Pith Number

pith:47BCNDOS

pith:2006:47BCNDOSGDHKDFIEWEZQCPAQHT

not attested not anchored not stored refs pending

Unitary invariants of qubit systems

Frederic Toumazet, Jean-Gabriel Luque, Jean-Yves Thibon

arxiv:quant-ph/0604202 v1 · 2006-04-27 · 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{47BCNDOSGDHKDFIEWEZQCPAQHT}

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	2026-05-18T03:34:00.351730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7c2268dd230cea19504b133013c103cf882ef215227f3a3ad78026044e6201b

Aliases

arxiv: quant-ph/0604202 · arxiv_version: quant-ph/0604202v1 · doi: 10.48550/arxiv.quant-ph/0604202 · pith_short_12: 47BCNDOSGDHK · pith_short_16: 47BCNDOSGDHKDFIE · pith_short_8: 47BCNDOS

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/47BCNDOSGDHKDFIEWEZQCPAQHT \
  | 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: e7c2268dd230cea19504b133013c103cf882ef215227f3a3ad78026044e6201b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a306f797793345501d982075797fc01262be664d36e7e57cd03c562550a0d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-04-27T12:53:01Z",
    "title_canon_sha256": "7000c83d34687945fb8391f4e19a690d3f05179d8f21b729bf446864995df390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0604202",
    "kind": "arxiv",
    "version": 1
  }
}