Pith Number

pith:O7SGZ4VJ

pith:2012:O7SGZ4VJMW4CS4WXMAXHRBGSVK

not attested not anchored not stored refs pending

On elliptic curves whose conductor is a product of two prime powers

Mohammad Sadek

arxiv:1206.3715 v2 · 2012-06-16 · 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{O7SGZ4VJMW4CS4WXMAXHRBGSVK}

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	2026-05-18T03:08:38.497627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e46cf2a965b82972d7602e7884d2aa88e96486f5f7c49d296743a763927c7b

Aliases

arxiv: 1206.3715 · arxiv_version: 1206.3715v2 · doi: 10.48550/arxiv.1206.3715 · pith_short_12: O7SGZ4VJMW4C · pith_short_16: O7SGZ4VJMW4CS4WX · pith_short_8: O7SGZ4VJ

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/O7SGZ4VJMW4CS4WXMAXHRBGSVK \
  | 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: 77e46cf2a965b82972d7602e7884d2aa88e96486f5f7c49d296743a763927c7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f25eed010803627d0c190267b9146efa44ea11c38bb74bc1ee0de4b75e417d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-16T23:53:35Z",
    "title_canon_sha256": "b5da3bc2a333a9df1d8ab0a96975e59155b4caa16de0072eadcfad927a534afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3715",
    "kind": "arxiv",
    "version": 2
  }
}