Pith Number

pith:ZOLALWAZ

pith:2007:ZOLALWAZA4YL2ENFP57XCAYT42

not attested not anchored not stored refs pending

Restrictions of CP-Semigroups to Maximal Commutative Subalgebras

Franco Fagnola, Michael Skeide

arxiv:math/0703001 v1 · 2007-02-28 · 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{ZOLALWAZA4YL2ENFP57XCAYT42}

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	2026-05-18T03:06:43.211389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9605d8190730bd11a57f7f710313e6b5304dce63cf9202e94f866be540a430

Aliases

arxiv: math/0703001 · arxiv_version: math/0703001v1 · doi: 10.48550/arxiv.math/0703001 · pith_short_12: ZOLALWAZA4YL · pith_short_16: ZOLALWAZA4YL2ENF · pith_short_8: ZOLALWAZ

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/ZOLALWAZA4YL2ENFP57XCAYT42 \
  | 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: cb9605d8190730bd11a57f7f710313e6b5304dce63cf9202e94f866be540a430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a13a9a0e0c8f4a41f7e9534f28d7b6d31da84c73017c82549614232a7722d4d0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-02-28T21:30:54Z",
    "title_canon_sha256": "d28e3e7eee329e4884685362ff6e69ba9c7c38b16d63992a097b8e31ad22b011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703001",
    "kind": "arxiv",
    "version": 1
  }
}