Pith Number

pith:SBE74KCY

pith:2011:SBE74KCY4HHIWL4GNJIURJ343A

not attested not anchored not stored refs pending

Birational superrigidity and slope stability of Fano manifolds

Takuzo Okada, Yuji Odaka

arxiv:1107.3910 v2 · 2011-07-20 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBE74KCY4HHIWL4GNJIURJ343A}

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	2026-05-18T03:27:11.613982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9049fe2858e1ce8b2f866a5148a77cd81e770f383a9e9ec7d787f4d13b0c6e5a

Aliases

arxiv: 1107.3910 · arxiv_version: 1107.3910v2 · doi: 10.48550/arxiv.1107.3910 · pith_short_12: SBE74KCY4HHI · pith_short_16: SBE74KCY4HHIWL4G · pith_short_8: SBE74KCY

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/SBE74KCY4HHIWL4GNJIURJ343A \
  | 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: 9049fe2858e1ce8b2f866a5148a77cd81e770f383a9e9ec7d787f4d13b0c6e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b840d248d294c38813a67f1220c9548bc0fc702b193d6bb1418bd7aa00c5d3fd",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-20T07:11:03Z",
    "title_canon_sha256": "e7c004eb540db6b716d9ad02f233d581e5ae048a3472d0472590fb3d974f8c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3910",
    "kind": "arxiv",
    "version": 2
  }
}