Pith Number

pith:B2P2I7UG

pith:2026:B2P2I7UGXNUIT3O4FMARSHIRPO

not attested not anchored not stored refs pending

Mean-Field limit of the non-exchangeable Cucker-Dong model

Adrien Cotil (LJLL (UMR\_7598)), Fanny Delebecque (IMT), Nathalie Ayi (LJLL (UMR\_7598))

arxiv:2606.07224 v1 · 2026-06-05 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2P2I7UGXNUIT3O4FMARSHIRPO}

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	2026-06-08T01:04:54.207927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e9fa47e86bb6889eddc2b01191d117b9da5588fcd727921549e8fef80d19b10

Aliases

arxiv: 2606.07224 · arxiv_version: 2606.07224v1 · doi: 10.48550/arxiv.2606.07224 · pith_short_12: B2P2I7UGXNUI · pith_short_16: B2P2I7UGXNUIT3O4 · pith_short_8: B2P2I7UG

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/B2P2I7UGXNUIT3O4FMARSHIRPO \
  | 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: 0e9fa47e86bb6889eddc2b01191d117b9da5588fcd727921549e8fef80d19b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cabeecd85d962ca4b382e4af04090f939b1da6683d45d69f8655011744f30513",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-05T12:40:51Z",
    "title_canon_sha256": "8a1ed2af40d80973b4c3f525e3a982d2596aa9c764868b95eb9748700ceb007d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07224",
    "kind": "arxiv",
    "version": 1
  }
}