Pith Number

pith:JMBYLUPZ

pith:2016:JMBYLUPZEB4LRPCHMW72GTXQ52

not attested not anchored not stored refs pending

Szeg\H{o} kernel asymptotic expansion on CR manifolds with $S^1$ action

Chin-Yu Hsiao, Hendrik Herrmann, Xiaoshan Li

arxiv:1610.04669 v2 · 2016-10-14 · 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{JMBYLUPZEB4LRPCHMW72GTXQ52}

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	2026-05-18T00:06:21.043447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0385d1f92078b8bc4765bfa34ef0ee89980d86d976b325886835028b463136

Aliases

arxiv: 1610.04669 · arxiv_version: 1610.04669v2 · doi: 10.48550/arxiv.1610.04669 · pith_short_12: JMBYLUPZEB4L · pith_short_16: JMBYLUPZEB4LRPCH · pith_short_8: JMBYLUPZ

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/JMBYLUPZEB4LRPCHMW72GTXQ52 \
  | 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: 4b0385d1f92078b8bc4765bfa34ef0ee89980d86d976b325886835028b463136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6e79ea4d39b62e845d1394c0d4f1f5839e15ef46a5f9e33304ea63d60ec27e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-10-14T23:55:23Z",
    "title_canon_sha256": "d8b8b15e6f1ca5166fd6e11dd22693a676ab9c2830fd51ae6a082051fa8e3bf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04669",
    "kind": "arxiv",
    "version": 2
  }
}