Pith Number

pith:KQJVD5WN

pith:2001:KQJVD5WNEFV67CATRGV4LCHUZA

not attested not anchored not stored refs pending

Filtrations of random processes in the light of classification theory. I. A topological zero-one law

Boris Tsirelson

arxiv:math/0107121 v1 · 2001-07-17 · 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{KQJVD5WNEFV67CATRGV4LCHUZA}

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	2026-05-18T01:05:37.632150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

541351f6cd216bef881389abc588f4c81511d013f279e4f856729edfcab49705

Aliases

arxiv: math/0107121 · arxiv_version: math/0107121v1 · doi: 10.48550/arxiv.math/0107121 · pith_short_12: KQJVD5WNEFV6 · pith_short_16: KQJVD5WNEFV67CAT · pith_short_8: KQJVD5WN

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/KQJVD5WNEFV67CATRGV4LCHUZA \
  | 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: 541351f6cd216bef881389abc588f4c81511d013f279e4f856729edfcab49705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d318e25f8c208481186fc85395f481e3385e7e07553990438738567f460b61ef",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-07-17T09:35:46Z",
    "title_canon_sha256": "d6db8ac0628c571817a6cfc0773ef178387b2c8d59cfbeeeca25d48ed020f885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107121",
    "kind": "arxiv",
    "version": 1
  }
}