Pith Number

pith:PV5QVSKZ

pith:2015:PV5QVSKZZERZCGUJ556AZK5J2X

not attested not anchored not stored refs pending

Szeg\H{o} kernel asymptotics and Kodaira embedding theorems of Levi-flat CR manifolds

Chin-Yu Hsiao, George Marinescu

arxiv:1502.01642 v2 · 2015-02-05 · math.CV · math.AP · 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{PV5QVSKZZERZCGUJ556AZK5J2X}

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	2026-05-18T00:19:43.042491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7b0ac959c923911a89ef7c0caba9d5d6c00f32911480fdc39c4f471727d639

Aliases

arxiv: 1502.01642 · arxiv_version: 1502.01642v2 · doi: 10.48550/arxiv.1502.01642 · pith_short_12: PV5QVSKZZERZ · pith_short_16: PV5QVSKZZERZCGUJ · pith_short_8: PV5QVSKZ

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/PV5QVSKZZERZCGUJ556AZK5J2X \
  | 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: 7d7b0ac959c923911a89ef7c0caba9d5d6c00f32911480fdc39c4f471727d639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "695960992b7df1977c11637fdc94afd800d2bb7ab1f826ba4196190c2bb8d5de",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-02-05T17:04:30Z",
    "title_canon_sha256": "09be8a145c36fb1391c66efedd7f9ae4d3949a0a32d2415374835c0f99a7ae07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01642",
    "kind": "arxiv",
    "version": 2
  }
}