Pith Number

pith:X3KPU5GL

pith:2024:X3KPU5GLDWNRZOBKP5WTUUOFCM

not attested not anchored not stored refs pending

Spectral gaps and Fourier decay for self-conformal measures in the plane

Amir Algom, Federico Rodriguez Hertz, Zhiren Wang

arxiv:2407.11688 v3 · 2024-07-16 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3KPU5GLDWNRZOBKP5WTUUOFCM}

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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

Fourier transform of nonlinear images of self-similar measures: qualitative aspects

Receipt and verification

First computed	2026-07-05T10:47:29.787218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed4fa74cb1d9b1cb82a7f6d3a51c5131ca7fd501ae6f34acf0d50a319b606a9

Aliases

arxiv: 2407.11688 · arxiv_version: 2407.11688v3 · doi: 10.48550/arxiv.2407.11688 · pith_short_12: X3KPU5GLDWNR · pith_short_16: X3KPU5GLDWNRZOBK · pith_short_8: X3KPU5GL

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/X3KPU5GLDWNRZOBKP5WTUUOFCM \
  | 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: bed4fa74cb1d9b1cb82a7f6d3a51c5131ca7fd501ae6f34acf0d50a319b606a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9ce4aea1a6ddf108a50b1d5669b0072f01d02c884f638ac7e5c7b937084d1a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-07-16T13:04:17Z",
    "title_canon_sha256": "9825158b309de4c6d3b40ee85f76a8fe48c24240108af5a1b72b66f6529c8485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.11688",
    "kind": "arxiv",
    "version": 3
  }
}