Pith Number

pith:XYNZT3SK

pith:2015:XYNZT3SKV5CDVYVXHLNSWUGLYW

not attested not anchored not stored refs pending

Hard Lefschetz Theorem for Vaisman manifolds

Antonio De Nicola, Beniamino Cappelletti-Montano, Ivan Yudin, Juan Carlos Marrero

arxiv:1510.04946 v3 · 2015-10-16 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYNZT3SKV5CDVYVXHLNSWUGLYW}

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	2026-05-18T00:00:22.891148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1b99ee4aaf443ae2b73adb2b50cbc592c4521543e1db9ab4e34fe2ad3313a9

Aliases

arxiv: 1510.04946 · arxiv_version: 1510.04946v3 · doi: 10.48550/arxiv.1510.04946 · pith_short_12: XYNZT3SKV5CD · pith_short_16: XYNZT3SKV5CDVYVX · pith_short_8: XYNZT3SK

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/XYNZT3SKV5CDVYVXHLNSWUGLYW \
  | 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: be1b99ee4aaf443ae2b73adb2b50cbc592c4521543e1db9ab4e34fe2ad3313a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7ec70634bdadd65ac24605c5cfe02a0af4d7c0611ec0bd896760891a2b2cf96",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-16T16:58:46Z",
    "title_canon_sha256": "447196d9f01313e0c97d47b5add01ae3916f9d0149f2a53f6fbf01fbb865851f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04946",
    "kind": "arxiv",
    "version": 3
  }
}