Pith Number

pith:I6UN5TI5

pith:2018:I6UN5TI54VQ32AX53JSGXRU4EP

not attested not anchored not stored refs pending

Existence results for Schr\"odinger $p(x)$-Laplace equations involving critical growth in $\mathbb{R}^N$

Inbo Sim, Ky Ho, Yun-Ho Kim

arxiv:1807.03961 v1 · 2018-07-11 · 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{I6UN5TI54VQ32AX53JSGXRU4EP}

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	2026-05-18T00:10:58.486550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47a8decd1de561bd02fdda646bc69c23c5f8a056038e22244028027115d0d7b6

Aliases

arxiv: 1807.03961 · arxiv_version: 1807.03961v1 · doi: 10.48550/arxiv.1807.03961 · pith_short_12: I6UN5TI54VQ3 · pith_short_16: I6UN5TI54VQ32AX5 · pith_short_8: I6UN5TI5

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/I6UN5TI54VQ32AX53JSGXRU4EP \
  | 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: 47a8decd1de561bd02fdda646bc69c23c5f8a056038e22244028027115d0d7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2277ab728ac5559485556c640ad3e360c6c5b90c05afa68c6a126eae979f2a8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-11T06:26:33Z",
    "title_canon_sha256": "ea183656da47141df371d583172ee6b7c3d5b3e068d90e68d74785e231e5db7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03961",
    "kind": "arxiv",
    "version": 1
  }
}