Pith Number

pith:QQ7AYPN7

pith:2017:QQ7AYPN7GQQBEM5ZBA2Z5YNSKZ

not attested not anchored not stored refs pending

A pointwise inequality for a biharmonic equation with negative exponent and related problems

Qu\^oc Anh Ng\^o, Quoc Hung Phan, Van Hoang Nguyen

arxiv:1705.02726 v2 · 2017-05-08 · 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{QQ7AYPN7GQQBEM5ZBA2Z5YNSKZ}

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	2026-05-18T00:01:10.515832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843e0c3dbf34201233b908359ee1b25663420d22db0db75b35881551e6eacb5b

Aliases

arxiv: 1705.02726 · arxiv_version: 1705.02726v2 · doi: 10.48550/arxiv.1705.02726 · pith_short_12: QQ7AYPN7GQQB · pith_short_16: QQ7AYPN7GQQBEM5Z · pith_short_8: QQ7AYPN7

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/QQ7AYPN7GQQBEM5ZBA2Z5YNSKZ \
  | 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: 843e0c3dbf34201233b908359ee1b25663420d22db0db75b35881551e6eacb5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3422fc67500983f6e7301c46877d83ff5a4305eec843a30a65e5ad38c2059c4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-08T02:46:05Z",
    "title_canon_sha256": "6a60de55b93865ece7d31645dcc4acb9e498edaaa81710627c1277ab8a8d8852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02726",
    "kind": "arxiv",
    "version": 2
  }
}