Pith Number

pith:X5CHQSXT

pith:2023:X5CHQSXTMFOXED67LVUNRP7ZNU

not attested not anchored not stored refs pending

Semi-classical spectral asymptotics of Toeplitz operators on CR manifolds

Chin-Yu Hsiao, George Marinescu, Hendrik Herrmann, Wei-Chuan Shen

arxiv:2303.17319 v2 · 2023-03-30 · math.CV · math.AP · 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{X5CHQSXTMFOXED67LVUNRP7ZNU}

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.

Cited by

1 paper in Pith

Bernstein-Markov measures and Toeplitz theory

Receipt and verification

First computed	2026-07-05T07:20:50.176949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf44784af3615d720fdf5d68d8bff96d08685f47453c43f1cf72bdc594a8ea2c

Aliases

arxiv: 2303.17319 · arxiv_version: 2303.17319v2 · doi: 10.48550/arxiv.2303.17319 · pith_short_12: X5CHQSXTMFOX · pith_short_16: X5CHQSXTMFOXED67 · pith_short_8: X5CHQSXT

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/X5CHQSXTMFOXED67LVUNRP7ZNU \
  | 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: bf44784af3615d720fdf5d68d8bff96d08685f47453c43f1cf72bdc594a8ea2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856fb1687cec8a9c3cff51aba4f9c874e582c30a42c6deb5e511a6dbf1711066",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2023-03-30T12:16:49Z",
    "title_canon_sha256": "a8a8746d991d0b1d4c29d8fa4c5fafa3d38392c43232be603b346d4e1f01b182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.17319",
    "kind": "arxiv",
    "version": 2
  }
}