Pith Number

pith:CAYQ2VF5

pith:2024:CAYQ2VF5MN3W7LYXXF3G24DVOS

not attested not anchored not stored refs pending

The Hausdorff measure of the boundary of the Brownian disk

Alexis Metz--Donnadieu

arxiv:2411.16541 v2 · 2024-11-25 · 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{CAYQ2VF5MN3W7LYXXF3G24DVOS}

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	2026-07-05T09:40:21.910552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10310d54bd63776faf17b9766d707574b26d0de0e257d089e7cf375a9aacf82d

Aliases

arxiv: 2411.16541 · arxiv_version: 2411.16541v2 · doi: 10.48550/arxiv.2411.16541 · pith_short_12: CAYQ2VF5MN3W · pith_short_16: CAYQ2VF5MN3W7LYX · pith_short_8: CAYQ2VF5

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/CAYQ2VF5MN3W7LYXXF3G24DVOS \
  | 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: 10310d54bd63776faf17b9766d707574b26d0de0e257d089e7cf375a9aacf82d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822b0aee8c4bfb55299a9e0f6eda5b6fa8db893d4ed40c10b466c6b5bd40dec6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-25T16:25:06Z",
    "title_canon_sha256": "e3f1da793bdeb8d5136ee991084e25ce5fae6cca0bb413f3ae9a918e1b5b4ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16541",
    "kind": "arxiv",
    "version": 2
  }
}