Pith Number

pith:K7NPA2FZ

pith:2015:K7NPA2FZ7XJABWON7EWP3FA5PW

not attested not anchored not stored refs pending

Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem

Benjamin Wesolowski, Dimitar Jetchev

arxiv:1506.00522 v2 · 2015-06-01 · math.NT · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7NPA2FZ7XJABWON7EWP3FA5PW}

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	2026-05-18T00:52:08.635153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57daf068b9fdd200d9cdf92cfd941d7da29c61eb221293a991869ec5f84e4e3b

Aliases

arxiv: 1506.00522 · arxiv_version: 1506.00522v2 · doi: 10.48550/arxiv.1506.00522 · pith_short_12: K7NPA2FZ7XJA · pith_short_16: K7NPA2FZ7XJABWON · pith_short_8: K7NPA2FZ

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/K7NPA2FZ7XJABWON7EWP3FA5PW \
  | 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: 57daf068b9fdd200d9cdf92cfd941d7da29c61eb221293a991869ec5f84e4e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de14c7faf8803f27d59a83c40199296fb20bf609d3790681db6a0c4d41f96b0a",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-01T14:59:16Z",
    "title_canon_sha256": "88e7622d8fea9107bafb0b5d4c9c9e28484c1dc2d3fdc4d5d95b1a38230785e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00522",
    "kind": "arxiv",
    "version": 2
  }
}