Pith Number

pith:SDD47WG4

pith:2019:SDD47WG4JBLS46LXXB7VOZIR7H

not attested not anchored not stored refs pending

Hyperbolicity of bases of log Calabi-Yau families

Ya Deng

arxiv:1901.04423 v2 · 2019-01-14 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDD47WG4JBLS46LXXB7VOZIR7H}

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

Variation of singular K\"ahler-Einstein metrics: Kodaira dimension zero

Receipt and verification

First computed	2026-05-17T23:55:33.795456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90c7cfd8dc48572e7977b87f576511f9c238ae115884fde158b813fb45a888b7

Aliases

arxiv: 1901.04423 · arxiv_version: 1901.04423v2 · doi: 10.48550/arxiv.1901.04423 · pith_short_12: SDD47WG4JBLS · pith_short_16: SDD47WG4JBLS46LX · pith_short_8: SDD47WG4

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/SDD47WG4JBLS46LXXB7VOZIR7H \
  | 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: 90c7cfd8dc48572e7977b87f576511f9c238ae115884fde158b813fb45a888b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe61297d2c7d30a1083e0fb43325dc41508d4545d0a68484381dd5fdf8037dc",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-14T17:48:38Z",
    "title_canon_sha256": "5dc1d355e1522522eb682b5832585aa2a9f95ab2330f6f5bc8cf978fc05b792b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04423",
    "kind": "arxiv",
    "version": 2
  }
}