Pith Number

pith:ZVKGDTQY

pith:2003:ZVKGDTQYRIXJVPSDMLZIWPAHNF

not attested not anchored not stored refs pending

Fock factorizations, and decompositions of the $L^2$ spaces over general Levy processes

Anatoly Vershik, Natalia Tsilevich

arxiv:math/0304282 v1 · 2003-04-20 · math.PR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVKGDTQYRIXJVPSDMLZIWPAHNF}

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	2026-05-18T01:38:29.088757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd5461ce188a2e9abe4362f28b3c07697a700577d48439d744493bc8283b376d

Aliases

arxiv: math/0304282 · arxiv_version: math/0304282v1 · doi: 10.48550/arxiv.math/0304282 · pith_short_12: ZVKGDTQYRIXJ · pith_short_16: ZVKGDTQYRIXJVPSD · pith_short_8: ZVKGDTQY

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/ZVKGDTQYRIXJVPSDMLZIWPAHNF \
  | 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: cd5461ce188a2e9abe4362f28b3c07697a700577d48439d744493bc8283b376d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d06ff53c526620716c40adf29cc9b7dad61bdc4873c4069a41231a475aa7a3a0",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-04-20T10:56:55Z",
    "title_canon_sha256": "bead73990f694d9474903a774584c996b93c9b7116213afd3c05d151310f55a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304282",
    "kind": "arxiv",
    "version": 1
  }
}