Pith Number

pith:4ISJJZA4

pith:2011:4ISJJZA4U45E3CSIDL76BUWQPW

not attested not anchored not stored refs pending

The Construction of Numerically Calabi-Yau Orders on Projective Surfaces

Hugo Bowne-Anderson

arxiv:1107.0783 v1 · 2011-07-05 · math.RA · 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{4ISJJZA4U45E3CSIDL76BUWQPW}

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	2026-05-18T04:18:52.695049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22494e41ca73a4d8a481affe0d2d07dbe073c42857f1f444e1162e3e19ab14e

Aliases

arxiv: 1107.0783 · arxiv_version: 1107.0783v1 · doi: 10.48550/arxiv.1107.0783 · pith_short_12: 4ISJJZA4U45E · pith_short_16: 4ISJJZA4U45E3CSI · pith_short_8: 4ISJJZA4

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/4ISJJZA4U45E3CSIDL76BUWQPW \
  | 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: e22494e41ca73a4d8a481affe0d2d07dbe073c42857f1f444e1162e3e19ab14e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ec23b668f18c5f8bc6a85adeacc9f8e60dfd0ab24ae62248cc7fa13efbd3ac",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-07-05T05:53:42Z",
    "title_canon_sha256": "a65b7a56d370c45f2f8ff3da8e127b9c72fa7738a4a6e0e573d8671a8ca9fba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0783",
    "kind": "arxiv",
    "version": 1
  }
}