Pith Number

pith:46KF23KA

pith:2009:46KF23KAU36UYRJJ6QZXH7IAIM

not attested not anchored not stored refs pending

Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves

John Cremona, Michael Stoll, Tom Fisher

arxiv:0908.1741 v1 · 2009-08-12 · 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{46KF23KAU36UYRJJ6QZXH7IAIM}

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	2026-05-18T01:29:13.705164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7945d6d40a6fd4c4529f43373fd00433bd4f18f31d8fab70215284ceb0131e1

Aliases

arxiv: 0908.1741 · arxiv_version: 0908.1741v1 · doi: 10.48550/arxiv.0908.1741 · pith_short_12: 46KF23KAU36U · pith_short_16: 46KF23KAU36UYRJJ · pith_short_8: 46KF23KA

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/46KF23KAU36UYRJJ6QZXH7IAIM \
  | 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: e7945d6d40a6fd4c4529f43373fd00433bd4f18f31d8fab70215284ceb0131e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d738aba4124f9f34492caa13858d9d90c9ba4894048fad669e9a76b68f70705",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-08-12T16:10:30Z",
    "title_canon_sha256": "e319e4811b12351269224ca9ddb994edb66e6f09e7bcb64e2de7ebc033798c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1741",
    "kind": "arxiv",
    "version": 1
  }
}