Pith Number

pith:HBBSKLZ6

pith:2014:HBBSKLZ6MVTWAJVKPKU6R32HWI

not attested not anchored not stored refs pending

Geodesics in Brownian surfaces (Brownian maps)

J\'er\'emie Bettinelli

arxiv:1401.3602 v3 · 2014-01-15 · 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{HBBSKLZ6MVTWAJVKPKU6R32HWI}

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	2026-05-18T01:17:57.529787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3843252f3e65676026aa7aa9e8ef47b2362d06e2213ce81e8b7ef28969fd0ed9

Aliases

arxiv: 1401.3602 · arxiv_version: 1401.3602v3 · doi: 10.48550/arxiv.1401.3602 · pith_short_12: HBBSKLZ6MVTW · pith_short_16: HBBSKLZ6MVTWAJVK · pith_short_8: HBBSKLZ6

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/HBBSKLZ6MVTWAJVKPKU6R32HWI \
  | 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: 3843252f3e65676026aa7aa9e8ef47b2362d06e2213ce81e8b7ef28969fd0ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2383eb9d28e0a55547eb41f9398def98173e6bb838e70cae7fb663e1f244c87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-15T14:19:18Z",
    "title_canon_sha256": "99ba9aec28122a69209a72ef43ab8f722d7ab1b5aab4a505f3f9646b2263f56a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3602",
    "kind": "arxiv",
    "version": 3
  }
}