Pith Number

pith:S6UXY7X5

pith:2015:S6UXY7X5ZYY7C6ZYAXB3HRV6HW

not attested not anchored not stored refs pending

Projectivity of the moduli space of stable log-varieties and subadditvity of log-Kodaira dimension

S\'andor J Kov\'acs, Zsolt Patakfalvi

arxiv:1503.02952 v1 · 2015-03-10 · 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{S6UXY7X5ZYY7C6ZYAXB3HRV6HW}

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

2 papers in Pith

The virtual fundamental class for the moduli space of surfaces of general type

Enumerative Geometry on KSBA moduli spaces

Receipt and verification

First computed	2026-05-18T02:25:12.663635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97a97c7efdce31f17b3805c3b3c6be3da5eda09c9ef20c1f5fc53b2221a885e6

Aliases

arxiv: 1503.02952 · arxiv_version: 1503.02952v1 · doi: 10.48550/arxiv.1503.02952 · pith_short_12: S6UXY7X5ZYY7 · pith_short_16: S6UXY7X5ZYY7C6ZY · pith_short_8: S6UXY7X5

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/S6UXY7X5ZYY7C6ZYAXB3HRV6HW \
  | 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: 97a97c7efdce31f17b3805c3b3c6be3da5eda09c9ef20c1f5fc53b2221a885e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097f7435564c17154b1c3d8439ac7cbbc735a6d39c9a1529642349cb883d4d78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-10T15:33:08Z",
    "title_canon_sha256": "f6901a825140f74d8eb35784d06c1f7827b1beae4196dcfd8eddd1095bce4172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02952",
    "kind": "arxiv",
    "version": 1
  }
}