Pith Number

pith:UUXBBKD3

pith:2008:UUXBBKD3S7TNSDJBXRZSSYJ3VB

not attested not anchored not stored refs pending

A Note on Banach Principle for JW-algebras

Alexander A. Katz, Genady Ya. Grabarnik

arxiv:0801.0777 v1 · 2008-01-05 · math.FA · 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{UUXBBKD3S7TNSDJBXRZSSYJ3VB}

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	2026-07-04T15:06:39.332832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52e10a87b97e6d90d21bc7329613ba856c51bbb4f1973312256c9762f28b526

Aliases

arxiv: 0801.0777 · arxiv_version: 0801.0777v1 · doi: 10.48550/arxiv.0801.0777 · pith_short_12: UUXBBKD3S7TN · pith_short_16: UUXBBKD3S7TNSDJB · pith_short_8: UUXBBKD3

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/UUXBBKD3S7TNSDJBXRZSSYJ3VB \
  | 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: a52e10a87b97e6d90d21bc7329613ba856c51bbb4f1973312256c9762f28b526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dde836a3e74cf0dfcee810f9924ccb0c7ef8429617aced5c38e10560f927ae9",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2008-01-05T03:35:34Z",
    "title_canon_sha256": "510a909343b1ebb8bbf0dadd315a6ecb6c98fc0db44b62b00f539c5dc6049dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0777",
    "kind": "arxiv",
    "version": 1
  }
}