Pith Number

pith:CSYESWW3

pith:2011:CSYESWW3LS3FLUK7TCKFS53KW2

not attested not anchored not stored refs pending

Divisibility properties for C*-algebras

Leonel Robert, Mikael Rordam

arxiv:1106.5523 v2 · 2011-06-27 · 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{CSYESWW3LS3FLUK7TCKFS53KW2}

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	2026-05-18T02:58:00.794872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b0495adb5cb655d15f989459776ab6999afb5c3db53d8b33f54321d7c287f9

Aliases

arxiv: 1106.5523 · arxiv_version: 1106.5523v2 · doi: 10.48550/arxiv.1106.5523 · pith_short_12: CSYESWW3LS3F · pith_short_16: CSYESWW3LS3FLUK7 · pith_short_8: CSYESWW3

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/CSYESWW3LS3FLUK7TCKFS53KW2 \
  | 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: 14b0495adb5cb655d15f989459776ab6999afb5c3db53d8b33f54321d7c287f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d782697c354219cc1b3e02fcbbd77d27e611332135db09bfc2f612449b746c93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-06-27T20:52:52Z",
    "title_canon_sha256": "1449766cebbd7db3fab4559cc3e2c5988347bbd7507fc447b6f7944a22f2506c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5523",
    "kind": "arxiv",
    "version": 2
  }
}