pith. sign in
Pith Number

pith:IO6MLEK3

pith:2013:IO6MLEK3L2FKH7LU55XGTBPM3R
not attested not anchored not stored refs pending

Strauss- and Lions-type results for a class of Orlicz-Sobolev spaces and applications

Claudianor O. Alves, Giovany M. Figueiredo, Jefferson A. Santos

arxiv:1304.3736 v2 · 2013-04-12 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IO6MLEK3L2FKH7LU55XGTBPM3R}

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 2026-05-18T03:01:10.732284Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

43bcc5915b5e8aa3fd74ef6e6985ecdc4cee076e1a46b6ef95a1388e27ba045a

Aliases

arxiv: 1304.3736 · arxiv_version: 1304.3736v2 · doi: 10.48550/arxiv.1304.3736 · pith_short_12: IO6MLEK3L2FK · pith_short_16: IO6MLEK3L2FKH7LU · pith_short_8: IO6MLEK3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IO6MLEK3L2FKH7LU55XGTBPM3R \
  | 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: 43bcc5915b5e8aa3fd74ef6e6985ecdc4cee076e1a46b6ef95a1388e27ba045a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2547d74942f33ec228d0f69cccdaa3c2c8a7e93b5a4d0e451c5ebd2d70ca1cc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-12T21:11:05Z",
    "title_canon_sha256": "f2c353e6e28697c3fb126d7daa8c78eaa616bce5de01410217c5a53d771b0dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3736",
    "kind": "arxiv",
    "version": 2
  }
}