Pith Number

pith:BAU6TUXD

pith:2025:BAU6TUXDQUYIN37QODA37PDVNT

not attested not anchored not stored refs pending

The Critical LYZ Equation in K\"ahler Geometry

Dekai Zhang, Jixiang Fu, Shing-Tung Yau

arxiv:2511.21492 v4 · 2025-11-26 · math.DG · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAU6TUXDQUYIN37QODA37PDVNT}

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	2026-06-12T01:08:18.582154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0829e9d2e3853086eff070c1bfbc756cfa4005f55c95d1cea7188f9c0878536a

Aliases

arxiv: 2511.21492 · arxiv_version: 2511.21492v4 · doi: 10.48550/arxiv.2511.21492 · pith_short_12: BAU6TUXDQUYI · pith_short_16: BAU6TUXDQUYIN37Q · pith_short_8: BAU6TUXD

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/BAU6TUXDQUYIN37QODA37PDVNT \
  | 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: 0829e9d2e3853086eff070c1bfbc756cfa4005f55c95d1cea7188f9c0878536a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae480cd6f78a86066ea2f2cc9334245eaddb09219c3cf7f78dce251299905a2f",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-11-26T15:25:13Z",
    "title_canon_sha256": "508f36935ad3c9ee016b9727b55d3711334b5ec28d709baf1a96df3150b3a023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.21492",
    "kind": "arxiv",
    "version": 4
  }
}