Pith Number

pith:FT4R5B22

pith:2010:FT4R5B22Z7BDUUQSAJU5IYWHNN

not attested not anchored not stored refs pending

On elliptic curves with an isogeny of degree 7

A. Silverberg, K. Rubin, M. Stoll, R. Greenberg

arxiv:1007.4617 v3 · 2010-07-27 · 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{FT4R5B22Z7BDUUQSAJU5IYWHNN}

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	2026-05-18T03:43:07.798299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf91e875acfc23a52120269d462c76b466a8a20daa15507317f25fc77b5ae7f

Aliases

arxiv: 1007.4617 · arxiv_version: 1007.4617v3 · doi: 10.48550/arxiv.1007.4617 · pith_short_12: FT4R5B22Z7BD · pith_short_16: FT4R5B22Z7BDUUQS · pith_short_8: FT4R5B22

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/FT4R5B22Z7BDUUQSAJU5IYWHNN \
  | 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: 2cf91e875acfc23a52120269d462c76b466a8a20daa15507317f25fc77b5ae7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7effac4192194680df233c1ba41fec44eea17a28368ae7994260282cfa938a49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-27T04:27:05Z",
    "title_canon_sha256": "19f577fa6c406b28c23af3cb171c13419e20822a4e95b5af6025b122f5e4b6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4617",
    "kind": "arxiv",
    "version": 3
  }
}