Pith Number

pith:MZQHVM26

pith:2007:MZQHVM26KFC7BIJUE42EDO3YQO

not attested not anchored not stored refs pending

Noncommutative Brownian motions with Kesten distributions and related Poisson processes

Rafal Salapata, Romuald Lenczewski

arxiv:0709.4334 v1 · 2007-09-27 · math.QA · 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{MZQHVM26KFC7BIJUE42EDO3YQO}

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	2026-05-18T02:46:39.776158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66607ab35e5145f0a134273441bb78839f3ff46643a16463317670b4c3fb344f

Aliases

arxiv: 0709.4334 · arxiv_version: 0709.4334v1 · doi: 10.48550/arxiv.0709.4334 · pith_short_12: MZQHVM26KFC7 · pith_short_16: MZQHVM26KFC7BIJU · pith_short_8: MZQHVM26

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/MZQHVM26KFC7BIJUE42EDO3YQO \
  | 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: 66607ab35e5145f0a134273441bb78839f3ff46643a16463317670b4c3fb344f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ee424e37bf12b2ebc5283270ea40f3aad70abeb92331aaaf74dab1b98a4ba7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-09-27T10:47:22Z",
    "title_canon_sha256": "581d4793ba6b5fcfbf90fec52e25a77db0f3c0b647099a6c7223bbf654576941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4334",
    "kind": "arxiv",
    "version": 1
  }
}