Pith Number

pith:H4HLXOO3

pith:2011:H4HLXOO32Z3NM6L432IPAR25HT

not attested not anchored not stored refs pending

On the existence of certain weak Fano threefolds of Picard number two

Joseph Cutrone, Maxim Arap, Nicholas Marshburn

arxiv:1112.2611 v4 · 2011-12-12 · 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{H4HLXOO32Z3NM6L432IPAR25HT}

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	2026-05-18T02:27:49.839269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0ebbb9dbd676d6797cde90f0475d3cc39b075b1e0feea8dd4c947a3045227c

Aliases

arxiv: 1112.2611 · arxiv_version: 1112.2611v4 · doi: 10.48550/arxiv.1112.2611 · pith_short_12: H4HLXOO32Z3N · pith_short_16: H4HLXOO32Z3NM6L4 · pith_short_8: H4HLXOO3

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/H4HLXOO32Z3NM6L432IPAR25HT \
  | 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: 3f0ebbb9dbd676d6797cde90f0475d3cc39b075b1e0feea8dd4c947a3045227c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d5a4225596f7f73b0e80d3b4ef5d02c5a94e3563885b84f427462b29da85aeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-12T16:32:47Z",
    "title_canon_sha256": "1de9d6cd54b942efa500d8c65feb22f378dfcdbee3473c669c6c82a13d9b58d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2611",
    "kind": "arxiv",
    "version": 4
  }
}