Pith Number

pith:T5BKAJTX

pith:2010:T5BKAJTX4V6COB64VQ6445VBA3

not attested not anchored not stored refs pending

Szeg\"o kernel asymptotics and Morse inequalities on CR manifolds

Chin-Yu Hsiao, George Marinescu

arxiv:1005.5471 v2 · 2010-05-29 · math.CV · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5BKAJTX4V6COB64VQ6445VBA3}

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	2026-05-18T03:55:22.070777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f42a02677e57c2707dcac3dce76a106c84db02bf211224e1ab5a5164a52e420

Aliases

arxiv: 1005.5471 · arxiv_version: 1005.5471v2 · doi: 10.48550/arxiv.1005.5471 · pith_short_12: T5BKAJTX4V6C · pith_short_16: T5BKAJTX4V6COB64 · pith_short_8: T5BKAJTX

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/T5BKAJTX4V6COB64VQ6445VBA3 \
  | 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: 9f42a02677e57c2707dcac3dce76a106c84db02bf211224e1ab5a5164a52e420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4c30d63e2998b24be9aa51e57cd7138357569617bca421ff9c2a5270d6759d",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-05-29T18:10:48Z",
    "title_canon_sha256": "6da2135792a92eed9110bbd86e180c6d71de4d7e8ed3571610f6f1525afdaf6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5471",
    "kind": "arxiv",
    "version": 2
  }
}