Pith Number

pith:77WANUMO

pith:2000:77WANUMOIBIINFLK7XGEVCOPUR

not attested not anchored not stored refs pending

Remarks on 2-q-bit states

Berthold-Georg Englert, Nasser Metwally

arxiv:quant-ph/0007053 v1 · 2000-07-17 · 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{77WANUMOIBIINFLK7XGEVCOPUR}

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	2026-05-18T01:38:03.109752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffec06d18e405086956afdcc4a89cfa45ea0a6dc4e6a1611653eb06c74a246a7

Aliases

arxiv: quant-ph/0007053 · arxiv_version: quant-ph/0007053v1 · doi: 10.48550/arxiv.quant-ph/0007053 · pith_short_12: 77WANUMOIBII · pith_short_16: 77WANUMOIBIINFLK · pith_short_8: 77WANUMO

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/77WANUMOIBIINFLK7XGEVCOPUR \
  | 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: ffec06d18e405086956afdcc4a89cfa45ea0a6dc4e6a1611653eb06c74a246a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef837aaae1e5b33ddff82e64e65e449755f89f271b273640d42b28e6f2766320",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-07-17T16:50:17Z",
    "title_canon_sha256": "9ce13cff4015a95e146d4aaf27b982f930ff600742db23ff28acc7ce5ac655e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0007053",
    "kind": "arxiv",
    "version": 1
  }
}