Pith Number

pith:GJT4EXBU

pith:2011:GJT4EXBUUJKBAIEI6TSPUIGJZ7

not attested not anchored not stored refs pending

On some nonlinear extensions of the Gagliardo-Nirenberg inequality with applications to nonlinear eigenvalue problems

Agnieszka Ka{\l}amajska, Jan Peszek

arxiv:1104.1967 v1 · 2011-04-11 · 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{GJT4EXBUUJKBAIEI6TSPUIGJZ7}

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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	2026-05-18T04:24:36.807818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3267c25c34a254102088f4e4fa20c9cfe3a77a8b89fa676455ab868e98793d24

Aliases

arxiv: 1104.1967 · arxiv_version: 1104.1967v1 · doi: 10.48550/arxiv.1104.1967 · pith_short_12: GJT4EXBUUJKB · pith_short_16: GJT4EXBUUJKBAIEI · pith_short_8: GJT4EXBU

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/GJT4EXBUUJKBAIEI6TSPUIGJZ7 \
  | 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: 3267c25c34a254102088f4e4fa20c9cfe3a77a8b89fa676455ab868e98793d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2046988d226f0522b9d426eeae5424457f2502bcd1cd7c3e5ae16c4a7d6392b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-11T15:02:22Z",
    "title_canon_sha256": "624e4311e645727bf21ad2d258d346c00aa0fa3772d35cdd23e57ebeb3722a65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1967",
    "kind": "arxiv",
    "version": 1
  }
}