Pith. sign in
Pith Number

pith:SVNACEOU

pith:2018:SVNACEOUTLLAEED6EROW4J56L3
not attested not anchored not stored refs pending

On the hyperbolicity of base spaces for maximally variational families of smooth projective varieties

with an appendix by Dan Abramovich, Ya Deng

arxiv:1806.01666 v6 · 2018-06-05 · math.AG · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SVNACEOUTLLAEED6EROW4J56L3}

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

Receipt and verification
First computed 2026-07-05T00:59:20.409569Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

955a0111d49ad602107e245d6e27be5eff190c1e6bf154b26b60abd5a8f4223d

Aliases

arxiv: 1806.01666 · arxiv_version: 1806.01666v6 · doi: 10.48550/arxiv.1806.01666 · pith_short_12: SVNACEOUTLLA · pith_short_16: SVNACEOUTLLAEED6 · pith_short_8: SVNACEOU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SVNACEOUTLLAEED6EROW4J56L3 \
  | 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: 955a0111d49ad602107e245d6e27be5eff190c1e6bf154b26b60abd5a8f4223d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "78417aa4e2a45c9b3488db37fd6b742fa3ba3f80114a0161fdcb5e335e3f507c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-05T13:01:33Z",
    "title_canon_sha256": "b0b6fc6430924e9ae172e434ec5ecc97a4347938c202547079340363b2687dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01666",
    "kind": "arxiv",
    "version": 6
  }
}