Pith Number

pith:SGZE3YYW

pith:2009:SGZE3YYWZTKHOBRZ4UYSA4IP72

not attested not anchored not stored refs pending

Ideals and structure of operator algebras

David P. Blecher, Melahat Almus, Sonia Sharma

arxiv:0907.3103 v5 · 2009-07-17 · 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{SGZE3YYWZTKHOBRZ4UYSA4IP72}

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	2026-05-18T04:34:01.480092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b24de316ccd4770639e53120710ffea0a2d4c15ddd18c3d9ab9f5849cb4adf

Aliases

arxiv: 0907.3103 · arxiv_version: 0907.3103v5 · doi: 10.48550/arxiv.0907.3103 · pith_short_12: SGZE3YYWZTKH · pith_short_16: SGZE3YYWZTKHOBRZ · pith_short_8: SGZE3YYW

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/SGZE3YYWZTKHOBRZ4UYSA4IP72 \
  | 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: 91b24de316ccd4770639e53120710ffea0a2d4c15ddd18c3d9ab9f5849cb4adf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb5c5b5043090ec4b4086660c4fcb3a8abdf8cff7489c9699ef64fc75291ac7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-07-17T15:53:34Z",
    "title_canon_sha256": "0443f06b12421e04d86815798f906ce970a5fa633d0b439ee3d1d8c1690cb0f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3103",
    "kind": "arxiv",
    "version": 5
  }
}