Pith Number

pith:PLCJ5NHY

pith:2019:PLCJ5NHYIAUHCLW22PS6VVWF5S

not attested not anchored not stored refs pending

Boundary Schwarz lemma for solutions to non-homogeneous biharmonic equations

Jian-Feng Zhu, Manas Ranjan Mohapatra, Xiantao Wang

arxiv:1906.08151 v1 · 2019-06-19 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLCJ5NHYIAUHCLW22PS6VVWF5S}

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	2026-05-17T23:42:54.484027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac49eb4f84028712edad3e5ead6c5eca4542d0f2bffe6310b25f7a8047a7a20

Aliases

arxiv: 1906.08151 · arxiv_version: 1906.08151v1 · doi: 10.48550/arxiv.1906.08151 · pith_short_12: PLCJ5NHYIAUH · pith_short_16: PLCJ5NHYIAUHCLW2 · pith_short_8: PLCJ5NHY

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/PLCJ5NHYIAUHCLW22PS6VVWF5S \
  | 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: 7ac49eb4f84028712edad3e5ead6c5eca4542d0f2bffe6310b25f7a8047a7a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa49ba1489cd3e5935f1812d968f038af300573c77a6a87e020efb6e17ac460",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-06-19T15:24:56Z",
    "title_canon_sha256": "39b0ef83dae7666fe118ee5146ad6fcb37c8fdf2b25472196f2343a837a86917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08151",
    "kind": "arxiv",
    "version": 1
  }
}