Pith Number

pith:ZGGIIA36

pith:2019:ZGGIIA36MP7W4MY6PPVPOIPRHF

not attested not anchored not stored refs pending

An Algorithm to Find Rational Points on Elliptic Curves Related to the Concordant Form Problem

Erich Selder, Hagen Knaf, Karlheinz Spindler

arxiv:1907.02148 v1 · 2019-07-03 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGGIIA36MP7W4MY6PPVPOIPRHF}

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	2026-05-17T23:41:29.683221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c98c84037e63ff6e331e7beaf721f13979728cd6587141a1cf2a41dd23349794

Aliases

arxiv: 1907.02148 · arxiv_version: 1907.02148v1 · doi: 10.48550/arxiv.1907.02148 · pith_short_12: ZGGIIA36MP7W · pith_short_16: ZGGIIA36MP7W4MY6 · pith_short_8: ZGGIIA36

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/ZGGIIA36MP7W4MY6PPVPOIPRHF \
  | 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: c98c84037e63ff6e331e7beaf721f13979728cd6587141a1cf2a41dd23349794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "893205e9c36f89da44b63345a13f076ad6d6cfd52e9d9407493f15067cf3fd8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-03T22:15:37Z",
    "title_canon_sha256": "105736be98d7b0e7ea8b3fc303a4850b4e4ee9bab52b77ce46ffdaae797606b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02148",
    "kind": "arxiv",
    "version": 1
  }
}