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Pith Number

pith:H7W7EXAC

pith:2022:H7W7EXACR7PM5DFYTXHSP522PY
not attested not anchored not stored refs pending

From completeness of discrete translates to phaseless sampling of the short-time Fourier transform

Irina Shafkulovska, Lukas Liehr, Philipp Grohs

arxiv:2211.05687 v2 · 2022-11-10 · math.FA · math.CA · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{H7W7EXACR7PM5DFYTXHSP522PY}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T10:56:03.745770Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3fedf25c028fdece8cb89dcf27f75a7e39c2959d3e012f6f3fbf136a49f42849

Aliases

arxiv: 2211.05687 · arxiv_version: 2211.05687v2 · doi: 10.48550/arxiv.2211.05687 · pith_short_12: H7W7EXACR7PM · pith_short_16: H7W7EXACR7PM5DFY · pith_short_8: H7W7EXAC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/H7W7EXACR7PM5DFYTXHSP522PY \
  | 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: 3fedf25c028fdece8cb89dcf27f75a7e39c2959d3e012f6f3fbf136a49f42849
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "270ca037d8f1535b46564b93827f88c78b76fb6aa2bca42c9c28035c10d4355c",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-11-10T16:48:19Z",
    "title_canon_sha256": "40c50de169aaa9fd67426132a869e7a189aee35b7144d17baa4939ad44d2366f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.05687",
    "kind": "arxiv",
    "version": 2
  }
}