Pith Number

pith:E7DZOI4Z

pith:2017:E7DZOI4ZVGLPL2D4S4DHPBW5CA

not attested not anchored not stored refs pending

$L^p-L^q$ boundedness of Bergman-type operators over the Siegel upper half-space

Congwen Liu, Jiajia Si, Pengyan Hu

arxiv:1711.00301 v1 · 2017-11-01 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7DZOI4ZVGLPL2D4S4DHPBW5CA}

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	2026-05-18T00:31:34.486849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27c7972399a996f5e87c97067786dd10063258769f2ad33a1080de8e2a97f451

Aliases

arxiv: 1711.00301 · arxiv_version: 1711.00301v1 · doi: 10.48550/arxiv.1711.00301 · pith_short_12: E7DZOI4ZVGLP · pith_short_16: E7DZOI4ZVGLPL2D4 · pith_short_8: E7DZOI4Z

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/E7DZOI4ZVGLPL2D4S4DHPBW5CA \
  | 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: 27c7972399a996f5e87c97067786dd10063258769f2ad33a1080de8e2a97f451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ddad05ccb02625e3de9c8f722c4ac284c309f792d9f76d4fdab06418b1eacfa",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-11-01T12:01:24Z",
    "title_canon_sha256": "481206427559eaa9f6bf9a166741e693b95d3a2e3f8541ca6d6ba1149e4292ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00301",
    "kind": "arxiv",
    "version": 1
  }
}