Pith Number

pith:MLK4YU3D

pith:2011:MLK4YU3DHEOUDEAWL6U55A7YPO

not attested not anchored not stored refs pending

Solving the Pell equation via R\'edei rational functions

Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1103.3762 v1 · 2011-03-19 · 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{MLK4YU3DHEOUDEAWL6U55A7YPO}

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	2026-05-18T04:26:22.370732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d5cc5363391d4190165fa9de83f87ba90a7c880b702912ac4a889a49e432a8

Aliases

arxiv: 1103.3762 · arxiv_version: 1103.3762v1 · doi: 10.48550/arxiv.1103.3762 · pith_short_12: MLK4YU3DHEOU · pith_short_16: MLK4YU3DHEOUDEAW · pith_short_8: MLK4YU3D

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/MLK4YU3DHEOUDEAWL6U55A7YPO \
  | 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: 62d5cc5363391d4190165fa9de83f87ba90a7c880b702912ac4a889a49e432a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77b21fdd73484b5ec4f285eda14ed1a86591beb68bb533874d262d678c30a134",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-19T07:33:26Z",
    "title_canon_sha256": "7fd040d23ba64f1b021b699abe5bd2912fc8ee69b3137a694b05ce006717c5cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3762",
    "kind": "arxiv",
    "version": 1
  }
}