Pith Number

pith:L7A3U462

pith:2011:L7A3U462EUSXRVN6JCQB2SF7HU

not attested not anchored not stored refs pending

The descriptive set theory of C$^*$-algebra invariants

Andrew S. Toms, Asger T\"ornquist, Ilijas Farah

arxiv:1112.3576 v2 · 2011-12-15 · 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{L7A3U462EUSXRVN6JCQB2SF7HU}

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	2026-05-18T02:25:11.388621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc1ba73da252578d5be48a01d48bf3d2765e6d3625c4c563683fdb3ad1f367c

Aliases

arxiv: 1112.3576 · arxiv_version: 1112.3576v2 · doi: 10.48550/arxiv.1112.3576 · pith_short_12: L7A3U462EUSX · pith_short_16: L7A3U462EUSXRVN6 · pith_short_8: L7A3U462

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/L7A3U462EUSXRVN6JCQB2SF7HU \
  | 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: 5fc1ba73da252578d5be48a01d48bf3d2765e6d3625c4c563683fdb3ad1f367c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d09402e9ac3592a1cb6cd92e0b50be6c1d3db33a40ab187591d2f6681b0c5ec",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-15T17:23:52Z",
    "title_canon_sha256": "5be02730971ebefbda48adc158c6706e463d99798bc6821d19f6e5ff1d5abd00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3576",
    "kind": "arxiv",
    "version": 2
  }
}