Pith Number

pith:FEWULJLY

pith:2019:FEWULJLYH7OSXEVK3WAIZWJLY7

not attested not anchored not stored refs pending

Pauli Matrices: A Triple of Accardi Complementary Observables

Stephen Bruce Sontz

arxiv:1908.03828 v2 · 2019-08-10 · math-ph · math.MP · 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{FEWULJLYH7OSXEVK3WAIZWJLY7}

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	2026-07-04T23:59:08.413364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

292d45a5783fdd2b92aadd808cd92bc7f235080ec7cc6e5995c1f035038b0c14

Aliases

arxiv: 1908.03828 · arxiv_version: 1908.03828v2 · doi: 10.48550/arxiv.1908.03828 · pith_short_12: FEWULJLYH7OS · pith_short_16: FEWULJLYH7OSXEVK · pith_short_8: FEWULJLY

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/FEWULJLYH7OSXEVK3WAIZWJLY7 \
  | 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: 292d45a5783fdd2b92aadd808cd92bc7f235080ec7cc6e5995c1f035038b0c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d235f55eec9ff02213822e03d29d5af6d9b2e7216b7ba5b368057c69690b7f6f",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-10T23:43:48Z",
    "title_canon_sha256": "243b73410cff007eb2ddfe4fbd30cde072db234909c2373000a0b886423362ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03828",
    "kind": "arxiv",
    "version": 2
  }
}