Pith Number

pith:BGUQKWUF

pith:2001:BGUQKWUF6QZWQZQI3XZ2QQOYII

not attested not anchored not stored refs pending

The mean king's problem: Spin 1

Berthold-Georg Englert, Yakir Aharonov

arxiv:quant-ph/0101065 v1 · 2001-01-16 · 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{BGUQKWUF6QZWQZQI3XZ2QQOYII}

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	2026-05-18T01:38:02.900615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a9055a85f433686608ddf3a841d8421c488e578367b00d1f31c3bbb60f3a05

Aliases

arxiv: quant-ph/0101065 · arxiv_version: quant-ph/0101065v1 · doi: 10.48550/arxiv.quant-ph/0101065 · pith_short_12: BGUQKWUF6QZW · pith_short_16: BGUQKWUF6QZWQZQI · pith_short_8: BGUQKWUF

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/BGUQKWUF6QZWQZQI3XZ2QQOYII \
  | 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: 09a9055a85f433686608ddf3a841d8421c488e578367b00d1f31c3bbb60f3a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4bff10759a9762a2cb9bfa4880cf0756d0b4267b595ee95066ed29e62d3258",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-01-16T11:22:31Z",
    "title_canon_sha256": "0f9705d240b7e068829ab20169815dd02411b0e2fe2ee5d7b7de76135d7e2c28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0101065",
    "kind": "arxiv",
    "version": 1
  }
}