Pith Number

pith:IOWEBMPX

pith:2012:IOWEBMPXXUSLQAN4F2VK6ZPF2W

not attested not anchored not stored refs pending

Circle maps and C*-algebras

Klaus Thomsen, Thomas L. Schmidt

arxiv:1212.3933 v2 · 2012-12-17 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOWEBMPXXUSLQAN4F2VK6ZPF2W}

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	2026-05-17T23:53:18.162758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ac40b1f7bd24b801bc2eaaaf65e5d5ba81b5586a7c57e56fbc6ba847b87bb3

Aliases

arxiv: 1212.3933 · arxiv_version: 1212.3933v2 · doi: 10.48550/arxiv.1212.3933 · pith_short_12: IOWEBMPXXUSL · pith_short_16: IOWEBMPXXUSLQAN4 · pith_short_8: IOWEBMPX

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/IOWEBMPXXUSLQAN4F2VK6ZPF2W \
  | 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: 43ac40b1f7bd24b801bc2eaaaf65e5d5ba81b5586a7c57e56fbc6ba847b87bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8212f4142a94dc0c208942b1ed4f23b97b5f34263fcd7c4a05e0b19a35aa221",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-12-17T08:33:46Z",
    "title_canon_sha256": "8e94453e8e952df56ad4bf3a61829a1506f02973c9029f311e6bd3c58a856c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3933",
    "kind": "arxiv",
    "version": 2
  }
}