Pith Number

pith:WZSZME72

pith:2011:WZSZME72LU5XJAYHYOUDRJ5MWN

not attested not anchored not stored refs pending

The Brownian traveller on manifolds

David Krejcirik, Martin Kolb

arxiv:1108.3191 v1 · 2011-08-16 · math.AP · math-ph · math.MP · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZSZME72LU5XJAYHYOUDRJ5MWN}

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	2026-05-18T02:46:31.692190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6659613fa5d3b748307c3a838a7acb37ac37a72099f70367a6817588ee342ff

Aliases

arxiv: 1108.3191 · arxiv_version: 1108.3191v1 · doi: 10.48550/arxiv.1108.3191 · pith_short_12: WZSZME72LU5X · pith_short_16: WZSZME72LU5XJAYH · pith_short_8: WZSZME72

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/WZSZME72LU5XJAYHYOUDRJ5MWN \
  | 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: b6659613fa5d3b748307c3a838a7acb37ac37a72099f70367a6817588ee342ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f3b6834457eedd400ba083f3d3cd753b54e19d88321b742aa6fe62016d53428",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-16T09:48:19Z",
    "title_canon_sha256": "e0ce578e64cdb3e4a1f15a2fbce7d54cf28c3b7aad699899f62391df5c161ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3191",
    "kind": "arxiv",
    "version": 1
  }
}