Pith Number

pith:JY7KMIBO

pith:2024:JY7KMIBODFOIUP4Y7FCUXUNXBI

not attested not anchored not stored refs pending

Lower box dimension of infinitely generated self-conformal sets

Alex Rutar, Amlan Banaji

arxiv:2406.12821 v2 · 2024-06-18 · math.DS · math.CA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JY7KMIBODFOIUP4Y7FCUXUNXBI}

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	2026-07-05T08:54:14.737242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e3ea6202e195c8a3f98f9454bd1b70a23cda11cb1f91aa453c54c7ac20b3138

Aliases

arxiv: 2406.12821 · arxiv_version: 2406.12821v2 · doi: 10.48550/arxiv.2406.12821 · pith_short_12: JY7KMIBODFOI · pith_short_16: JY7KMIBODFOIUP4Y · pith_short_8: JY7KMIBO

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/JY7KMIBODFOIUP4Y7FCUXUNXBI \
  | 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: 4e3ea6202e195c8a3f98f9454bd1b70a23cda11cb1f91aa453c54c7ac20b3138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f759310e6eeb36a0644e317ddc0fc727f92ea1a642d0872440bf3a5fb6aa52",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-06-18T17:43:32Z",
    "title_canon_sha256": "bebd4b5c52854e10fc8c26ae71a4b5c77d305ccb1cdcc8f203d9eab3ada5d71d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.12821",
    "kind": "arxiv",
    "version": 2
  }
}