Pith Number

pith:ED7DYMW2

pith:2012:ED7DYMW2UAEODN7A4XV4EEWHIZ

not attested not anchored not stored refs pending

Group structures of elliptic curves over finite fields

Chantal David, Dimitris Koukoulopoulos, Ethan Smith, Vorrapan Chandee

arxiv:1210.3880 v2 · 2012-10-15 · 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{ED7DYMW2UAEODN7A4XV4EEWHIZ}

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	2026-05-18T00:42:44.747355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20fe3c32daa008e1b7e0e5ebc212c7465c8d63df1247b0a0a0b864dcd641ddfe

Aliases

arxiv: 1210.3880 · arxiv_version: 1210.3880v2 · doi: 10.48550/arxiv.1210.3880 · pith_short_12: ED7DYMW2UAEO · pith_short_16: ED7DYMW2UAEODN7A · pith_short_8: ED7DYMW2

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/ED7DYMW2UAEODN7A4XV4EEWHIZ \
  | 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: 20fe3c32daa008e1b7e0e5ebc212c7465c8d63df1247b0a0a0b864dcd641ddfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f149cf1bad0ab81387cc307b348f9771555da1590ca8b0414f1a55dffe020f84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-15T02:52:07Z",
    "title_canon_sha256": "7d61315095cc84b4bd19dcad84081891919f586b34f965b953a8743671ebf73b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3880",
    "kind": "arxiv",
    "version": 2
  }
}