Pith Number

pith:O4A6NNIG

pith:2011:O4A6NNIGBVEJHZKVZNM7IX6YUB

not attested not anchored not stored refs pending

Countable saturation of corona algebras

Bradd Hart, Ilijas Farah

arxiv:1112.3898 v2 · 2011-12-16 · math.OA · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4A6NNIGBVEJHZKVZNM7IX6YUB}

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	2026-05-18T03:43:05.266018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7701e6b5060d4893e555cb59f45fd8a077ccade7725e7604d6b3a9590fd031b2

Aliases

arxiv: 1112.3898 · arxiv_version: 1112.3898v2 · doi: 10.48550/arxiv.1112.3898 · pith_short_12: O4A6NNIGBVEJ · pith_short_16: O4A6NNIGBVEJHZKV · pith_short_8: O4A6NNIG

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/O4A6NNIGBVEJHZKVZNM7IX6YUB \
  | 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: 7701e6b5060d4893e555cb59f45fd8a077ccade7725e7604d6b3a9590fd031b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2d06dd264e9757e1b9c64c9508564717c9ce2d48df7978ee73c4fc4dbd0b94",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-16T17:35:11Z",
    "title_canon_sha256": "2206a051a425a42b398ac4d1a688be9e72ad2921dd9c20531413b85922605220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3898",
    "kind": "arxiv",
    "version": 2
  }
}