Pith Number

pith:DAYTQXKT

pith:2013:DAYTQXKTSFQKLVJZJDNGOHFRYC

not attested not anchored not stored refs pending

On integral points on biquadratic curves and near-multiples of squares in Lucas sequences

Max A. Alekseyev, Szabolcs Tengely

arxiv:1306.0883 v3 · 2013-06-04 · math.NT · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAYTQXKTSFQKLVJZJDNGOHFRYC}

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	2026-05-18T02:51:34.223189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1831385d539160a5d53948da671cb1c096d23792622e7322d3f64132c850e59a

Aliases

arxiv: 1306.0883 · arxiv_version: 1306.0883v3 · doi: 10.48550/arxiv.1306.0883 · pith_short_12: DAYTQXKTSFQK · pith_short_16: DAYTQXKTSFQKLVJZ · pith_short_8: DAYTQXKT

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/DAYTQXKTSFQKLVJZJDNGOHFRYC \
  | 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: 1831385d539160a5d53948da671cb1c096d23792622e7322d3f64132c850e59a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269ba745086ae7f82f318fc6076b575d02fb679a8c6f8e115e322b15eafeb39a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-04T19:13:02Z",
    "title_canon_sha256": "15da94de4b137fa2b2a8d20789fae6eb5239285df42de7c22e5c1448ab780ebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0883",
    "kind": "arxiv",
    "version": 3
  }
}