Pith Number

pith:HULNQH6J

pith:2011:HULNQH6JGK3APMOW7S6EZJXMBK

not attested not anchored not stored refs pending

Noise as a Boolean algebra of sigma-fields. I. Completion

Boris Tsirelson

arxiv:1107.3042 v2 · 2011-07-15 · 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{HULNQH6JGK3APMOW7S6EZJXMBK}

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	2026-05-18T04:16:41.832310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d16d81fc932b607b1d6fcbc4ca6ec0aa00871fd76fbbd5b15b9ac0cbc31fbf3

Aliases

arxiv: 1107.3042 · arxiv_version: 1107.3042v2 · doi: 10.48550/arxiv.1107.3042 · pith_short_12: HULNQH6JGK3A · pith_short_16: HULNQH6JGK3APMOW · pith_short_8: HULNQH6J

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/HULNQH6JGK3APMOW7S6EZJXMBK \
  | 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: 3d16d81fc932b607b1d6fcbc4ca6ec0aa00871fd76fbbd5b15b9ac0cbc31fbf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535b45edd4c3e306afe8bf34ef97b116f8925a671d7f3a3d12497f4b8ed7a06e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-15T11:01:26Z",
    "title_canon_sha256": "7a2e6e75b4dfc0e96732db6d375f8d9a667f43e289f1a9e7923bcefda8fa7292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3042",
    "kind": "arxiv",
    "version": 2
  }
}