Pith Number

pith:ZV7EVBZI

pith:2014:ZV7EVBZIOMTO5XU63A3YZW2MOS

not attested not anchored not stored refs pending

Spin Operators, Pauli Group, Commutators, Anti-Commutators, Kronecker Product and Applications

Willi-Hans Steeb, Yorick Hardy

arxiv:1405.5749 v2 · 2014-05-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZV7EVBZIOMTO5XU63A3YZW2MOS}

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	2026-05-18T02:50:42.139879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7e4a87287326eede9ed8378cdb4c748daa3ba886ea8eead92bc8b318d73e05

Aliases

arxiv: 1405.5749 · arxiv_version: 1405.5749v2 · doi: 10.48550/arxiv.1405.5749 · pith_short_12: ZV7EVBZIOMTO · pith_short_16: ZV7EVBZIOMTO5XU6 · pith_short_8: ZV7EVBZI

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/ZV7EVBZIOMTO5XU63A3YZW2MOS \
  | 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: cd7e4a87287326eede9ed8378cdb4c748daa3ba886ea8eead92bc8b318d73e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333eed7461f4208271c49458aba1b0e1e4f2921a6961d0bc09689bf615036167",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-05-22T13:20:14Z",
    "title_canon_sha256": "f0822db389456b2b2623a2c2a78d0c78976ea2c844e316ff2ca6f16bdb4f1212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5749",
    "kind": "arxiv",
    "version": 2
  }
}