Pith Number

pith:QBNFGCUX

pith:2012:QBNFGCUXYJB6UNWKDREBKWBXL7

not attested not anchored not stored refs pending

Notes on the Quadratic Integers and Real Quadratic Number Fields

Jeongho Park

arxiv:1208.5353 v5 · 2012-08-27 · 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{QBNFGCUXYJB6UNWKDREBKWBXL7}

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	2026-05-18T01:25:55.993813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805a530a97c243ea36ca1c481558375fc085948afcfa0d31aef56155bb6bd609

Aliases

arxiv: 1208.5353 · arxiv_version: 1208.5353v5 · doi: 10.48550/arxiv.1208.5353 · pith_short_12: QBNFGCUXYJB6 · pith_short_16: QBNFGCUXYJB6UNWK · pith_short_8: QBNFGCUX

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/QBNFGCUXYJB6UNWKDREBKWBXL7 \
  | 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: 805a530a97c243ea36ca1c481558375fc085948afcfa0d31aef56155bb6bd609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee225f77c9a717b23f746d2f37539ebf1c0f8c6a474747107653997b742df009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-27T10:10:09Z",
    "title_canon_sha256": "460e9a7e4990fd803dc45d13346a2c4ee26e744c2b2ff94be77effda07580596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5353",
    "kind": "arxiv",
    "version": 5
  }
}