Pith Number

pith:G3HEGL44

pith:2000:G3HEGL44VYL7JH2UTL5F5CXHKV

not attested not anchored not stored refs pending

Invariance of plurigenera of varieties with nonngative Kodaira dimensions

Hajime Tsuji

arxiv:math/0011257 v1 · 2000-11-30 · 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{G3HEGL44VYL7JH2UTL5F5CXHKV}

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	2026-05-18T01:05:38.061065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36ce432f9cae17f49f549afa5e8ae755558364133fb30f28800b7736ee57277b

Aliases

arxiv: math/0011257 · arxiv_version: math/0011257v1 · doi: 10.48550/arxiv.math/0011257 · pith_short_12: G3HEGL44VYL7 · pith_short_16: G3HEGL44VYL7JH2U · pith_short_8: G3HEGL44

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/G3HEGL44VYL7JH2UTL5F5CXHKV \
  | 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: 36ce432f9cae17f49f549afa5e8ae755558364133fb30f28800b7736ee57277b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c515bf50688a98d7966f599dfc59b20ca2976e57ba038e8d6071112cb31502",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-11-30T06:08:42Z",
    "title_canon_sha256": "bd9b5ee87cdd4aa75b3b76663c6ee68bca2f05429700456b81b20650bd5805f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011257",
    "kind": "arxiv",
    "version": 1
  }
}