Pith Number

pith:S3YEFZFA

pith:2025:S3YEFZFACAYGWMRZIXRVRBVBQJ

not attested not anchored not stored refs pending

Measurability of Multifractal Topological Entropy and Its Role in Multifractal Theory

Bilel Selmi, Tingting Wang, Zhiming Li

arxiv:2502.20906 v1 · 2025-02-28 · 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{S3YEFZFACAYGWMRZIXRVRBVBQJ}

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	2026-07-05T10:21:42.047816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f042e4a010306b323945e35886a1826251747d25c42f3212adf3991271d424

Aliases

arxiv: 2502.20906 · arxiv_version: 2502.20906v1 · doi: 10.48550/arxiv.2502.20906 · pith_short_12: S3YEFZFACAYG · pith_short_16: S3YEFZFACAYGWMRZ · pith_short_8: S3YEFZFA

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/S3YEFZFACAYGWMRZIXRVRBVBQJ \
  | 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: 96f042e4a010306b323945e35886a1826251747d25c42f3212adf3991271d424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c34dc358b5960db28cff58fc9f62b60dc74049f5f9e7e55cfa367d7aa2f5d698",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-02-28T10:04:19Z",
    "title_canon_sha256": "f2dce1c73e907c8cc7fd204fec9dc278c9872af069f376d47714647ba2d75dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.20906",
    "kind": "arxiv",
    "version": 1
  }
}