Pith Number

pith:IZHG6NU5

pith:2013:IZHG6NU5XFBNSDCIWOH6R75GMP

not attested not anchored not stored refs pending

Two and three descent for elliptic curves associated with perfect cuboids

John Ramsden, Ruslan Sharipov

arxiv:1303.0765 v1 · 2013-03-04 · 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{IZHG6NU5XFBNSDCIWOH6R75GMP}

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.

Cited by

1 paper in Pith

Quartic reductions and elliptic obstructions for perfect Euler bricks

Receipt and verification

First computed	2026-05-18T03:31:55.012302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464e6f369db942d90c48b38fe8ffa663c7686bd5f46390be13280fe11a1bafff

Aliases

arxiv: 1303.0765 · arxiv_version: 1303.0765v1 · doi: 10.48550/arxiv.1303.0765 · pith_short_12: IZHG6NU5XFBN · pith_short_16: IZHG6NU5XFBNSDCI · pith_short_8: IZHG6NU5

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/IZHG6NU5XFBNSDCIWOH6R75GMP \
  | 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: 464e6f369db942d90c48b38fe8ffa663c7686bd5f46390be13280fe11a1bafff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0092a85eabe9e5d50ea7f3794b40c6372366b2dae8a55464e1192045554a90b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-04T17:53:41Z",
    "title_canon_sha256": "afc14339ce87098c3f39ec825dd3f1633c482f2c3f45d16888e518c8710d2dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0765",
    "kind": "arxiv",
    "version": 1
  }
}