Pith Number

pith:G2GAV4KN

pith:2025:G2GAV4KNPVF4MQXDDYMNUKTPBM

not attested not anchored not stored refs pending

Symplectic solvmanifolds not satisfying the hard-Lefschetz condition

Adri\'an Andrada, Agust\'in Garrone

arxiv:2505.08113 v1 · 2025-05-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2GAV4KNPVF4MQXDDYMNUKTPBM}

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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

Symplectic non-K\"ahler manifolds with and without the Hard Lefschetz Condition

On centerless unimodular contact Lie algebras

Receipt and verification

First computed	2026-07-05T11:02:02.886237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

368c0af14d7d4bc642e31e18da2a6f0b1d762998c7a48abb07e01002109c5823

Aliases

arxiv: 2505.08113 · arxiv_version: 2505.08113v1 · doi: 10.48550/arxiv.2505.08113 · pith_short_12: G2GAV4KNPVF4 · pith_short_16: G2GAV4KNPVF4MQXD · pith_short_8: G2GAV4KN

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/G2GAV4KNPVF4MQXDDYMNUKTPBM \
  | 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: 368c0af14d7d4bc642e31e18da2a6f0b1d762998c7a48abb07e01002109c5823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c20a11451e3b36d56afb552626a1a8f9a1e5a9976b9f552fb10171ea65e46d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-12T22:56:05Z",
    "title_canon_sha256": "3d9c8cd1fd9c5839f98582cb512c861ff2d3e0371a13dbced5674befa0d9ccae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.08113",
    "kind": "arxiv",
    "version": 1
  }
}