Pith Number

pith:JUYH2AHX

pith:2019:JUYH2AHXHGQ5X5PN7MZSWPISYY

not attested not anchored not stored refs pending

Kobayashi non-hyperbolicity of Calabi-Yau manifolds via mirror symmetry

Cumrun Vafa, Ljudmila Kamenova

arxiv:1908.08573 v1 · 2019-08-22 · math.DG · 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{JUYH2AHXHGQ5X5PN7MZSWPISYY}

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	2026-07-05T01:32:41.539706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d307d00f739a1dbf5edfb332b3d12c623ea6052d1793240a45866c0a088187b

Aliases

arxiv: 1908.08573 · arxiv_version: 1908.08573v1 · doi: 10.48550/arxiv.1908.08573 · pith_short_12: JUYH2AHXHGQ5 · pith_short_16: JUYH2AHXHGQ5X5PN · pith_short_8: JUYH2AHX

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/JUYH2AHXHGQ5X5PN7MZSWPISYY \
  | 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: 4d307d00f739a1dbf5edfb332b3d12c623ea6052d1793240a45866c0a088187b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab32bdcd8e86d24bba4f58104ffb199320f265ae6740f506b7f9305ad93de2aa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-22T19:29:24Z",
    "title_canon_sha256": "c0411f182859d1ac11d26aaa71519306db3770c5424e6a3cb53b35528cb96f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08573",
    "kind": "arxiv",
    "version": 1
  }
}