Pith Number

pith:M4OILZAE

pith:1999:M4OILZAEWJSW3ZKZ6P5KWA4YCQ

not attested not anchored not stored refs pending

Expanding Hermitean Operators in a Basis of Projectors on Coherent Spin States

Stefan Weigert

arxiv:quant-ph/9907101 v1 · 1999-07-30 · 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{M4OILZAEWJSW3ZKZ6P5KWA4YCQ}

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	2026-05-18T01:37:52.384758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671c85e404b2656de559f3faab039814152aa2f739aee9ae4f84510e65269340

Aliases

arxiv: quant-ph/9907101 · arxiv_version: quant-ph/9907101v1 · doi: 10.48550/arxiv.quant-ph/9907101 · pith_short_12: M4OILZAEWJSW · pith_short_16: M4OILZAEWJSW3ZKZ · pith_short_8: M4OILZAE

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/M4OILZAEWJSW3ZKZ6P5KWA4YCQ \
  | 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: 671c85e404b2656de559f3faab039814152aa2f739aee9ae4f84510e65269340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c8ec83e96164d2d6fc9c2acec8e4da37479efc23d8542fc81ddeb974b5e940",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-07-30T12:37:15Z",
    "title_canon_sha256": "28835dad5c95a8e37f94c2dd4be2df75cbc5b3a6b5b94f11a8732b5b36568362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9907101",
    "kind": "arxiv",
    "version": 1
  }
}