Pith Number

pith:SKLZV2KL

pith:2026:SKLZV2KLFJCZG7F3IMXU6CDNXS

not attested not anchored not stored refs pending

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

Adriano Tomassini, Richard Hind

arxiv:2606.23996 v1 · 2026-06-22 · math.SG · 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{SKLZV2KLFJCZG7F3IMXU6CDNXS}

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	2026-06-24T00:14:32.586305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92979ae94b2a45937cbb432f4f086dbc9fb5aa74339bbdf0e5e3dcc95f433862

Aliases

arxiv: 2606.23996 · arxiv_version: 2606.23996v1 · doi: 10.48550/arxiv.2606.23996 · pith_short_12: SKLZV2KLFJCZ · pith_short_16: SKLZV2KLFJCZG7F3 · pith_short_8: SKLZV2KL

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/SKLZV2KLFJCZG7F3IMXU6CDNXS \
  | 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: 92979ae94b2a45937cbb432f4f086dbc9fb5aa74339bbdf0e5e3dcc95f433862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742391599f158c59c34845134ddd61ce9878c4fb12409bc2d25121afc433bf1c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-06-22T23:07:06Z",
    "title_canon_sha256": "a2da85f13233fdaf958996bef2e3943ed6efb388498e112a6d6e988dc6259999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23996",
    "kind": "arxiv",
    "version": 1
  }
}