Pith Number

pith:36OLFN7H

pith:2013:36OLFN7H7SKLIQ7CVYRRJWBB27

not attested not anchored not stored refs pending

An areal analog of Mahler's measure

Igor E. Pritsker

arxiv:1307.5453 v1 · 2013-07-20 · 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{36OLFN7H7SKLIQ7CVYRRJWBB27}

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	2026-05-18T03:17:55.677052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9cb2b7e7fc94b443e2ae2314d821d7f47e9bb08289bd32ba1cf35a1b44b123

Aliases

arxiv: 1307.5453 · arxiv_version: 1307.5453v1 · doi: 10.48550/arxiv.1307.5453 · pith_short_12: 36OLFN7H7SKL · pith_short_16: 36OLFN7H7SKLIQ7C · pith_short_8: 36OLFN7H

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/36OLFN7H7SKLIQ7CVYRRJWBB27 \
  | 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: df9cb2b7e7fc94b443e2ae2314d821d7f47e9bb08289bd32ba1cf35a1b44b123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1f448b6b7a029c0cc935a00f8b005c7ca419246ed56de725e1a0e3c9488eb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-20T19:19:04Z",
    "title_canon_sha256": "aa641d0cc7bc4fd9de3e61eaa5ff59e57da40fdc46fa587e9db7295f74bd73de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5453",
    "kind": "arxiv",
    "version": 1
  }
}