Pith Number

pith:7F7ADIBJ

pith:1999:7F7ADIBJSEAL3ZQJ4AAGVXGK6M

not attested not anchored not stored refs pending

Some multiplicative preservers on $BH)$

Lajos Molnar

arxiv:math/9909048 v1 · 1999-09-09 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7F7ADIBJSEAL3ZQJ4AAGVXGK6M}

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	2026-05-18T01:05:32.611506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97e01a0299100bde609e0006adccaf329dd3ece58bd9c1df6666833262a3051

Aliases

arxiv: math/9909048 · arxiv_version: math/9909048v1 · doi: 10.48550/arxiv.math/9909048 · pith_short_12: 7F7ADIBJSEAL · pith_short_16: 7F7ADIBJSEAL3ZQJ · pith_short_8: 7F7ADIBJ

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/7F7ADIBJSEAL3ZQJ4AAGVXGK6M \
  | 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: f97e01a0299100bde609e0006adccaf329dd3ece58bd9c1df6666833262a3051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dcb65a6ac485380babe2a50aaae4a0dedd46082452e14e69ebff98d9b40256e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1999-09-09T07:39:24Z",
    "title_canon_sha256": "fd6c13bf3567afb143635b2566f89be1cc683b68c3d5326f6974d4f6bdc71e50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909048",
    "kind": "arxiv",
    "version": 1
  }
}