3OPOKFDUQV6QH \
  | 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: df2d4ed8d9e25a85edcf728a3a42be81d72db8d8e04eac4b4d0b5172f9910f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f89622d23b4a3a8be959960d5b6e620d8820dec889a73046c4e555af3c662d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-13T09:14:29Z",
    "title_canon_sha256": "1782c1c0f274ad7ab2aa330783bfbc0ccf235da9340a0f0917a9bd3590db5118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.09098",
    "kind": "arxiv",
    "version": 2
  }
}