Pith Number

pith:WKTVHQJO

pith:2021:WKTVHQJO5WO3WXGPPFO5TZU66Z

not attested not anchored not stored refs pending

A local pointwise inequality for a biharmonic equation with negative exponents

Fan Chen, Jianqing Chen, Qihua Ruan

arxiv:2111.13294 v3 · 2021-11-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKTVHQJO5WO3WXGPPFO5TZU66Z}

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	2026-07-05T03:55:50.696921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a753c12eed9dbb5ccf795dd9e69ef6453fd095115944d43be474b5aee41471

Aliases

arxiv: 2111.13294 · arxiv_version: 2111.13294v3 · doi: 10.48550/arxiv.2111.13294 · pith_short_12: WKTVHQJO5WO3 · pith_short_16: WKTVHQJO5WO3WXGP · pith_short_8: WKTVHQJO

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/WKTVHQJO5WO3WXGPPFO5TZU66Z \
  | 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: b2a753c12eed9dbb5ccf795dd9e69ef6453fd095115944d43be474b5aee41471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "631d59ec8e70ec8a57d6892d51a589dfa52b7c0340a0890f863d085c10233f00",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-26T02:19:26Z",
    "title_canon_sha256": "63522a62325571bae8f48fbc174e3b0332df55f30eb062467bf316db012c01b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.13294",
    "kind": "arxiv",
    "version": 3
  }
}