Pith Number

pith:6TOCGNC2

pith:2011:6TOCGNC2ZSKWXOFUR63WJWC72O

not attested not anchored not stored refs pending

Some birationality criteria on 3-folds with $p_g>1$

Meng Chen

arxiv:1111.6513 v3 · 2011-11-28 · 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{6TOCGNC2ZSKWXOFUR63WJWC72O}

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	2026-05-18T02:47:05.966561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4dc23345acc956bb8b48fb764d85fd394b13e8c62c70688047cb897e44d0243

Aliases

arxiv: 1111.6513 · arxiv_version: 1111.6513v3 · doi: 10.48550/arxiv.1111.6513 · pith_short_12: 6TOCGNC2ZSKW · pith_short_16: 6TOCGNC2ZSKWXOFU · pith_short_8: 6TOCGNC2

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/6TOCGNC2ZSKWXOFUR63WJWC72O \
  | 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: f4dc23345acc956bb8b48fb764d85fd394b13e8c62c70688047cb897e44d0243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dcd1d4b358f515e45b60d2a0ac47ad82d6f39b9941a7884cc999bfdcfdd2fc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-28T16:52:20Z",
    "title_canon_sha256": "d2db396625f1a4b539df8bf59db8a5ada56d83b1c4d6dc05cebc1cb4e8217e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6513",
    "kind": "arxiv",
    "version": 3
  }
}