Pith Number

pith:WHAUJ3MT

pith:2010:WHAUJ3MTXCSJLWJ5BUPGHMXPKM

not attested not anchored not stored refs pending

Brownian Motions on Metric Graphs II - Construction of Brownian Motions on Single Vertex Graphs

J\"urgen Potthoff, Robert Schrader, Vadim Kostrykin

arxiv:1012.0737 v2 · 2010-12-03 · 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{WHAUJ3MTXCSJLWJ5BUPGHMXPKM}

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	2026-05-18T04:34:08.532139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1c144ed93b8a495d93d0d1e63b2ef531758449f3abd9389a9fd49185e025540

Aliases

arxiv: 1012.0737 · arxiv_version: 1012.0737v2 · doi: 10.48550/arxiv.1012.0737 · pith_short_12: WHAUJ3MTXCSJ · pith_short_16: WHAUJ3MTXCSJLWJ5 · pith_short_8: WHAUJ3MT

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/WHAUJ3MTXCSJLWJ5BUPGHMXPKM \
  | 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: b1c144ed93b8a495d93d0d1e63b2ef531758449f3abd9389a9fd49185e025540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4177e4ba08c58e0565f7f42b042669bbbcc07fcb46b494895588ababd931688a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-03T13:33:47Z",
    "title_canon_sha256": "b6c99509e019a542a9fe599c2eac4cf05bfa2fcdf7b53476f0266c231f744b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0737",
    "kind": "arxiv",
    "version": 2
  }
}