Pith Number

pith:ZBED77BM

pith:2012:ZBED77BMUO54C2IRLTZPGCDHLY

not attested not anchored not stored refs pending

Quasifree martingales

J. Martin Lindsay, Oliver T. Margetts

arxiv:1203.6693 v1 · 2012-03-30 · math.OA · math-ph · math.FA · math.MP · 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{ZBED77BMUO54C2IRLTZPGCDHLY}

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	2026-05-18T00:25:44.772862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8483ffc2ca3bbc169115cf2f308675e3ec000c80ef7eae87ab5528782a41eb6

Aliases

arxiv: 1203.6693 · arxiv_version: 1203.6693v1 · doi: 10.48550/arxiv.1203.6693 · pith_short_12: ZBED77BMUO54 · pith_short_16: ZBED77BMUO54C2IR · pith_short_8: ZBED77BM

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/ZBED77BMUO54C2IRLTZPGCDHLY \
  | 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: c8483ffc2ca3bbc169115cf2f308675e3ec000c80ef7eae87ab5528782a41eb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e8a542664e3a62f1889767a7b1154d40e5b93565d6614faa7d7ac01541d676",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-03-30T01:08:52Z",
    "title_canon_sha256": "1c4a2b2dced9185f3a4546fb0c8fac4bef69e57dbba6394c9eeee64993ba0aea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6693",
    "kind": "arxiv",
    "version": 1
  }
}