Pith Number

pith:KBUCQGUT

pith:2006:KBUCQGUTJ5GM4YPMQ47BSUONW6

not attested not anchored not stored refs pending

The Frobenius formalism in Galois quantum systems

A. Vourdas

arxiv:quant-ph/0605054 v1 · 2006-05-05 · 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{KBUCQGUTJ5GM4YPMQ47BSUONW6}

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	2026-07-04T14:55:11.838124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5068281a934f4cce61ec873e1951cdb7a7103f166dcea789d0bc006233aa7cb8

Aliases

arxiv: quant-ph/0605054 · arxiv_version: quant-ph/0605054v1 · doi: 10.48550/arxiv.quant-ph/0605054 · pith_short_12: KBUCQGUTJ5GM · pith_short_16: KBUCQGUTJ5GM4YPM · pith_short_8: KBUCQGUT

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/KBUCQGUTJ5GM4YPMQ47BSUONW6 \
  | 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: 5068281a934f4cce61ec873e1951cdb7a7103f166dcea789d0bc006233aa7cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68fb477c22946a440cb27a12c457f70d64657dd0d91419c7aa982d33c59c49f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-05-05T13:33:18Z",
    "title_canon_sha256": "844ee38bd297c4421cb2893c4b4aab89a9ff03e7dce259c4ba1cd3c1ab49ac72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0605054",
    "kind": "arxiv",
    "version": 1
  }
}