Pith Number

pith:DTMAFUVV

pith:2024:DTMAFUVVDCLCRBPGF3GZD7BWQ3

not attested not anchored not stored refs pending

A graph-theoretic approach to computing Selmer groups of elliptic curves $y^2 = x^3 + bx$ over $\mathbb{Q}(i)$

Anthony Kling, Ben Savoie

arxiv:2410.22714 v2 · 2024-10-30 · 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{DTMAFUVVDCLCRBPGF3GZD7BWQ3}

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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

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

Receipt and verification

First computed	2026-07-05T11:25:04.993055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd802d2b518962885e62ecd91fc3686daeef80ebd337b730fb5449cb7cb9da4

Aliases

arxiv: 2410.22714 · arxiv_version: 2410.22714v2 · doi: 10.48550/arxiv.2410.22714 · pith_short_12: DTMAFUVVDCLC · pith_short_16: DTMAFUVVDCLCRBPG · pith_short_8: DTMAFUVV

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/DTMAFUVVDCLCRBPGF3GZD7BWQ3 \
  | 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: 1cd802d2b518962885e62ecd91fc3686daeef80ebd337b730fb5449cb7cb9da4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5381805cdcc28a3b3e43954ce8aa485cce2905aacc80a45b6638877912c867e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-30T05:50:04Z",
    "title_canon_sha256": "3e73f380aaf62b2f4da7a26d915fa248afa84f5384dda1e71ef63261b10d35e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.22714",
    "kind": "arxiv",
    "version": 2
  }
}