Pith Number

pith:3MKYR4CD

pith:2018:3MKYR4CDSR5U74ADLFYU7O3OC5

not attested not anchored not stored refs pending

On measures that improve $L^q$ dimension under convolution

Eino Rossi, Pablo Shmerkin

arxiv:1812.05660 v2 · 2018-12-13 · math.CA

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\usepackage{pith}
\pithnumber{3MKYR4CDSR5U74ADLFYU7O3OC5}

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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

$L^q$ dimensions of self-similar measures, and applications: a survey

Receipt and verification

First computed	2026-05-17T23:50:56.414495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1588f043947b4ff00359714fbb6e176f2d560d68621d705ef3325761b496da

Aliases

arxiv: 1812.05660 · arxiv_version: 1812.05660v2 · doi: 10.48550/arxiv.1812.05660 · pith_short_12: 3MKYR4CDSR5U · pith_short_16: 3MKYR4CDSR5U74AD · pith_short_8: 3MKYR4CD

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/3MKYR4CDSR5U74ADLFYU7O3OC5 \
  | 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: db1588f043947b4ff00359714fbb6e176f2d560d68621d705ef3325761b496da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bb75557ee51fcc011965fc98d16fece77c9eb7da09e472caf7880bee98c1eb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-13T20:05:38Z",
    "title_canon_sha256": "fcd43375d58e52f71fda4d2e472362aeab9145e299832e62ba8a2b8946826180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05660",
    "kind": "arxiv",
    "version": 2
  }
}