Pith Number

pith:JIAB6VEF

pith:2011:JIAB6VEFJGCFNFXC7QWV2J2DYZ

not attested not anchored not stored refs pending

Inequalities for the Hodge numbers of irregular compact Kaehler manifolds

Luigi Lombardi

arxiv:1103.1704 v1 · 2011-03-09 · 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{JIAB6VEFJGCFNFXC7QWV2J2DYZ}

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	2026-05-18T03:58:36.941185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a001f548549845696e2fc2d5d2743c65430ae7db919bfefbb7f4a6ee51be114

Aliases

arxiv: 1103.1704 · arxiv_version: 1103.1704v1 · doi: 10.48550/arxiv.1103.1704 · pith_short_12: JIAB6VEFJGCF · pith_short_16: JIAB6VEFJGCFNFXC · pith_short_8: JIAB6VEF

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/JIAB6VEFJGCFNFXC7QWV2J2DYZ \
  | 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: 4a001f548549845696e2fc2d5d2743c65430ae7db919bfefbb7f4a6ee51be114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f167dc1c58e6d278d70e614bbb3fdcaed582755d2c08bad15a8778dbf5c19ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-09T05:26:42Z",
    "title_canon_sha256": "e72a84c75020da44003407feb83e9c31f33d814c1c6816a3dd472b36e620d0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1704",
    "kind": "arxiv",
    "version": 1
  }
}