Pith Number

pith:KRNGJ6Q4

pith:2015:KRNGJ6Q4DBWMD5TDVC4JPTECP3

not attested not anchored not stored refs pending

Szeg\H{o} kernel expansion and equivariant embedding of CR manifolds with circle action

Chin-Yu Hsiao, Hendrik Herrmann, Xiaoshan Li

arxiv:1512.03952 v3 · 2015-12-12 · 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{KRNGJ6Q4DBWMD5TDVC4JPTECP3}

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	2026-05-18T00:13:38.268137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545a64fa1c186cc1f663a8b897cc827eef89724718fbf567a13637c6f0e92f0e

Aliases

arxiv: 1512.03952 · arxiv_version: 1512.03952v3 · doi: 10.48550/arxiv.1512.03952 · pith_short_12: KRNGJ6Q4DBWM · pith_short_16: KRNGJ6Q4DBWMD5TD · pith_short_8: KRNGJ6Q4

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/KRNGJ6Q4DBWMD5TDVC4JPTECP3 \
  | 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: 545a64fa1c186cc1f663a8b897cc827eef89724718fbf567a13637c6f0e92f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998f8f6ec0f35c2a58a36e74ae5a1b28b80caae997a96f5c4e203250eb0f07d9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-12-12T19:32:54Z",
    "title_canon_sha256": "9f02c2c5606f3cf4efd1f515580122734c6457e348f3d42935f63642dc2739ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03952",
    "kind": "arxiv",
    "version": 3
  }
}