Pith Number

pith:TCCQW2F6

pith:2011:TCCQW2F623FTJQGMKCDFOVLWRH

not attested not anchored not stored refs pending

Noise as a Boolean algebra of $\sigma$-fields

Boris Tsirelson

arxiv:1111.7270 v3 · 2011-11-30 · 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{TCCQW2F623FTJQGMKCDFOVLWRH}

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	2026-05-18T03:02:18.060142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98850b68bed6cb34c0cc508657557689d5c73b9a8a4eb260c56c6e9007ced9c0

Aliases

arxiv: 1111.7270 · arxiv_version: 1111.7270v3 · doi: 10.48550/arxiv.1111.7270 · pith_short_12: TCCQW2F623FT · pith_short_16: TCCQW2F623FTJQGM · pith_short_8: TCCQW2F6

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/TCCQW2F623FTJQGMKCDFOVLWRH \
  | 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: 98850b68bed6cb34c0cc508657557689d5c73b9a8a4eb260c56c6e9007ced9c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77bfb60ac8baa73b1d64016fddc32cbab29e5ee2b7ff1a93fec23f8eab2df76a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-30T18:55:23Z",
    "title_canon_sha256": "97e8c8a81af9da2f9fabb4f02305240e48ab001a40e05d7bd71fb02bd09b4521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7270",
    "kind": "arxiv",
    "version": 3
  }
}