Pith Number

pith:55IPIGIC

pith:2025:55IPIGICDZ336Q3UL33KJTUZKE

not attested not anchored not stored refs pending

Hausdorff dimensions of Beatty multiple shifts

Guan-Yu Lai, Jung-Chao Ban, Wen-Guei Hu

arxiv:2507.10982 v1 · 2025-07-15 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55IPIGICDZ336Q3UL33KJTUZKE}

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	2026-07-05T11:37:29.781106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef50f419021e77bf43745ef6a4ce99513b5b4ef687ee789f5e2b009b9667f162

Aliases

arxiv: 2507.10982 · arxiv_version: 2507.10982v1 · doi: 10.48550/arxiv.2507.10982 · pith_short_12: 55IPIGICDZ33 · pith_short_16: 55IPIGICDZ336Q3U · pith_short_8: 55IPIGIC

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/55IPIGICDZ336Q3UL33KJTUZKE \
  | 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: ef50f419021e77bf43745ef6a4ce99513b5b4ef687ee789f5e2b009b9667f162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7800478b301f95c56c05755eeca60f597aa2c696a42bcc46f1a2889ea2e3e8e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-15T04:55:56Z",
    "title_canon_sha256": "7e8d20f87dc33d2ac9aa1016ddffabd0b1b3a444cc60547fceb7ddff6fe435eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10982",
    "kind": "arxiv",
    "version": 1
  }
}