Pith Number

pith:SQT6ZAYL

pith:2004:SQT6ZAYLNQHF3W3G3K3WBOMHZJ

not attested not anchored not stored refs pending

A Modified Multifractal Formalism for a Class of Self-Similar Measures

Pablo Shmerkin

arxiv:math/0408047 v1 · 2004-08-03 · 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{SQT6ZAYLNQHF3W3G3K3WBOMHZJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T03:30:38.601959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9427ec830b6c0e5ddb66dab760b987ca777a18b558e6bf39a40b637fa6d61da0

Aliases

arxiv: math/0408047 · arxiv_version: math/0408047v1 · doi: 10.48550/arxiv.math/0408047 · pith_short_12: SQT6ZAYLNQHF · pith_short_16: SQT6ZAYLNQHF3W3G · pith_short_8: SQT6ZAYL

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/SQT6ZAYLNQHF3W3G3K3WBOMHZJ \
  | 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: 9427ec830b6c0e5ddb66dab760b987ca777a18b558e6bf39a40b637fa6d61da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3e04d4a8d36be66ad21c0d70b8f65020413c78556b323516164cd549b6f8fc1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-08-03T18:15:15Z",
    "title_canon_sha256": "d56fe503a61f72e71562dad4332b769b722c172eae49c250e07acd183502a837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408047",
    "kind": "arxiv",
    "version": 1
  }
}