Pith Number

pith:73UZV3JW

pith:2011:73UZV3JWRCRWB4KGRUOZRCCVIX

not attested not anchored not stored refs pending

Rational Points on Elliptic Curves y^2=x^3+a^3 in f_{p} where p{\equiv}1(mod6) is Prime

Gokhan Soydan, Ismail Naci Cangul, Musa Demirci

arxiv:1106.5218 v1 · 2011-06-26 · 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{73UZV3JWRCRWB4KGRUOZRCCVIX}

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	2026-05-18T04:19:14.069354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee99aed3688a360f1468d1d98885545fa8bef5c00a0c06142ae3d5d3aa39acd

Aliases

arxiv: 1106.5218 · arxiv_version: 1106.5218v1 · doi: 10.48550/arxiv.1106.5218 · pith_short_12: 73UZV3JWRCRW · pith_short_16: 73UZV3JWRCRWB4KG · pith_short_8: 73UZV3JW

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/73UZV3JWRCRWB4KGRUOZRCCVIX \
  | 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: fee99aed3688a360f1468d1d98885545fa8bef5c00a0c06142ae3d5d3aa39acd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f3a445f0f05f384aafc8d7dd055b7c95b1e7d2f013df53f42f9b03480f7348",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-26T12:29:23Z",
    "title_canon_sha256": "0680ee24f0e564929fb8e892836396067af0ad1d4679cb073b9b4f38276ecc9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5218",
    "kind": "arxiv",
    "version": 1
  }
}