Pith Number

pith:56YZVX6F

pith:2012:56YZVX6FG2THFUUTAXDJWFU3GE

not attested not anchored not stored refs pending

On the Regulators of Real Quadratic Number Fields

Jeongho Park

arxiv:1207.0898 v3 · 2012-07-04 · 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{56YZVX6FG2THFUUTAXDJWFU3GE}

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	2026-05-18T03:39:28.449521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efb19adfc536a672d29305c69b169b310e698c2125b0c731151074c748d6b4f3

Aliases

arxiv: 1207.0898 · arxiv_version: 1207.0898v3 · doi: 10.48550/arxiv.1207.0898 · pith_short_12: 56YZVX6FG2TH · pith_short_16: 56YZVX6FG2THFUUT · pith_short_8: 56YZVX6F

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/56YZVX6FG2THFUUTAXDJWFU3GE \
  | 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: efb19adfc536a672d29305c69b169b310e698c2125b0c731151074c748d6b4f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed528319ea259db0fdd086e282121a9644959dc3f9ba8c39af4f9dbf7fb6e065",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-04T05:21:56Z",
    "title_canon_sha256": "2be08f41c66a3b00222caf646823cc451cba5cf2ce63371e23ccaeebbabf02d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0898",
    "kind": "arxiv",
    "version": 3
  }
}