Pith Number

pith:7KYAAYZV

pith:2015:7KYAAYZVI2OQ6GB4EQLGOTCDS2

not attested not anchored not stored refs pending

Generalization of C*-algebra methods via real positivity for operator and Banach algebras

David P. Blecher

arxiv:1508.03059 v1 · 2015-08-12 · math.OA · math-ph · math.FA · 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{7KYAAYZVI2OQ6GB4EQLGOTCDS2}

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	2026-05-18T01:35:21.872290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fab0006335469d0f183c2416674c4396bf6106cb10539796e4c9230d14e2c0dd

Aliases

arxiv: 1508.03059 · arxiv_version: 1508.03059v1 · doi: 10.48550/arxiv.1508.03059 · pith_short_12: 7KYAAYZVI2OQ · pith_short_16: 7KYAAYZVI2OQ6GB4 · pith_short_8: 7KYAAYZV

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/7KYAAYZVI2OQ6GB4EQLGOTCDS2 \
  | 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: fab0006335469d0f183c2416674c4396bf6106cb10539796e4c9230d14e2c0dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4afc3a64dedd224257e007c2433803f2d5eab0cd6bb7a40a74a15dc7ebf2b863",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-08-12T20:16:50Z",
    "title_canon_sha256": "5c155bc94fa26f15b8da7ce682cb292b9cb6b55fb32437c55dc02df395e1a7be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03059",
    "kind": "arxiv",
    "version": 1
  }
}