Pith Number

pith:I3ZAT77J

pith:2019:I3ZAT77JIY4NFXULBAWRJFDGVB

not attested not anchored not stored refs pending

Explicit transformation of an intersection of two quadrics to an elliptic curve in Weierstrass form

Erich Selder, Hagen Knaf, Karlheinz Spindler

arxiv:1906.10230 v2 · 2019-06-24 · math.AG · 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{I3ZAT77JIY4NFXULBAWRJFDGVB}

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

Elliptic curves in game theory

Receipt and verification

First computed	2026-07-05T00:50:25.094219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f209ffe94638d2de8b082d149466a875d449b17d2a72733668fe22b7879753

Aliases

arxiv: 1906.10230 · arxiv_version: 1906.10230v2 · doi: 10.48550/arxiv.1906.10230 · pith_short_12: I3ZAT77JIY4N · pith_short_16: I3ZAT77JIY4NFXUL · pith_short_8: I3ZAT77J

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/I3ZAT77JIY4NFXULBAWRJFDGVB \
  | 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: 46f209ffe94638d2de8b082d149466a875d449b17d2a72733668fe22b7879753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da3bda8409bcedba4fb4aaa36f9c49d8181ee2d34ffad3de82e49e177db7e6a2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-24T21:05:40Z",
    "title_canon_sha256": "22b218e7f6b4c4dac0e77cb4d6374704b1ca51133780d5a51add5dfaa3818cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10230",
    "kind": "arxiv",
    "version": 2
  }
}