Pith Number

pith:QP2EVOPJ

pith:2012:QP2EVOPJMPBP2BYD6QRH2L66HU

not attested not anchored not stored refs pending

On the evolution of continued fractions in a fixed quadratic field

Menny Aka, Uri Shapira

arxiv:1201.1280 v2 · 2012-01-05 · 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{QP2EVOPJMPBP2BYD6QRH2L66HU}

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	2026-05-18T03:32:59.958795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f44ab9e963c2fd0703f4227d2fde3d1f1859ee623d863d7a5e0f4ce3bfda02

Aliases

arxiv: 1201.1280 · arxiv_version: 1201.1280v2 · doi: 10.48550/arxiv.1201.1280 · pith_short_12: QP2EVOPJMPBP · pith_short_16: QP2EVOPJMPBP2BYD · pith_short_8: QP2EVOPJ

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/QP2EVOPJMPBP2BYD6QRH2L66HU \
  | 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: 83f44ab9e963c2fd0703f4227d2fde3d1f1859ee623d863d7a5e0f4ce3bfda02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dfc6026c686729da5b7513e4205bfe74d95537a8c773aa936d5daa90dffbfc4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-05T20:41:29Z",
    "title_canon_sha256": "23918c031a2f74097e1aedf2f4ea6a911f87e00cc9c187338348db498f2d9707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1280",
    "kind": "arxiv",
    "version": 2
  }
}