Pith Number

pith:53UNJL5O

pith:2016:53UNJL5ODWFCRS3IZEQQQ4AB2I

not attested not anchored not stored refs pending

A remarkable identity in class numbers of cubic rings

Evan M. O'Dorney

arxiv:1608.00166 v1 · 2016-07-30 · 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{53UNJL5ODWFCRS3IZEQQQ4AB2I}

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	2026-05-18T00:29:15.574928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee8d4afae1d8a28cb68c921087001d23d4ac816270d6c6327e0d4d8dee9a934

Aliases

arxiv: 1608.00166 · arxiv_version: 1608.00166v1 · doi: 10.48550/arxiv.1608.00166 · pith_short_12: 53UNJL5ODWFC · pith_short_16: 53UNJL5ODWFCRS3I · pith_short_8: 53UNJL5O

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/53UNJL5ODWFCRS3IZEQQQ4AB2I \
  | 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: eee8d4afae1d8a28cb68c921087001d23d4ac816270d6c6327e0d4d8dee9a934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f02f24c6ee8bddc5ded2c931f154c0b2ad398ed47e046522acc8b31be6ef75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-30T22:49:11Z",
    "title_canon_sha256": "6f48f09c78f2da3f5a2df062747939df9e204708bb7ecc45b78eb97545e512fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00166",
    "kind": "arxiv",
    "version": 1
  }
}