Pith Number

pith:OCRHX6E4

pith:2012:OCRHX6E46OTSFWBD3QK4P3OEXY

not attested not anchored not stored refs pending

The linear span of projections in AH algebras and for inclusions of C*-algebras

Dinh Trung Hoa, Hiroyuki Osaka, Toan Minh Ho

arxiv:1210.5426 v1 · 2012-10-19 · 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{OCRHX6E46OTSFWBD3QK4P3OEXY}

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	2026-05-18T03:42:45.315632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a27bf89cf3a722d823dc15c7edc4be1efd5fa825c61b95b5aa0ccab01ec2fe

Aliases

arxiv: 1210.5426 · arxiv_version: 1210.5426v1 · doi: 10.48550/arxiv.1210.5426 · pith_short_12: OCRHX6E46OTS · pith_short_16: OCRHX6E46OTSFWBD · pith_short_8: OCRHX6E4

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/OCRHX6E46OTSFWBD3QK4P3OEXY \
  | 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: 70a27bf89cf3a722d823dc15c7edc4be1efd5fa825c61b95b5aa0ccab01ec2fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cfbcaca7b4006a7c8d8c01b20fcfbe54e5e40731e4fc325415cf3dbd9de2c59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-19T14:06:03Z",
    "title_canon_sha256": "5008bbcdff094773f3fdfe4140b01d45deb7f1ff8a9d9c908004fd1e1fa6d8fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5426",
    "kind": "arxiv",
    "version": 1
  }
}