Pith Number

pith:BFYVGA6P

pith:2020:BFYVGA6P6G3N6XVR4CWZ4TVNM2

not attested not anchored not stored refs pending

Constellations in prime elements of number fields

Akihiro Munemasa, Kiyoto Yoshino, Masato Mimura, Shin-ichiro Seki, Wataru Kai

arxiv:2012.15669 v2 · 2020-12-31 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFYVGA6P6G3N6XVR4CWZ4TVNM2}

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.

Cited by

1 paper in Pith

Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728

Receipt and verification

First computed	2026-07-05T04:11:04.776595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09715303cff1b6df5eb1e0ad9e4ead66924d6b955510df2605a705478639f029

Aliases

arxiv: 2012.15669 · arxiv_version: 2012.15669v2 · doi: 10.48550/arxiv.2012.15669 · pith_short_12: BFYVGA6P6G3N · pith_short_16: BFYVGA6P6G3N6XVR · pith_short_8: BFYVGA6P

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/BFYVGA6P6G3N6XVR4CWZ4TVNM2 \
  | 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: 09715303cff1b6df5eb1e0ad9e4ead66924d6b955510df2605a705478639f029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e7c1e9347df2ba7efd6853b8928a5ca7a7d8d7d5459eace8bddcfb5ff58122",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-12-31T15:47:39Z",
    "title_canon_sha256": "620c14b7091a125c10429987cef52b0c01e3783acade7b4982b449f1028392cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15669",
    "kind": "arxiv",
    "version": 2
  }
}