Pith Number

pith:OJZEMI4Y

pith:2010:OJZEMI4YDCNEEPEWE5GHUO2NHS

not attested not anchored not stored refs pending

On the continued fraction expansion of the unique root in F(p) of the equation x^4+x^2-Tx-1:12=0 and other related hyperquadratic expansions

Alain Lasjaunias

arxiv:1009.6139 v1 · 2010-09-30 · 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{OJZEMI4YDCNEEPEWE5GHUO2NHS}

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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	2026-05-18T04:40:00.996386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7272462398189a423c96274c7a3b4d3cb4eba0484399bc67e2ce071a6e87525d

Aliases

arxiv: 1009.6139 · arxiv_version: 1009.6139v1 · doi: 10.48550/arxiv.1009.6139 · pith_short_12: OJZEMI4YDCNE · pith_short_16: OJZEMI4YDCNEEPEW · pith_short_8: OJZEMI4Y

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/OJZEMI4YDCNEEPEWE5GHUO2NHS \
  | 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: 7272462398189a423c96274c7a3b4d3cb4eba0484399bc67e2ce071a6e87525d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59482c5be5deb6e175720d4e54f34a2d7a2a8699cf29e9b75bf144979e883d1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-30T13:59:08Z",
    "title_canon_sha256": "9ce80788395f471688ed95af272fc9b36319d7548298304af242258d9528095a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6139",
    "kind": "arxiv",
    "version": 1
  }
}