Pith Number

pith:ZWHQ4PMQ

pith:2015:ZWHQ4PMQQ6V5UUTL4KSY7GYPQ4

not attested not anchored not stored refs pending

Local existence conditions for an equations involving the $p(x)$-Laplacian with critical exponent in $\mathbb{R}^N$

Analia Silva, Nicolas Saintier

arxiv:1511.04574 v1 · 2015-11-14 · 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{ZWHQ4PMQQ6V5UUTL4KSY7GYPQ4}

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	2026-05-18T01:26:52.305059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8f0e3d9087abda526be2a58f9b0f873c86fe0b7ab8a5e8c8cecf8e28f4c0bb

Aliases

arxiv: 1511.04574 · arxiv_version: 1511.04574v1 · doi: 10.48550/arxiv.1511.04574 · pith_short_12: ZWHQ4PMQQ6V5 · pith_short_16: ZWHQ4PMQQ6V5UUTL · pith_short_8: ZWHQ4PMQ

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/ZWHQ4PMQQ6V5UUTL4KSY7GYPQ4 \
  | 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: cd8f0e3d9087abda526be2a58f9b0f873c86fe0b7ab8a5e8c8cecf8e28f4c0bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c348712c8a61aeaa41940affe9774112c43d2a7ecaf215509c85643f0ec3d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-14T15:47:23Z",
    "title_canon_sha256": "8450dc04f3364c6217a2b72ea02db7d1642f2909834d4524c945875a39853140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04574",
    "kind": "arxiv",
    "version": 1
  }
}