Pith Number

pith:JCKGG5GQ

pith:2012:JCKGG5GQQU2PFAW4BQHLPJQMOM

not attested not anchored not stored refs pending

Modular parametrizations of certain elliptic curves

Koji Tasaka, Matija Kazalicki, Yuichi Sakai

arxiv:1212.6152 v1 · 2012-12-26 · 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{JCKGG5GQQU2PFAW4BQHLPJQMOM}

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	2026-05-18T03:37:42.617780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48946374d08534f282dc0c0eb7a60c7335850c911e0c97bc7f35e2af19f7d0e7

Aliases

arxiv: 1212.6152 · arxiv_version: 1212.6152v1 · doi: 10.48550/arxiv.1212.6152 · pith_short_12: JCKGG5GQQU2P · pith_short_16: JCKGG5GQQU2PFAW4 · pith_short_8: JCKGG5GQ

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/JCKGG5GQQU2PFAW4BQHLPJQMOM \
  | 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: 48946374d08534f282dc0c0eb7a60c7335850c911e0c97bc7f35e2af19f7d0e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb4d8adcaaa52eae2cd24898f87261ac97c1b53c63bd8230e8cf2f53589088b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-26T10:17:49Z",
    "title_canon_sha256": "562472a547743b84f7199c98bf29cc05745fe126f760b659fff5e4549e1ced1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6152",
    "kind": "arxiv",
    "version": 1
  }
}