Pith Number

pith:4M6N5ZCZ

pith:2011:4M6N5ZCZZ4IKEFLMN4G5I5LBVC

not attested not anchored not stored refs pending

All degree six local unitary invariants of k qudits

Szil\'ard Szalay

arxiv:1105.3086 v3 · 2011-05-16 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M6N5ZCZZ4IKEFLMN4G5I5LBVC}

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	2026-05-18T02:22:00.101872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33cdee459cf10a2156c6f0dd47561a8995f63cc46b0e0874755e10845747b0f

Aliases

arxiv: 1105.3086 · arxiv_version: 1105.3086v3 · doi: 10.48550/arxiv.1105.3086 · pith_short_12: 4M6N5ZCZZ4IK · pith_short_16: 4M6N5ZCZZ4IKEFLM · pith_short_8: 4M6N5ZCZ

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/4M6N5ZCZZ4IKEFLMN4G5I5LBVC \
  | 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: e33cdee459cf10a2156c6f0dd47561a8995f63cc46b0e0874755e10845747b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e743faf172834eb3ca73b2df31475705e566b66fd882ed79a0fcb8f82cf709",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-05-16T12:57:56Z",
    "title_canon_sha256": "eb21934b1cd296efc098ceb5c31ba1ab46955f839de3e2af257541edd1621a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3086",
    "kind": "arxiv",
    "version": 3
  }
}