Pith Number

pith:6ISQMBCB

pith:2013:6ISQMBCB6BYAEF4VKCRZ77KFC7

not attested not anchored not stored refs pending

On the anti-canonical ring and varieties of Fano type

Paolo Cascini, Yoshinori Gongyo

arxiv:1306.4689 v3 · 2013-06-19 · 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{6ISQMBCB6BYAEF4VKCRZ77KFC7}

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	2026-05-18T03:15:44.946274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f225060441f07002179550a39ffd4517f07e2d1767518399347264fa071d626c

Aliases

arxiv: 1306.4689 · arxiv_version: 1306.4689v3 · doi: 10.48550/arxiv.1306.4689 · pith_short_12: 6ISQMBCB6BYA · pith_short_16: 6ISQMBCB6BYAEF4V · pith_short_8: 6ISQMBCB

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/6ISQMBCB6BYAEF4VKCRZ77KFC7 \
  | 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: f225060441f07002179550a39ffd4517f07e2d1767518399347264fa071d626c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4419fd46f7d7e850db17afd09575743ff3b5adf96d7246ec1ef7a455c44b5855",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-19T20:11:07Z",
    "title_canon_sha256": "9f453851d8808bf1bd9db56194c6031f509f5c3bec0fb9e868820a99b6e5d417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4689",
    "kind": "arxiv",
    "version": 3
  }
}