Pith Number

pith:427ABD2N

pith:2012:427ABD2NZNHSC3B2DQANHCRBPH

not attested not anchored not stored refs pending

Hausdorff dimension of the set of real numbers of Lagrange value three

Mark Sheingorn, Thomas A. Schmidt

arxiv:1201.4161 v1 · 2012-01-19 · 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{427ABD2NZNHSC3B2DQANHCRBPH}

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	2026-05-18T04:04:15.757138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6be008f4dcb4f216c3a1c00d38a2179f81b1c3386ba270ace1d901eea0b07cd

Aliases

arxiv: 1201.4161 · arxiv_version: 1201.4161v1 · doi: 10.48550/arxiv.1201.4161 · pith_short_12: 427ABD2NZNHS · pith_short_16: 427ABD2NZNHSC3B2 · pith_short_8: 427ABD2N

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/427ABD2NZNHSC3B2DQANHCRBPH \
  | 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: e6be008f4dcb4f216c3a1c00d38a2179f81b1c3386ba270ace1d901eea0b07cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6372fd4b334259cb5d7541618dabb84c396a180b57bc05cdaaeb9094784c412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-19T19:54:12Z",
    "title_canon_sha256": "914fc7404a93346fd530499f3e621bbce8ae2b70c59ebc795a1e893600734db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4161",
    "kind": "arxiv",
    "version": 1
  }
}