Pith Number

pith:JAY64LOS

pith:2015:JAY64LOSIYQ6JVT4LRACYFHVAS

not attested not anchored not stored refs pending

Hierarchy of Spin Operators, Quantum Gates, Entanglement, Tensor Product and Eigenvalues

Willi-Hans Steeb, Yorick Hardy

arxiv:1509.07955 v2 · 2015-09-26 · 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{JAY64LOSIYQ6JVT4LRACYFHVAS}

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	2026-05-18T00:12:02.724598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4831ee2dd24621e4d67c5c402c14f504bbc08b21660cdcc2e3765c9ff9045a4b

Aliases

arxiv: 1509.07955 · arxiv_version: 1509.07955v2 · doi: 10.48550/arxiv.1509.07955 · pith_short_12: JAY64LOSIYQ6 · pith_short_16: JAY64LOSIYQ6JVT4 · pith_short_8: JAY64LOS

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/JAY64LOSIYQ6JVT4LRACYFHVAS \
  | 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: 4831ee2dd24621e4d67c5c402c14f504bbc08b21660cdcc2e3765c9ff9045a4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3367688e1cb91739cd88ec960e3edcc8b0f0379f33f85e250fe790b3f2959ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-09-26T09:25:47Z",
    "title_canon_sha256": "bc12bdcf4538c947039be8311aa533885185c9f2f1dcbf86c4181f548eb37d2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07955",
    "kind": "arxiv",
    "version": 2
  }
}