Pith Number

pith:344VA67W

pith:2011:344VA67WIAZEWEK54FUSYQCUMX

not attested not anchored not stored refs pending

Generalized Brownian motion from a logical point of view

Joerg Kampen

arxiv:1112.4660 v3 · 2011-12-20 · math.PR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{344VA67WIAZEWEK54FUSYQCUMX}

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	2026-05-18T04:05:05.008877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df39507bf640324b115de1692c405465fd84c016cd4efaf901c026da4257a684

Aliases

arxiv: 1112.4660 · arxiv_version: 1112.4660v3 · doi: 10.48550/arxiv.1112.4660 · pith_short_12: 344VA67WIAZE · pith_short_16: 344VA67WIAZEWEK5 · pith_short_8: 344VA67W

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/344VA67WIAZEWEK54FUSYQCUMX \
  | 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: df39507bf640324b115de1692c405465fd84c016cd4efaf901c026da4257a684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abe9cc080354e0d5f92aaff912679e494bea2973c326b5778d096cde0386a04e",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-20T11:42:24Z",
    "title_canon_sha256": "78dd4c696ff62ebec307f7e5ef90406969fa44335a8c9cf8c38e9f0bc5f50d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4660",
    "kind": "arxiv",
    "version": 3
  }
}