Pith Number

pith:LLD3TA6I

pith:2012:LLD3TA6IWDAMHUGB3KAAT6CIYX

not attested not anchored not stored refs pending

Brownian motion on treebolic space: escape to infinity

Alexander Bendikov, Laurent Saloff-Coste, Maura Salvatori, Wolfgang Woess

arxiv:1212.6151 v4 · 2012-12-26 · math.PR · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLD3TA6IWDAMHUGB3KAAT6CIYX}

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	2026-05-18T00:57:32.213136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac7b983c8b0c0c3d0c1da8009f848c5fdb61ed270d83c1441ce5c29fb4c292d

Aliases

arxiv: 1212.6151 · arxiv_version: 1212.6151v4 · doi: 10.48550/arxiv.1212.6151 · pith_short_12: LLD3TA6IWDAM · pith_short_16: LLD3TA6IWDAMHUGB · pith_short_8: LLD3TA6I

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/LLD3TA6IWDAMHUGB3KAAT6CIYX \
  | 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: 5ac7b983c8b0c0c3d0c1da8009f848c5fdb61ed270d83c1441ce5c29fb4c292d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c99b771285d10d81b9dd61beb5f871f598f2b42404ba263407d838f0c856f9",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-26T10:12:25Z",
    "title_canon_sha256": "d7e93ec068ddd28054e5f5add39a8762198fad055d9e711efcaa829e56af12d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6151",
    "kind": "arxiv",
    "version": 4
  }
}