Pith Number

pith:W7K7X3DQ

pith:2010:W7K7X3DQB3EO3SFJRWTPP2JP4J

not attested not anchored not stored refs pending

Moduli of varieties of general type

J\'anos Koll\'ar

arxiv:1008.0621 v1 · 2010-08-03 · 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{W7K7X3DQB3EO3SFJRWTPP2JP4J}

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.

Cited by

1 paper in Pith

Geometric Shafarevich boundedness conjecture for families of polarized varieties

Receipt and verification

First computed	2026-05-18T04:41:43.692609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d5fbec700ec8edc8a98da6f7e92fe26ceaeeddcdcb0d57994f7dd8f1dba159

Aliases

arxiv: 1008.0621 · arxiv_version: 1008.0621v1 · doi: 10.48550/arxiv.1008.0621 · pith_short_12: W7K7X3DQB3EO · pith_short_16: W7K7X3DQB3EO3SFJ · pith_short_8: W7K7X3DQ

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/W7K7X3DQB3EO3SFJRWTPP2JP4J \
  | 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: b7d5fbec700ec8edc8a98da6f7e92fe26ceaeeddcdcb0d57994f7dd8f1dba159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a19d94ef03363284c6fc26a90969ed564233b02ca8223e82857e28837559cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-03T19:11:21Z",
    "title_canon_sha256": "9441c413e3b7dcc63bf9ee0cc8533268a97303a28ebca0b8fd0911cdd129dc14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0621",
    "kind": "arxiv",
    "version": 1
  }
}