Pith Number

pith:GZ456DBH

pith:2013:GZ456DBHLGF4NYSU5ZZMVTD4KV

not attested not anchored not stored refs pending

On positivity and roots in operator algebras

Clifford A. Bearden, David P. Blecher, Sonia Sharma

arxiv:1308.2730 v3 · 2013-08-13 · 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{GZ456DBHLGF4NYSU5ZZMVTD4KV}

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	2026-05-18T02:55:04.001708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3679df0c27598bc6e254ee72cacc7c55510b8d22d91aa18a5c4f38929410e2e0

Aliases

arxiv: 1308.2730 · arxiv_version: 1308.2730v3 · doi: 10.48550/arxiv.1308.2730 · pith_short_12: GZ456DBHLGF4 · pith_short_16: GZ456DBHLGF4NYSU · pith_short_8: GZ456DBH

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/GZ456DBHLGF4NYSU5ZZMVTD4KV \
  | 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: 3679df0c27598bc6e254ee72cacc7c55510b8d22d91aa18a5c4f38929410e2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf4f0b79c9108becdfd5d27f493b71a02314bd83424d252c8e5d164c3d74ee7",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-08-13T00:58:32Z",
    "title_canon_sha256": "bc1b782b5ee66b230ef692b2af4cea8681f951cbd4a23e82b8114660988c1b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2730",
    "kind": "arxiv",
    "version": 3
  }
}