Pith Number

pith:X4WC6KTA

pith:2011:X4WC6KTAB6TBV4IN2YYYH5GX4Q

not attested not anchored not stored refs pending

Quadratic twists of rigid Calabi-Yau threefolds over $\QQ$

Fernando Q. Gouv\^ea, Ian Kiming, Noriko Yui

arxiv:1111.5275 v2 · 2011-11-22 · math.AG · 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{X4WC6KTAB6TBV4IN2YYYH5GX4Q}

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	2026-05-18T03:56:24.132343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2c2f2a600fa61af10dd63183f4d7e4397d3a046c1f304850d0ee24fa8e04ef

Aliases

arxiv: 1111.5275 · arxiv_version: 1111.5275v2 · doi: 10.48550/arxiv.1111.5275 · pith_short_12: X4WC6KTAB6TB · pith_short_16: X4WC6KTAB6TBV4IN · pith_short_8: X4WC6KTA

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/X4WC6KTAB6TBV4IN2YYYH5GX4Q \
  | 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: bf2c2f2a600fa61af10dd63183f4d7e4397d3a046c1f304850d0ee24fa8e04ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "843eae206a16bc3e252d2a91cf1784726762e6ef67f05244509d39ed231e9074",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-22T18:32:45Z",
    "title_canon_sha256": "e203ff9465a9989d230c76e1a06eb6dde8afd5c9f2d1ef286011fbbd9925e1bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5275",
    "kind": "arxiv",
    "version": 2
  }
}