Pith Number

pith:K7HSA5GZ

pith:2016:K7HSA5GZJCO732IFSN67INI5MS

not attested not anchored not stored refs pending

Existence and Multiplicity of Nontrivial Weak Solutions for Kirchhoff-type Fractional $p$-Laplacian Equation

Hua Jin, Taiyong Chen, Wenbin Liu

arxiv:1607.01583 v1 · 2016-07-06 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7HSA5GZJCO732IFSN67INI5MS}

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	2026-05-18T01:11:26.053470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57cf2074d9489dfde905937df4351d64845356a3e1a400dee3db8de242fa8135

Aliases

arxiv: 1607.01583 · arxiv_version: 1607.01583v1 · doi: 10.48550/arxiv.1607.01583 · pith_short_12: K7HSA5GZJCO7 · pith_short_16: K7HSA5GZJCO732IF · pith_short_8: K7HSA5GZ

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/K7HSA5GZJCO732IFSN67INI5MS \
  | 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: 57cf2074d9489dfde905937df4351d64845356a3e1a400dee3db8de242fa8135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5acb0d90f5d210666f6470b4795baabc363a4dbc858d9d267de0b0ef0870601e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-06T12:11:27Z",
    "title_canon_sha256": "84cf514f0ae2197084f7298c4967989e5877d37464a0582674b30d482ec1ba91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01583",
    "kind": "arxiv",
    "version": 1
  }
}