Pith Number

pith:VMGJGSG5

pith:2025:VMGJGSG5RHHV4IX45QTKKYOZVE

not attested not anchored not stored refs pending

$L^2$-Flattening of Self-similar Measures on Non-degenerate Curves

Amir Algom, Osama Khalil

arxiv:2507.07321 v1 · 2025-07-09 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMGJGSG5RHHV4IX45QTKKYOZVE}

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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

2 papers in Pith

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

Quantitative flatness and obstructions in Fourier analysis

Receipt and verification

First computed	2026-07-05T11:34:55.779521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0c9348dd89cf5e22fcec26a561d9a912a0cc104ca5e4b2e54b2cfbd7815e96

Aliases

arxiv: 2507.07321 · arxiv_version: 2507.07321v1 · doi: 10.48550/arxiv.2507.07321 · pith_short_12: VMGJGSG5RHHV · pith_short_16: VMGJGSG5RHHV4IX4 · pith_short_8: VMGJGSG5

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/VMGJGSG5RHHV4IX45QTKKYOZVE \
  | 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: ab0c9348dd89cf5e22fcec26a561d9a912a0cc104ca5e4b2e54b2cfbd7815e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a649168fdcd84da8da0713c0cac70b206a6e02eac65ea60e36c25af9e33c0ce9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-09T22:45:19Z",
    "title_canon_sha256": "898de12b6d907160a0437b5adcea6ec149df2534af5e392cc3855054e83bf5f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07321",
    "kind": "arxiv",
    "version": 1
  }
}