Pith Number

pith:VW5BJ53I

pith:2006:VW5BJ53IS6FAIC73VKINZ6PTSK

not attested not anchored not stored refs pending

Non-Abelian generalization of off-diagonal geometric phases

David Kult, Erik Sj\"oqvist, Johan {\AA}berg

arxiv:quant-ph/0612164 v2 · 2006-12-19 · 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{VW5BJ53IS6FAIC73VKINZ6PTSK}

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	2026-05-18T04:08:45.663737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adba14f768978a040bfbaa90dcf9f392958f60ac01a669ab82e9903ec47c64b9

Aliases

arxiv: quant-ph/0612164 · arxiv_version: quant-ph/0612164v2 · doi: 10.48550/arxiv.quant-ph/0612164 · pith_short_12: VW5BJ53IS6FA · pith_short_16: VW5BJ53IS6FAIC73 · pith_short_8: VW5BJ53I

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/VW5BJ53IS6FAIC73VKINZ6PTSK \
  | 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: adba14f768978a040bfbaa90dcf9f392958f60ac01a669ab82e9903ec47c64b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd1474b9f6f8ec71634ee0a84844c6fae39ed2e5c608585740d4b81a0263cf4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-12-19T13:22:45Z",
    "title_canon_sha256": "45acf8f7fe0bc4fe4b4fee654d132a47fa4866beda0f82fe275b00ba31805855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0612164",
    "kind": "arxiv",
    "version": 2
  }
}