Pith Number

pith:UT2V2Y4D

pith:2008:UT2V2Y4DKJ6Y3HHEXRNR2MOAYD

not attested not anchored not stored refs pending

Subsystems of Fock Need Not Be Fock: Spatial CP-Semigroups

B.V.Rajarama Bhat, Michael Skeide, Volkmar Liebscher

arxiv:0804.2169 v2 · 2008-04-14 · 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{UT2V2Y4DKJ6Y3HHEXRNR2MOAYD}

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	2026-05-18T03:06:52.306191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f55d6383527d8d9ce4bc5b1d31c0c0ddee2034db5fb929fb7575a37f81ca84

Aliases

arxiv: 0804.2169 · arxiv_version: 0804.2169v2 · doi: 10.48550/arxiv.0804.2169 · pith_short_12: UT2V2Y4DKJ6Y · pith_short_16: UT2V2Y4DKJ6Y3HHE · pith_short_8: UT2V2Y4D

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/UT2V2Y4DKJ6Y3HHEXRNR2MOAYD \
  | 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: a4f55d6383527d8d9ce4bc5b1d31c0c0ddee2034db5fb929fb7575a37f81ca84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad4ac24769e82b6b5c03bcdcdaf58035898f734bb3f2d03678f13427c1890ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-04-14T12:56:21Z",
    "title_canon_sha256": "8fb1ec547dd9d9b7c00eb22fc872f6addc8a3a2e1d8bf988c76e2d9c4e000461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2169",
    "kind": "arxiv",
    "version": 2
  }
}