Pith Number

pith:7HOPRCCQ

pith:2025:7HOPRCCQCMEMQ4RKKPQ5BGPJ43

not attested not anchored not stored refs pending

Spectral asymptotics of semi-classical Toeplitz operators on Levi non-degenerate CR manifolds

Wei-Chuan Shen

arxiv:2505.13014 v1 · 2025-05-19 · math.CV · math.AP · 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{7HOPRCCQCMEMQ4RKKPQ5BGPJ43}

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	2026-07-05T11:05:13.761222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9dcf888501308c8722a53e1d099e9e6d1b0efece766bd8d64abc7f521b2a73c

Aliases

arxiv: 2505.13014 · arxiv_version: 2505.13014v1 · doi: 10.48550/arxiv.2505.13014 · pith_short_12: 7HOPRCCQCMEM · pith_short_16: 7HOPRCCQCMEMQ4RK · pith_short_8: 7HOPRCCQ

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/7HOPRCCQCMEMQ4RKKPQ5BGPJ43 \
  | 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: f9dcf888501308c8722a53e1d099e9e6d1b0efece766bd8d64abc7f521b2a73c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74120b167b9621dd3c98758126b2de0f1aa1c9c7bf014b0571179a648b3a0d46",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-05-19T11:59:18Z",
    "title_canon_sha256": "92f27a14397301847dc9cddf87bfb9df0da9e789b29432932927ae85d6a104c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13014",
    "kind": "arxiv",
    "version": 1
  }
}