Pith Number

pith:SNVRCK42

pith:2026:SNVRCK423O3EAVX3NVXMDPFTYU

not attested not anchored not stored refs pending

Ranks of Elliptic Curves Twisted by Quadratic Forms

Cihan Sabuncu, Mohammad H. Hamdar

arxiv:2607.13000 v1 · 2026-07-14 · 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{SNVRCK423O3EAVX3NVXMDPFTYU}

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	2026-07-15T01:22:30.169923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

936b112b9adbb64056fb6d6ec1bcb3c53b1a3360f8ab89f425ba60e19619ed67

Aliases

arxiv: 2607.13000 · arxiv_version: 2607.13000v1 · doi: 10.48550/arxiv.2607.13000 · pith_short_12: SNVRCK423O3E · pith_short_16: SNVRCK423O3EAVX3 · pith_short_8: SNVRCK42

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/SNVRCK423O3EAVX3NVXMDPFTYU \
  | 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: 936b112b9adbb64056fb6d6ec1bcb3c53b1a3360f8ab89f425ba60e19619ed67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aec695489a78d2f172f891a1250c29fc85b68e8c20d2c4f43909ac0bfc0f35e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-14T17:49:26Z",
    "title_canon_sha256": "5c81333099d16585dadc02e1ee017dda9e991d04e2da63f19d16fbe865f407d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13000",
    "kind": "arxiv",
    "version": 1
  }
}