Pith Number

pith:YB3UAT4Z

pith:2009:YB3UAT4ZAIKJVXXC6FEZ4ITY3A

not attested not anchored not stored refs pending

Non-Archimedean Normal Operators

Anatoly N. Kochubei

arxiv:0908.4381 v5 · 2009-08-30 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YB3UAT4ZAIKJVXXC6FEZ4ITY3A}

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	2026-05-18T03:46:15.473014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c077404f9902149adee2f1499e2278d836b6b422b0bff54c0ceb7a390401f150

Aliases

arxiv: 0908.4381 · arxiv_version: 0908.4381v5 · doi: 10.48550/arxiv.0908.4381 · pith_short_12: YB3UAT4ZAIKJ · pith_short_16: YB3UAT4ZAIKJVXXC · pith_short_8: YB3UAT4Z

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/YB3UAT4ZAIKJVXXC6FEZ4ITY3A \
  | 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: c077404f9902149adee2f1499e2278d836b6b422b0bff54c0ceb7a390401f150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94e4e6a64da97b97e53252ced16c804c8f6c0df7ed55457e49c3b7a831c46c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-08-30T09:32:46Z",
    "title_canon_sha256": "553b709adff05e2723dcf31bc0aea8a62cdbaf70b23f97aa7308396ac92a67cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4381",
    "kind": "arxiv",
    "version": 5
  }
}