Pith Number

pith:T6XXKXGD

pith:2011:T6XXKXGDEZQPGGF46DO5SNHVVV

not attested not anchored not stored refs pending

Foliations with trivial canonical bundle on Fano 3-folds

Frank Loray, Frederic Touzet, Jorge Vitorio Pereira

arxiv:1112.3871 v3 · 2011-12-16 · math.AG · math.CV · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6XXKXGDEZQPGGF46DO5SNHVVV}

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	2026-05-18T03:38:12.716630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9faf755cc32660f318bcf0ddd934f5ad607e77c1cacfb2777fbabf55b0b09da5

Aliases

arxiv: 1112.3871 · arxiv_version: 1112.3871v3 · doi: 10.48550/arxiv.1112.3871 · pith_short_12: T6XXKXGDEZQP · pith_short_16: T6XXKXGDEZQPGGF4 · pith_short_8: T6XXKXGD

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/T6XXKXGDEZQPGGF46DO5SNHVVV \
  | 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: 9faf755cc32660f318bcf0ddd934f5ad607e77c1cacfb2777fbabf55b0b09da5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b808430c3e7ffd39ca4f84205fbbfcd8c80c1117fb6cc9ad816da8f4b78d84",
    "cross_cats_sorted": [
      "math.CV",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-16T16:07:42Z",
    "title_canon_sha256": "9188c6467c7ce7817e931dda4891474a3dcb3992c74a99d443f157420e7ac970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3871",
    "kind": "arxiv",
    "version": 3
  }
}