Pith Number

pith:S64SRL7L

pith:2012:S64SRL7L3ZWRGV3SXYIBV6B45A

not attested not anchored not stored refs pending

Operator systems from discrete groups

Ali S. Kavruk, Douglas Farenick, Ivan G. Todorov, Vern I. Paulsen

arxiv:1209.1152 v1 · 2012-09-06 · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S64SRL7L3ZWRGV3SXYIBV6B45A}

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	2026-05-18T03:46:06.392238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b928afebde6d135772be101af83ce833d1f44397682171be1e786ded1cd752

Aliases

arxiv: 1209.1152 · arxiv_version: 1209.1152v1 · doi: 10.48550/arxiv.1209.1152 · pith_short_12: S64SRL7L3ZWR · pith_short_16: S64SRL7L3ZWRGV3S · pith_short_8: S64SRL7L

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/S64SRL7L3ZWRGV3SXYIBV6B45A \
  | 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: 97b928afebde6d135772be101af83ce833d1f44397682171be1e786ded1cd752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "527beb47257174245622abcc5d089714d9d9ad449c0fd7d57999725dc1d046b8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-06T01:25:46Z",
    "title_canon_sha256": "3486a30c2b1ebbce750b00bc5ead77a39e80d9ab45b13d84c2bef71b6dfdb902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1152",
    "kind": "arxiv",
    "version": 1
  }
}