Pith Number

pith:K22FKCVZ

pith:2010:K22FKCVZK7QO3ZPJ3GTZZ3R4J2

not attested not anchored not stored refs pending

Congruent Numbers Via the Pell Equation and its Analogous Counterpart

Farzali Izadi

arxiv:1004.0261 v4 · 2010-04-02 · math.HO · 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{K22FKCVZK7QO3ZPJ3GTZZ3R4J2}

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	2026-05-18T04:32:19.413043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56b4550ab957e0ede5e9d9a79cee3c4ea126a9378f5adc15b8437e072db9b3fe

Aliases

arxiv: 1004.0261 · arxiv_version: 1004.0261v4 · doi: 10.48550/arxiv.1004.0261 · pith_short_12: K22FKCVZK7QO · pith_short_16: K22FKCVZK7QO3ZPJ · pith_short_8: K22FKCVZ

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/K22FKCVZK7QO3ZPJ3GTZZ3R4J2 \
  | 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: 56b4550ab957e0ede5e9d9a79cee3c4ea126a9378f5adc15b8437e072db9b3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d495a27a9d348d353864d34e27a236e2f3354afbd867d5f2f723e8b6cc2456d8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2010-04-02T00:09:59Z",
    "title_canon_sha256": "40b6ea5561bd767a01a4c1a357b63e5bbb4e687abd2cf16f94bdb3bed5488070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0261",
    "kind": "arxiv",
    "version": 4
  }
}