Pith Number

pith:2DB37GHJ

pith:2010:2DB37GHJMPWMJEWCKKQFXOE2AE

not attested not anchored not stored refs pending

On Quadratic Twists of Hyperelliptic Curves

Mohammad Sadek

arxiv:1010.0732 v2 · 2010-10-04 · 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{2DB37GHJMPWMJEWCKKQFXOE2AE}

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	2026-05-18T02:41:59.870090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0c3bf98e963ecc492c252a05bb89a0115c508b4b4116348743f4ba956476e6c

Aliases

arxiv: 1010.0732 · arxiv_version: 1010.0732v2 · doi: 10.48550/arxiv.1010.0732 · pith_short_12: 2DB37GHJMPWM · pith_short_16: 2DB37GHJMPWMJEWC · pith_short_8: 2DB37GHJ

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/2DB37GHJMPWMJEWCKKQFXOE2AE \
  | 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: d0c3bf98e963ecc492c252a05bb89a0115c508b4b4116348743f4ba956476e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50ea574c99c391e019e0945a7558571fbebb0a36b5a84edd6c2c82dc7bd3cf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-04T23:54:00Z",
    "title_canon_sha256": "384eb16f5251256fb3dfcccd667ee10f1066c07ed5674031c741b07d07bf3da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0732",
    "kind": "arxiv",
    "version": 2
  }
}