Pith Number

pith:E4XKQS7E

pith:2011:E4XKQS7EJ3PN5WYWP4MG2PZDEC

not attested not anchored not stored refs pending

Construction of the Paths of Brownian Motions on Star Graphs

J\"urgen Potthoff, Robert Schrader, Vadim Kostrykin

arxiv:1102.4533 v1 · 2011-02-22 · 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{E4XKQS7EJ3PN5WYWP4MG2PZDEC}

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	2026-05-18T04:28:08.680515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272ea84be44edededb167f186d3f2320a5b0018ec2ff15a15c201211eed39eb8

Aliases

arxiv: 1102.4533 · arxiv_version: 1102.4533v1 · doi: 10.48550/arxiv.1102.4533 · pith_short_12: E4XKQS7EJ3PN · pith_short_16: E4XKQS7EJ3PN5WYW · pith_short_8: E4XKQS7E

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/E4XKQS7EJ3PN5WYWP4MG2PZDEC \
  | 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: 272ea84be44edededb167f186d3f2320a5b0018ec2ff15a15c201211eed39eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "625bb34f4810dba4e5931c5c44c337dcd30d90122243696310820f58314dd27f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-22T15:22:23Z",
    "title_canon_sha256": "ac1a63ba463a415b9eb1a2b0432c3a89f6da06bc80a0a21cb1eff9a6201de501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4533",
    "kind": "arxiv",
    "version": 1
  }
}