Pith Number

pith:KEMQOHPB

pith:2010:KEMQOHPBJMSSEF6NPT7JCXZNPI

not attested not anchored not stored refs pending

Kodaira dimension of irregular varieties

Christopher D. Hacon, Jungkai Alfred Chen

arxiv:1008.2404 v1 · 2010-08-14 · 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{KEMQOHPBJMSSEF6NPT7JCXZNPI}

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	2026-05-18T02:05:48.411187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5119071de14b252217cd7cfe915f2d7a3cee7072eb7d331bef04242e7a7b2d04

Aliases

arxiv: 1008.2404 · arxiv_version: 1008.2404v1 · doi: 10.48550/arxiv.1008.2404 · pith_short_12: KEMQOHPBJMSS · pith_short_16: KEMQOHPBJMSSEF6N · pith_short_8: KEMQOHPB

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/KEMQOHPBJMSSEF6NPT7JCXZNPI \
  | 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: 5119071de14b252217cd7cfe915f2d7a3cee7072eb7d331bef04242e7a7b2d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be0a5db419935c6c857a2200c578fd02d4dbc99b34b512a5b0db305decbb211",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-14T01:02:04Z",
    "title_canon_sha256": "2feaa6322dcbcd85b7bb86019d24ce63d63a5c889d148de5c0f9fcd8d5d64d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2404",
    "kind": "arxiv",
    "version": 1
  }
}