Pith Number

pith:PY6ORCG2

pith:2024:PY6ORCG2A5TRR3U44F7J5C4WP3

not attested not anchored not stored refs pending

Smoothness of random self-similar measures on the line and the existence of interior points

Bal\'azs B\'ar\'any, Micha{\l} Rams

arxiv:2412.06008 v2 · 2024-12-08 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PY6ORCG2A5TRR3U44F7J5C4WP3}

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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

On the Fourier transform of random Bernoulli convolutions

Receipt and verification

First computed	2026-07-05T11:04:42.540595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e3ce888da076718ee9ce17e9e8b967ef79d6d0bf5fddc2feb661d571c2c4cec

Aliases

arxiv: 2412.06008 · arxiv_version: 2412.06008v2 · doi: 10.48550/arxiv.2412.06008 · pith_short_12: PY6ORCG2A5TR · pith_short_16: PY6ORCG2A5TRR3U4 · pith_short_8: PY6ORCG2

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/PY6ORCG2A5TRR3U44F7J5C4WP3 \
  | 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: 7e3ce888da076718ee9ce17e9e8b967ef79d6d0bf5fddc2feb661d571c2c4cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34bdb08ef6d5f6798bfa00a2d7173ba3536d1fe7f309e49c298f3bd15d633059",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-08T17:45:14Z",
    "title_canon_sha256": "eeb0c5a407291dd141237247fd45ba2ab45dc96e102fa998d9b58881c3eb5d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06008",
    "kind": "arxiv",
    "version": 2
  }
}