Pith Number

pith:CQOG663O

pith:2022:CQOG663OBPPPZ64KY7Z2AI6QZW

not attested not anchored not stored refs pending

The existence and multiplicity of solutions for general quasi-linear elliptic equations with sub-cubic nonlinearity

Chen Huang, Jianjun Zhang, Xuexiu Zhong

arxiv:2209.04883 v1 · 2022-09-11 · 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{CQOG663OBPPPZ64KY7Z2AI6QZW}

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	2026-07-05T04:56:24.142574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141c6f7b6e0bdefcfb8ac7f3a023d0cda11d3b94ff56ac2ec28f12f2d21958b1

Aliases

arxiv: 2209.04883 · arxiv_version: 2209.04883v1 · doi: 10.48550/arxiv.2209.04883 · pith_short_12: CQOG663OBPPP · pith_short_16: CQOG663OBPPPZ64K · pith_short_8: CQOG663O

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/CQOG663OBPPPZ64KY7Z2AI6QZW \
  | 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: 141c6f7b6e0bdefcfb8ac7f3a023d0cda11d3b94ff56ac2ec28f12f2d21958b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b275f8798644d6bfb6f314e31cf571869ba4d47795cb5a0cfbd9809ad53336",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-09-11T14:45:41Z",
    "title_canon_sha256": "35e16f6ee4930346e8542679a23aae59995029c82a5dcc034ea53df52122bd32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.04883",
    "kind": "arxiv",
    "version": 1
  }
}