Pith Number

pith:MWAZUMGS

pith:1999:MWAZUMGSG2WI46FNW7PZRDW5F4

not attested not anchored not stored refs pending

Quantum Hexaspherical Observables for Electrons

Marc-Thierry Jaekel (Laboratoire de Physique The'orique de l'Ecole Normale Supe'rieure), Serge Reynaud (Laboratoire Kastler Brossel)

arxiv:quant-ph/9905093 v1 · 1999-05-27 · quant-ph · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWAZUMGSG2WI46FNW7PZRDW5F4}

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	2026-05-18T00:34:16.494063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65819a30d236ac8e78adb7df988edd2f237263d32bed83565cea83a783dcc98e

Aliases

arxiv: quant-ph/9905093 · arxiv_version: quant-ph/9905093v1 · doi: 10.48550/arxiv.quant-ph/9905093 · pith_short_12: MWAZUMGSG2WI · pith_short_16: MWAZUMGSG2WI46FN · pith_short_8: MWAZUMGS

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/MWAZUMGSG2WI46FNW7PZRDW5F4 \
  | 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: 65819a30d236ac8e78adb7df988edd2f237263d32bed83565cea83a783dcc98e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a243161f132de9cc367b77951bed3cda6d6df079541fb72cf58329461d62c1e4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-05-27T13:21:15Z",
    "title_canon_sha256": "c54dc44ea242549f3b688eef6afd5e80cdec3538e86fc57f7b973911e4b24f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9905093",
    "kind": "arxiv",
    "version": 1
  }
}