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Pith Number

pith:VG5FYCJ7

pith:2019:VG5FYCJ7IJZIXKAOXZLP6ZACOG
not attested not anchored not stored refs pending

Quasiprobability distribution functions from fractional Fourier transforms

A. Z\'u\~niga-Segundo, H\'ector M. Moya-Cessa, Jorge A. Anaya-Contreras

arxiv:1902.06031 v1 · 2019-02-16 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VG5FYCJ7IJZIXKAOXZLP6ZACOG}

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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 2026-05-17T23:53:46.831815Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9ba5c093f42728ba80ebe56ff64027189fd5a9ad76d7465649c9ea4d23f6c33

Aliases

arxiv: 1902.06031 · arxiv_version: 1902.06031v1 · doi: 10.48550/arxiv.1902.06031 · pith_short_12: VG5FYCJ7IJZI · pith_short_16: VG5FYCJ7IJZIXKAO · pith_short_8: VG5FYCJ7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VG5FYCJ7IJZIXKAOXZLP6ZACOG \
  | 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: a9ba5c093f42728ba80ebe56ff64027189fd5a9ad76d7465649c9ea4d23f6c33
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f5d3b2b3fa7d80a8e1697ed01b434c2a9bf987dd349aefc44b5fdd9033fc3a20",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-02-16T02:56:25Z",
    "title_canon_sha256": "b8f4f60374dbc7db4a9a65f255cfa87bbcbd78bfaeea8db267039a594ed6efde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06031",
    "kind": "arxiv",
    "version": 1
  }
}