Pith Number

pith:PQHDJWBB

pith:2011:PQHDJWBBPER3TLJTRLOJ4DMN4O

not attested not anchored not stored refs pending

An algebraically independent generating set of the algebra of local unitary invariants

Peter Vrana

arxiv:1102.2861 v1 · 2011-02-14 · 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{PQHDJWBBPER3TLJTRLOJ4DMN4O}

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	2026-05-18T04:28:46.267180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0e34d8217923b9ad338adc9e0d8de3938aab187d756ebd73978206377fd704

Aliases

arxiv: 1102.2861 · arxiv_version: 1102.2861v1 · doi: 10.48550/arxiv.1102.2861 · pith_short_12: PQHDJWBBPER3 · pith_short_16: PQHDJWBBPER3TLJT · pith_short_8: PQHDJWBB

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/PQHDJWBBPER3TLJTRLOJ4DMN4O \
  | 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: 7c0e34d8217923b9ad338adc9e0d8de3938aab187d756ebd73978206377fd704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f3894d340caf86a4af3d1b581d0464b226b701d0224a8ffc90a6ca46cc3d360",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-14T19:19:30Z",
    "title_canon_sha256": "bc8ddd6dac0d8668f1686c2dd4b1da95f65fd380d6df5d331a835a889f5705ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2861",
    "kind": "arxiv",
    "version": 1
  }
}