Pith Number

pith:V42OIGAR

pith:2024:V42OIGARLIVLFVDFL4MJMY3KQU

not attested not anchored not stored refs pending

$K_2$ of families of elliptic curves over non-Abelian cubic and quartic fields

Fernando Rodriguez Villegas, Fran\c{c}ois Brunault, Hang Liu, Rob de Jeu

arxiv:2401.04510 v1 · 2024-01-09 · math.NT · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V42OIGARLIVLFVDFL4MJMY3KQU}

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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.

Cited by

1 paper in Pith

Paratrophic Determinants over $\mathbb{Z}/N\mathbb{Z}$ via Discrete Fourier Transform

Receipt and verification

First computed	2026-07-05T07:31:45.476289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af34e418115a2ab2d4655f1896636a851b698f2b00c0da8a79abd426fd1a981b

Aliases

arxiv: 2401.04510 · arxiv_version: 2401.04510v1 · doi: 10.48550/arxiv.2401.04510 · pith_short_12: V42OIGARLIVL · pith_short_16: V42OIGARLIVLFVDF · pith_short_8: V42OIGAR

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/V42OIGARLIVLFVDFL4MJMY3KQU \
  | 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: af34e418115a2ab2d4655f1896636a851b698f2b00c0da8a79abd426fd1a981b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d33bbaf0c2715256ea24c2d5121bbbb47b48d41cbe122b2be92e73ce64062e",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-01-09T12:06:09Z",
    "title_canon_sha256": "6a006d6d892e6565eea6375601b2ecc72de5cab8a261a46868bd9e8584995e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04510",
    "kind": "arxiv",
    "version": 1
  }
}