Pith Number

pith:LF7WCTWI

pith:2008:LF7WCTWIXYA2U4TMCOYXX54LHT

not attested not anchored not stored refs pending

The Powers Sum of spatial CPD-semigroups and CP-semigroups

Michael Skeide

arxiv:0812.0077 v1 · 2008-11-29 · 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{LF7WCTWIXYA2U4TMCOYXX54LHT}

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	2026-05-18T03:06:52.288367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

597f614ec8be01aa726c13b17bf78b3cdb1d8ae30dc74ff50a8a960e2fd9bbee

Aliases

arxiv: 0812.0077 · arxiv_version: 0812.0077v1 · doi: 10.48550/arxiv.0812.0077 · pith_short_12: LF7WCTWIXYA2 · pith_short_16: LF7WCTWIXYA2U4TM · pith_short_8: LF7WCTWI

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/LF7WCTWIXYA2U4TMCOYXX54LHT \
  | 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: 597f614ec8be01aa726c13b17bf78b3cdb1d8ae30dc74ff50a8a960e2fd9bbee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d3db9d51b5ac98e39abb023d26c7d499bb051fb0404208ed7a593fef496d47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-11-29T14:47:04Z",
    "title_canon_sha256": "d0ad2d05f41e86456b9331dd3ecfe945ff6f2ce03c8f855d3121c9349e508798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0077",
    "kind": "arxiv",
    "version": 1
  }
}