Pith Number

pith:TNAMPEU4

pith:2010:TNAMPEU4OEHMUG54KRFGH4KZB3

not attested not anchored not stored refs pending

On Lebesgue measure of integral self-affine sets

Ievgen Bondarenko, Rostyslav Kravchenko

arxiv:1003.6046 v3 · 2010-03-31 · 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{TNAMPEU4OEHMUG54KRFGH4KZB3}

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	2026-05-18T04:31:29.882924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b40c7929c710eca1bbc544a63f1590efb554ca016065bf8590204d82355e6b4

Aliases

arxiv: 1003.6046 · arxiv_version: 1003.6046v3 · doi: 10.48550/arxiv.1003.6046 · pith_short_12: TNAMPEU4OEHM · pith_short_16: TNAMPEU4OEHMUG54 · pith_short_8: TNAMPEU4

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/TNAMPEU4OEHMUG54KRFGH4KZB3 \
  | 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: 9b40c7929c710eca1bbc544a63f1590efb554ca016065bf8590204d82355e6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd052fd896730d3a8c11b247a6393c81b0ecd5f56a08be7867c1b5129916e314",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-03-31T13:20:45Z",
    "title_canon_sha256": "94523f399099591a1a8ad482e1e620d6a65ab0222c75af3a5ff8a19ada55a38a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.6046",
    "kind": "arxiv",
    "version": 3
  }
}