Pith Number

pith:GHWUKGUP

pith:2016:GHWUKGUPUX7R65CSHJZDN7RRNY

not attested not anchored not stored refs pending

Multiple solutions with constant sign of a Dirichlet problem for a class of elliptic systems with variable exponent growth

Chunshan Zhao, Jinghua Yao, Li Yin, Qihu Zhang

arxiv:1607.00584 v1 · 2016-07-03 · 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{GHWUKGUPUX7R65CSHJZDN7RRNY}

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	2026-05-18T01:11:34.683302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ed451a8fa5ff1f74523a7236fe316e178ba95a626b49767b390d172a9ee218

Aliases

arxiv: 1607.00584 · arxiv_version: 1607.00584v1 · doi: 10.48550/arxiv.1607.00584 · pith_short_12: GHWUKGUPUX7R · pith_short_16: GHWUKGUPUX7R65CS · pith_short_8: GHWUKGUP

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/GHWUKGUPUX7R65CSHJZDN7RRNY \
  | 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: 31ed451a8fa5ff1f74523a7236fe316e178ba95a626b49767b390d172a9ee218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26a3c51aecdf66b40f61562d5e2314ae8d0f31ba20ff864d11654615578910fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-03T02:55:16Z",
    "title_canon_sha256": "c4ffc8b907ee1fa79e6672c0fa93b2e7021426544cab8e17d4115b91a596bcaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00584",
    "kind": "arxiv",
    "version": 1
  }
}