Pith Number

pith:D7LEFKGA

pith:2013:D7LEFKGAPWUL7CVTKIO2TDI6OK

not attested not anchored not stored refs pending

On the Spectrum of weighted Laplacian operator and its application to uniqueness of K\"ahler Einstein metrics

Long Li

arxiv:1311.0038 v2 · 2013-10-31 · 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{D7LEFKGAPWUL7CVTKIO2TDI6OK}

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	2026-05-18T03:07:42.026202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd642a8c07da8bf8ab3521da98d1e7299f71c6edd30340b671a5fac9500e801

Aliases

arxiv: 1311.0038 · arxiv_version: 1311.0038v2 · doi: 10.48550/arxiv.1311.0038 · pith_short_12: D7LEFKGAPWUL · pith_short_16: D7LEFKGAPWUL7CVT · pith_short_8: D7LEFKGA

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/D7LEFKGAPWUL7CVTKIO2TDI6OK \
  | 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: 1fd642a8c07da8bf8ab3521da98d1e7299f71c6edd30340b671a5fac9500e801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b88330ba2b87032cd6009989d7237c7b7450514a53e3a4f17ccaaf959f6d057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-31T21:15:14Z",
    "title_canon_sha256": "f85172d135086b09a7abd213eaab030e71e70d38ec3cf3a43f1508b5a717dd33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0038",
    "kind": "arxiv",
    "version": 2
  }
}