Pith Number

pith:Q6V2KIIO

pith:2017:Q6V2KIIOGDHXRG72H7DI4FVCNV

not attested not anchored not stored refs pending

On Elliptic Curves of prime power conductor over imaginary quadratic fields with class number one

Ariel Pacetti, John Cremona

arxiv:1711.02170 v3 · 2017-11-06 · 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{Q6V2KIIOGDHXRG72H7DI4FVCNV}

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	2026-05-17T23:59:53.541370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87aba5210e30cf789bfa3fc68e16a26d71ccb293795d3afdd34c7034c5c4d756

Aliases

arxiv: 1711.02170 · arxiv_version: 1711.02170v3 · doi: 10.48550/arxiv.1711.02170 · pith_short_12: Q6V2KIIOGDHX · pith_short_16: Q6V2KIIOGDHXRG72 · pith_short_8: Q6V2KIIO

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/Q6V2KIIOGDHXRG72H7DI4FVCNV \
  | 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: 87aba5210e30cf789bfa3fc68e16a26d71ccb293795d3afdd34c7034c5c4d756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3684a9f63e98d0f4fa3800aee2a4d85c2d8da06d8505b1f73ba30a4033d6a738",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-06T20:56:19Z",
    "title_canon_sha256": "8e19c959fe3eff6706915043426d93e75e907340dda46c206f6b955b264189e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02170",
    "kind": "arxiv",
    "version": 3
  }
}