Pith Number

pith:VKOXTZ6T

pith:2022:VKOXTZ6TWPLYBPB3HJBZ4DCTFK

not attested not anchored not stored refs pending

Formalized Class Group Computations and Integral Points on Mordell Elliptic Curves

Alex J. Best, Anne Baanen, Nirvana Coppola, Sander R. Dahmen

arxiv:2209.15492 v2 · 2022-09-30 · cs.LO · 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{VKOXTZ6TWPLYBPB3HJBZ4DCTFK}

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	2026-07-05T05:27:59.982128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9d79e7d3b3d780bc3b3a439e0c532a84890c8fb15300ff19f5ec59cd09a4af

Aliases

arxiv: 2209.15492 · arxiv_version: 2209.15492v2 · doi: 10.48550/arxiv.2209.15492 · pith_short_12: VKOXTZ6TWPLY · pith_short_16: VKOXTZ6TWPLYBPB3 · pith_short_8: VKOXTZ6T

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/VKOXTZ6TWPLYBPB3HJBZ4DCTFK \
  | 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: aa9d79e7d3b3d780bc3b3a439e0c532a84890c8fb15300ff19f5ec59cd09a4af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb1fc918207541be4e45b03b1c6ee942cd5e893a19308970f1a653244394ece",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-09-30T14:28:46Z",
    "title_canon_sha256": "a201004e4d7207292cd62acd0023b28044b60f7fbe32badde19ede24dccf5e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.15492",
    "kind": "arxiv",
    "version": 2
  }
}