Pith Number

pith:BT4QWXH2

pith:2017:BT4QWXH2F33B6ZJAZ2QOTCCRWK

not attested not anchored not stored refs pending

The canonical heights for Jordan blocks of small eigenvalues, preperiodic points, and the arithmetic degrees

Kaoru Sano

arxiv:1712.07533 v1 · 2017-12-20 · math.AG · 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{BT4QWXH2F33B6ZJAZ2QOTCCRWK}

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	2026-05-18T00:27:34.307761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf90b5cfa2ef61f6520cea0e98851b2887e33ddb0d261e55852094b82e263f5

Aliases

arxiv: 1712.07533 · arxiv_version: 1712.07533v1 · doi: 10.48550/arxiv.1712.07533 · pith_short_12: BT4QWXH2F33B · pith_short_16: BT4QWXH2F33B6ZJA · pith_short_8: BT4QWXH2

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/BT4QWXH2F33B6ZJAZ2QOTCCRWK \
  | 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: 0cf90b5cfa2ef61f6520cea0e98851b2887e33ddb0d261e55852094b82e263f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad37bfa610cceb6d438ad5a569e6acd9add0386c56ea41c443107c684b2fa7c",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-20T15:44:03Z",
    "title_canon_sha256": "bdfad81daf15c22aab241fe3bda3c513516e113043daadefeff3cc8de4fe96eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07533",
    "kind": "arxiv",
    "version": 1
  }
}