Pith Number

pith:FC2ZGY7Z

pith:2024:FC2ZGY7ZTVS4OXQC2LYWCGGQI6

not attested not anchored not stored refs pending

Branching capacity and Brownian snake capacity

Jean-Fran\c{c}ois Delmas, Tianyi Bai, Yueyun Hu

arxiv:2402.13735 v2 · 2024-02-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FC2ZGY7ZTVS4OXQC2LYWCGGQI6}

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	2026-07-05T07:48:04.895459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b59363f99d65c75e02d2f16118d047907badb29b97a41b85e2ddbee4637d45

Aliases

arxiv: 2402.13735 · arxiv_version: 2402.13735v2 · doi: 10.48550/arxiv.2402.13735 · pith_short_12: FC2ZGY7ZTVS4 · pith_short_16: FC2ZGY7ZTVS4OXQC · pith_short_8: FC2ZGY7Z

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/FC2ZGY7ZTVS4OXQC2LYWCGGQI6 \
  | 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: 28b59363f99d65c75e02d2f16118d047907badb29b97a41b85e2ddbee4637d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e96bed6a94c668f4d6e0ef39457af1b7eb6635f3e6601fc89d88f53437d8ec10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-02-21T11:57:50Z",
    "title_canon_sha256": "e5ab87dc68a76fea4b5ec752684c112a927e0edda294a284e9ec451688438b96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.13735",
    "kind": "arxiv",
    "version": 2
  }
}