Pith Number

pith:BFFRKOOH

pith:2013:BFFRKOOH62LR5VDXKUKR74H7YN

not attested not anchored not stored refs pending

Operator algebras with contractive approximate identities: A large operator algebra in c0

Charles John Read, David P. Blecher

arxiv:1309.2023 v2 · 2013-09-09 · 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{BFFRKOOH62LR5VDXKUKR74H7YN}

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	2026-05-18T02:39:24.051646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094b1539c7f6971ed47755151ff0ffc344c3927dc2beec6dafb04290de82cc6b

Aliases

arxiv: 1309.2023 · arxiv_version: 1309.2023v2 · doi: 10.48550/arxiv.1309.2023 · pith_short_12: BFFRKOOH62LR · pith_short_16: BFFRKOOH62LR5VDX · pith_short_8: BFFRKOOH

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/BFFRKOOH62LR5VDXKUKR74H7YN \
  | 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: 094b1539c7f6971ed47755151ff0ffc344c3927dc2beec6dafb04290de82cc6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fffef098119720317d65a07062b4b3b55bd7454096d94771c7b8881bffbd4d4d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-09-09T00:59:36Z",
    "title_canon_sha256": "24f8e4946d27bb44a10227a3247272d63c3768e1cd4678125ac1fbf13fbdae1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2023",
    "kind": "arxiv",
    "version": 2
  }
}