Pith Number

pith:UHMBWTK3

pith:2012:UHMBWTK3AY2ZG4FKWZH6B3H2Y4

not attested not anchored not stored refs pending

Automorphy of Calabi-Yau threefolds of Borcea-Voisin type over Q

Noriko Yui, Ron Livne, Yasuhiro Goto

arxiv:1212.3399 v5 · 2012-12-14 · math.NT · 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{UHMBWTK3AY2ZG4FKWZH6B3H2Y4}

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	2026-05-18T02:54:47.168514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1d81b4d5b06359370aab64fe0ecfac70547d47030878fb41e57062226b913dd

Aliases

arxiv: 1212.3399 · arxiv_version: 1212.3399v5 · doi: 10.48550/arxiv.1212.3399 · pith_short_12: UHMBWTK3AY2Z · pith_short_16: UHMBWTK3AY2ZG4FK · pith_short_8: UHMBWTK3

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/UHMBWTK3AY2ZG4FKWZH6B3H2Y4 \
  | 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: a1d81b4d5b06359370aab64fe0ecfac70547d47030878fb41e57062226b913dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976de0c40688ff8b5d3f669ad2a7c5701392145d1b52b460cd71dc2a6c75413b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-14T06:43:35Z",
    "title_canon_sha256": "41fac528854db520c60008df5c408ff7149792f4e82e473020614b5bce279103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3399",
    "kind": "arxiv",
    "version": 5
  }
}