Pith Number

pith:Z5NSTAEK

pith:2025:Z5NSTAEKZ7XRI3REUZ6ZG5FLHL

not attested not anchored not stored refs pending

Hodge decomposition and Hard Lefschetz Condition on almost K\"{a}hler manifolds

Teng Huang, Weiwei Wang

arxiv:2506.06402 v1 · 2025-06-06 · 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{Z5NSTAEKZ7XRI3REUZ6ZG5FLHL}

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	2026-07-05T11:17:49.703733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5b29808acfef146e24a67d9374ab3ac9d5e604fca95c26ad4fd0c53271398a

Aliases

arxiv: 2506.06402 · arxiv_version: 2506.06402v1 · doi: 10.48550/arxiv.2506.06402 · pith_short_12: Z5NSTAEKZ7XR · pith_short_16: Z5NSTAEKZ7XRI3RE · pith_short_8: Z5NSTAEK

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/Z5NSTAEKZ7XRI3REUZ6ZG5FLHL \
  | 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: cf5b29808acfef146e24a67d9374ab3ac9d5e604fca95c26ad4fd0c53271398a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "913b9a1416767ad9ff80f648bc0becab1c32c39b1f6abe0ac5f06a2001c7cac6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-06T05:17:14Z",
    "title_canon_sha256": "3363f7b12c31d97a590b89e90df9dbc34a9838d459b1eab1a0c1878120aae83c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06402",
    "kind": "arxiv",
    "version": 1
  }
}