Pith Number

pith:NEWOCROE

pith:2023:NEWOCROELHYRAZVJ5QJ4YCUQVL

not attested not anchored not stored refs pending

Elliptic Curves with positive rank and no integral points

Eleni Agathocleous

arxiv:2302.01059 v4 · 2023-02-02 · 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{NEWOCROELHYRAZVJ5QJ4YCUQVL}

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	2026-07-05T10:42:56.123726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

692ce145c459f11066a9ec13cc0a90aad355948d7d1ab3947e5ac9a2a86c6490

Aliases

arxiv: 2302.01059 · arxiv_version: 2302.01059v4 · doi: 10.48550/arxiv.2302.01059 · pith_short_12: NEWOCROELHYR · pith_short_16: NEWOCROELHYRAZVJ · pith_short_8: NEWOCROE

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/NEWOCROELHYRAZVJ5QJ4YCUQVL \
  | 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: 692ce145c459f11066a9ec13cc0a90aad355948d7d1ab3947e5ac9a2a86c6490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8d638d487f148feb33bc94affbfe79565759c38e81c74104b09f05839db983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-02-02T12:45:06Z",
    "title_canon_sha256": "8871f76058a010c6ab1d63b0be32f9acd44ecb15741efca283382eaed023731f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.01059",
    "kind": "arxiv",
    "version": 4
  }
}