Pith Number

pith:CQRQUWKU

pith:2012:CQRQUWKUAVJHSKCZFR2MUIRHQU

not attested not anchored not stored refs pending

Rationally connected manifolds and semipositivity of the Ricci curvature

Fr\'ed\'eric Campana (IECN), Jean-Pierre Demailly (IF), Thomas Peternell

arxiv:1210.2092 v3 · 2012-10-07 · 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{CQRQUWKUAVJHSKCZFR2MUIRHQU}

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	2026-05-18T00:24:32.250477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14230a595405527928592c74ca22278539ffa70eb87ab45dccf4c8deec1843f0

Aliases

arxiv: 1210.2092 · arxiv_version: 1210.2092v3 · doi: 10.48550/arxiv.1210.2092 · pith_short_12: CQRQUWKUAVJH · pith_short_16: CQRQUWKUAVJHSKCZ · pith_short_8: CQRQUWKU

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/CQRQUWKUAVJHSKCZFR2MUIRHQU \
  | 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: 14230a595405527928592c74ca22278539ffa70eb87ab45dccf4c8deec1843f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b7caf7ddfc9cd11b6404ab6b165668d6c300506a7a26090b199f5537ecc1634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-07T18:34:11Z",
    "title_canon_sha256": "8cfe482fd39ed42f7f1abe09ab6f32360dc01252e30d29532adebd6faa82ffbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2092",
    "kind": "arxiv",
    "version": 3
  }
}