Pith Number

pith:NKU7VGLK

pith:2017:NKU7VGLKFBHBGY5PTGBW4BO7TM

not attested not anchored not stored refs pending

Non-liftable Calabi-Yau varieties in characteristic $p \geq 5$

Maciej Zdanowicz, Piotr Achinger

arxiv:1710.08202 v1 · 2017-10-23 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKU7VGLKFBHBGY5PTGBW4BO7TM}

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	2026-05-18T00:32:16.961258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa9fa996a284e1363af99836e05df9b090e64d8575a21f5b47039adb942f663

Aliases

arxiv: 1710.08202 · arxiv_version: 1710.08202v1 · doi: 10.48550/arxiv.1710.08202 · pith_short_12: NKU7VGLKFBHB · pith_short_16: NKU7VGLKFBHBGY5P · pith_short_8: NKU7VGLK

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/NKU7VGLKFBHBGY5PTGBW4BO7TM \
  | 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: 6aa9fa996a284e1363af99836e05df9b090e64d8575a21f5b47039adb942f663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4818e9cfafbc91f0f600af0479480153ac7e8ed7c80b0f18113b18c0b27ba83b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-23T11:10:37Z",
    "title_canon_sha256": "79aefd085c6141de7da63156d86eb4e457c16adb5267babfca634536fded152b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08202",
    "kind": "arxiv",
    "version": 1
  }
}