Pith Number

pith:OPLYTNFS

pith:2018:OPLYTNFSYUS5YWFODW77TET4AS

not attested not anchored not stored refs pending

Phase Spaces, Parity Operators, and the Born-Jordan Distribution

B\'alint Koczor, Frederik vom Ende, Maurice de Gosson, Robert Zeier, Steffen J. Glaser

arxiv:1811.05872 v3 · 2018-11-14 · quant-ph · 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{OPLYTNFSYUS5YWFODW77TET4AS}

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.

Cited by

1 paper in Pith

Variational-State Quantum Metrology

Receipt and verification

First computed	2026-07-05T07:05:28.617714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d789b4b2c525dc58ae1dbff9927c04ba9f3143ea0d4c58d5dd30fb695e7c7b

Aliases

arxiv: 1811.05872 · arxiv_version: 1811.05872v3 · doi: 10.48550/arxiv.1811.05872 · pith_short_12: OPLYTNFSYUS5 · pith_short_16: OPLYTNFSYUS5YWFO · pith_short_8: OPLYTNFS

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/OPLYTNFSYUS5YWFODW77TET4AS \
  | 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: 73d789b4b2c525dc58ae1dbff9927c04ba9f3143ea0d4c58d5dd30fb695e7c7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4703c6279ba013d6c0517d501bbc98387d02275c2304721a1fb449bfc7eb57fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-11-14T16:06:52Z",
    "title_canon_sha256": "65bafc9cbf7d990a16120000e369832e91c18f9359ce22470afa2914b044a7c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05872",
    "kind": "arxiv",
    "version": 3
  }
}