Pith Number

pith:QJDQ727M

pith:2013:QJDQ727MVV24RP3YJXFP7LJOQB

not attested not anchored not stored refs pending

On the class numbers of the fields of the p^n-torsion points of certain elliptic curves over Q

Fumio Sairaiji, Takuya Yamauchi

arxiv:1307.7691 v3 · 2013-07-29 · 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{QJDQ727MVV24RP3YJXFP7LJOQB}

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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	2026-05-18T02:55:58.971928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82470febecad75c8bf784dcaffad2e80636c1dc1b328efccb7437afa60ce020e

Aliases

arxiv: 1307.7691 · arxiv_version: 1307.7691v3 · doi: 10.48550/arxiv.1307.7691 · pith_short_12: QJDQ727MVV24 · pith_short_16: QJDQ727MVV24RP3Y · pith_short_8: QJDQ727M

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/QJDQ727MVV24RP3YJXFP7LJOQB \
  | 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: 82470febecad75c8bf784dcaffad2e80636c1dc1b328efccb7437afa60ce020e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03330697bfd799194ebcb1c08c9153acb0e95ad05fca393116c9f41cb98b9941",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-29T19:24:31Z",
    "title_canon_sha256": "956545abb98bb0057d19a91ac497fc5b8c94970f3726ef52127606242797859f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7691",
    "kind": "arxiv",
    "version": 3
  }
}