Pith Number

pith:HEXZN22C

pith:2012:HEXZN22CA4ZJCYFF2XUWW2GPAY

not attested not anchored not stored refs pending

Degenerations of K\"ahler-Einstein Fano Manifolds

Cristiano Spotti

arxiv:1211.5334 v1 · 2012-11-22 · math.DG · 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{HEXZN22CA4ZJCYFF2XUWW2GPAY}

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	2026-05-18T03:40:04.670542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

392f96eb4207329160a5d5e96b68cf0624049858d6e8908537e6bf5b89c028ac

Aliases

arxiv: 1211.5334 · arxiv_version: 1211.5334v1 · doi: 10.48550/arxiv.1211.5334 · pith_short_12: HEXZN22CA4ZJ · pith_short_16: HEXZN22CA4ZJCYFF · pith_short_8: HEXZN22C

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/HEXZN22CA4ZJCYFF2XUWW2GPAY \
  | 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: 392f96eb4207329160a5d5e96b68cf0624049858d6e8908537e6bf5b89c028ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05487b6fead4ea0fe45823f1a3ad224e27f256dddbf21acd530743322f26c729",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-22T17:05:24Z",
    "title_canon_sha256": "775a3a634c58d7b14c4830f65761328d0a072ad59c85dc47583d4bb41ea65a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5334",
    "kind": "arxiv",
    "version": 1
  }
}