Pith Number

pith:YYCYHISG

pith:2025:YYCYHISGV7MYGDPL4QYRERRY5O

not attested not anchored not stored refs pending

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields

Omer Avci

arxiv:2505.04149 v1 · 2025-05-07 · 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{YYCYHISGV7MYGDPL4QYRERRY5O}

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

Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits

Receipt and verification

First computed	2026-07-05T10:59:37.514430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c60583a246afd9830debe431124638ebaec67825888b9353f17818d5a57636a8

Aliases

arxiv: 2505.04149 · arxiv_version: 2505.04149v1 · doi: 10.48550/arxiv.2505.04149 · pith_short_12: YYCYHISGV7MY · pith_short_16: YYCYHISGV7MYGDPL · pith_short_8: YYCYHISG

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/YYCYHISGV7MYGDPL4QYRERRY5O \
  | 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: c60583a246afd9830debe431124638ebaec67825888b9353f17818d5a57636a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d4b27f7e580a26b5af2dda763a2f9ee4327068bf4a493f745c4be212c1009ff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-07T06:02:08Z",
    "title_canon_sha256": "8b5c340f8c5906d816914b95e798ccab560b72206e1473bdc33834059ace6a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04149",
    "kind": "arxiv",
    "version": 1
  }
}