Pith Number

pith:E3P66GZ4

pith:2010:E3P66GZ432UT6DLD6QFXKKIPYA

not attested not anchored not stored refs pending

Fractal curvature measures and Minkowski content for one-dimensional self-conformal sets

Marc Kesseb\"ohmer, Sabrina Kombrink

arxiv:1012.5399 v2 · 2010-12-24 · math.MG · 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{E3P66GZ432UT6DLD6QFXKKIPYA}

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	2026-05-18T00:33:33.141071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26dfef1b3cdea93f0d63f40b75290fc00d381da7125897f49ce4b62ff4aa9f94

Aliases

arxiv: 1012.5399 · arxiv_version: 1012.5399v2 · doi: 10.48550/arxiv.1012.5399 · pith_short_12: E3P66GZ432UT · pith_short_16: E3P66GZ432UT6DLD · pith_short_8: E3P66GZ4

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/E3P66GZ432UT6DLD6QFXKKIPYA \
  | 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: 26dfef1b3cdea93f0d63f40b75290fc00d381da7125897f49ce4b62ff4aa9f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43701c2ae858ee4839809cfa4a2d4696c742d9c001a7e32b97ae894247f0b5b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-12-24T14:02:36Z",
    "title_canon_sha256": "f68593ba9eaad872253eb165115f31072baa14b2cddcc4dec1fcc2c42b8f6bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5399",
    "kind": "arxiv",
    "version": 2
  }
}