Pith Number

pith:NSZGPPND

pith:2015:NSZGPPND6C7L2HXCNMOJE352GY

not attested not anchored not stored refs pending

Szeg\"o kernel asymptotics and Morse inequalities on CR manifolds with $S^1$ action

Chin-Yu Hsiao, Xiaoshan Li

arxiv:1502.02365 v3 · 2015-02-09 · math.CV · 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{NSZGPPND6C7L2HXCNMOJE352GY}

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	2026-05-18T00:06:44.178472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cb267bda3f0bebd1ee26b1c926fba361fb2738671ab8cbe3b5af8a09ce584f1

Aliases

arxiv: 1502.02365 · arxiv_version: 1502.02365v3 · doi: 10.48550/arxiv.1502.02365 · pith_short_12: NSZGPPND6C7L · pith_short_16: NSZGPPND6C7L2HXC · pith_short_8: NSZGPPND

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/NSZGPPND6C7L2HXCNMOJE352GY \
  | 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: 6cb267bda3f0bebd1ee26b1c926fba361fb2738671ab8cbe3b5af8a09ce584f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12fe30f69087c929d09445291249b7bcf4016f4b55e0413ccf2e3b8db791944c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-02-09T05:16:15Z",
    "title_canon_sha256": "b4983420b68ebefee11976627035a4098d0c31132297263e16dcdfc73090fbc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02365",
    "kind": "arxiv",
    "version": 3
  }
}