Pith Number

pith:JOW2QIHO

pith:2019:JOW2QIHOO6LEZZFEJIVK4RP5HY

not attested not anchored not stored refs pending

Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces

Guozhen Lu, Qiaohua Yang

arxiv:1903.10365 v1 · 2019-03-25 · math.CA · math.AP · 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{JOW2QIHOO6LEZZFEJIVK4RP5HY}

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	2026-05-17T23:50:29.703052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bada820ee77964ce4a44a2aae45fd3e061715f2e5ac11f83857ecc59c5a666e

Aliases

arxiv: 1903.10365 · arxiv_version: 1903.10365v1 · doi: 10.48550/arxiv.1903.10365 · pith_short_12: JOW2QIHOO6LE · pith_short_16: JOW2QIHOO6LEZZFE · pith_short_8: JOW2QIHO

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/JOW2QIHOO6LEZZFEJIVK4RP5HY \
  | 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: 4bada820ee77964ce4a44a2aae45fd3e061715f2e5ac11f83857ecc59c5a666e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c60994f63a56882b1ed1b90bd43c68041526c02e4c1945d2977ed083b1fd1f25",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-25T14:31:56Z",
    "title_canon_sha256": "4aefb7ab0e81276ef1638f2f25b4b4d68d877fec33a0befc6fddd13498c1bc79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10365",
    "kind": "arxiv",
    "version": 1
  }
}