Pith Number

pith:KFPYTOV2

pith:2011:KFPYTOV2IWTAEJRFNBCZEAIBKQ

not attested not anchored not stored refs pending

Zeta-Functions for Families of Calabi--Yau n-folds with Singularities

Anne Fr\"uhbis-Kr\"uger, Shabnam Kadir

arxiv:1102.0518 v1 · 2011-02-02 · 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{KFPYTOV2IWTAEJRFNBCZEAIBKQ}

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	2026-05-18T04:30:04.840635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

515f89baba45a6022625684592010154303e3fb0851695b1c119b6e9c73e4a98

Aliases

arxiv: 1102.0518 · arxiv_version: 1102.0518v1 · doi: 10.48550/arxiv.1102.0518 · pith_short_12: KFPYTOV2IWTA · pith_short_16: KFPYTOV2IWTAEJRF · pith_short_8: KFPYTOV2

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/KFPYTOV2IWTAEJRFNBCZEAIBKQ \
  | 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: 515f89baba45a6022625684592010154303e3fb0851695b1c119b6e9c73e4a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808c4d70cd30b330112c925692ec5b0f866e42b4bd4f2aac27c3cba17349b9be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-02T17:48:56Z",
    "title_canon_sha256": "be5003b3aa0318b00d5afd8df858bac46a5e7fad6ce12ae196f4260f397282d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0518",
    "kind": "arxiv",
    "version": 1
  }
}