Pith Number

pith:WFEA2QLU

pith:2025:WFEA2QLUU42AWRQAGS4V23RBXU

not attested not anchored not stored refs pending

Fourier Frames on Salem Measures

Bochen Liu, Longhui Li

arxiv:2506.01280 v1 · 2025-06-02 · math.CA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFEA2QLUU42AWRQAGS4V23RBXU}

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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

Cantor measures with odd base do not admit Fourier frames

Receipt and verification

First computed	2026-07-05T11:14:11.139393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1480d4174a7340b460034b95d6e21bd1b3b58b35b9ffc48b23a8cd79981ceba

Aliases

arxiv: 2506.01280 · arxiv_version: 2506.01280v1 · doi: 10.48550/arxiv.2506.01280 · pith_short_12: WFEA2QLUU42A · pith_short_16: WFEA2QLUU42AWRQA · pith_short_8: WFEA2QLU

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/WFEA2QLUU42AWRQAGS4V23RBXU \
  | 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: b1480d4174a7340b460034b95d6e21bd1b3b58b35b9ffc48b23a8cd79981ceba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd0979da4e00def3bdd67968ab751c78bf0c2115f641bb20797ef06f2e8a69e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-02T03:25:32Z",
    "title_canon_sha256": "0bb3e8cac37db1ebf2f3f316dbeb521a9e889916ae08236a2aa26d064d130a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01280",
    "kind": "arxiv",
    "version": 1
  }
}