Pith Number

pith:YNXPZGNI

pith:2017:YNXPZGNI4Q6ETS23MIKFZSV5QP

not attested not anchored not stored refs pending

Local torsion primes and the class numbers associated to an elliptic curve over $\mathbb{Q}$

Toshiro Hiranouchi

arxiv:1703.08275 v3 · 2017-03-24 · 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{YNXPZGNI4Q6ETS23MIKFZSV5QP}

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	2026-05-18T00:19:19.421057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36efc99a8e43c49cb5b62145ccabd83f2a80340dd199e4085b5cd34a0f87545

Aliases

arxiv: 1703.08275 · arxiv_version: 1703.08275v3 · doi: 10.48550/arxiv.1703.08275 · pith_short_12: YNXPZGNI4Q6E · pith_short_16: YNXPZGNI4Q6ETS23 · pith_short_8: YNXPZGNI

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/YNXPZGNI4Q6ETS23MIKFZSV5QP \
  | 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: c36efc99a8e43c49cb5b62145ccabd83f2a80340dd199e4085b5cd34a0f87545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89645bcb2cf0dd9d47278c948cb160657574905a068fb15635d14dc94d9a4a6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-24T03:05:29Z",
    "title_canon_sha256": "13ea496a8debef48f04878fac79a1642a13da95666c2640490813bd505e11e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08275",
    "kind": "arxiv",
    "version": 3
  }
}