Pith Number

pith:BIPTSZMC

pith:2010:BIPTSZMCJD4C6UH4OPEGB47EZN

not attested not anchored not stored refs pending

Alpha invariant and K-stability of Q-Fano varieties

Yuji Odaka, Yuji Sano

arxiv:1011.6131 v2 · 2010-11-29 · 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{BIPTSZMCJD4C6UH4OPEGB47EZN}

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	2026-05-18T03:49:10.558709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a1f39658248f82f50fc73c860f3e4cb5261108b12382bf3524931b584423efc

Aliases

arxiv: 1011.6131 · arxiv_version: 1011.6131v2 · doi: 10.48550/arxiv.1011.6131 · pith_short_12: BIPTSZMCJD4C · pith_short_16: BIPTSZMCJD4C6UH4 · pith_short_8: BIPTSZMC

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/BIPTSZMCJD4C6UH4OPEGB47EZN \
  | 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: 0a1f39658248f82f50fc73c860f3e4cb5261108b12382bf3524931b584423efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8450f18e6618b766761493024db11376c5a02f37b2a4c2daa84edf83a9cad91b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-29T05:16:49Z",
    "title_canon_sha256": "f0e65ee9c9431d69d34218935969564ee023bf7f9668d0c6d202f1495a802b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6131",
    "kind": "arxiv",
    "version": 2
  }
}