Pith Number

pith:L3TLHJK7

pith:2011:L3TLHJK7XTRTZA3A42H7HFFPSQ

not attested not anchored not stored refs pending

Non-Archimedean Unitary Operators

Anatoly N. Kochubei

arxiv:1102.4302 v1 · 2011-02-21 · math.FA · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3TLHJK7XTRTZA3A42H7HFFPSQ}

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	2026-05-18T04:28:10.477239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee6b3a55fbce33c8360e68ff394af942108a5705b07cc115ab30949ffb03302

Aliases

arxiv: 1102.4302 · arxiv_version: 1102.4302v1 · doi: 10.48550/arxiv.1102.4302 · pith_short_12: L3TLHJK7XTRT · pith_short_16: L3TLHJK7XTRTZA3A · pith_short_8: L3TLHJK7

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/L3TLHJK7XTRTZA3A42H7HFFPSQ \
  | 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: 5ee6b3a55fbce33c8360e68ff394af942108a5705b07cc115ab30949ffb03302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55681b84d537c64c587e9eed9c8dd832b74aadc4a85d38ec6b03f1d120d46636",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-21T18:38:35Z",
    "title_canon_sha256": "a5cbd915b724f8dbf952654721755eeacbcc29b44d4491b6f6107ae72da66db1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4302",
    "kind": "arxiv",
    "version": 1
  }
}