Pith Number

pith:X4WRA5T6

pith:2026:X4WRA5T6MQ7HODQUR4P6LNJMQM

not attested not anchored not stored refs pending

Kohler-Jobin inequality for $p$-Laplace operator in the Gauss space

Anna Mercaldo, Francesco Chiacchio, Jing Wang, Vincenzo Ferone

arxiv:2603.28188 v2 · 2026-03-30 · 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{X4WRA5T6MQ7HODQUR4P6LNJMQM}

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	2026-06-08T01:04:02.654632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2d10767e643e770e148f1fe5b52c8306c96fddd823cd05ebb9a83a74232fa5

Aliases

arxiv: 2603.28188 · arxiv_version: 2603.28188v2 · doi: 10.48550/arxiv.2603.28188 · pith_short_12: X4WRA5T6MQ7H · pith_short_16: X4WRA5T6MQ7HODQU · pith_short_8: X4WRA5T6

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/X4WRA5T6MQ7HODQUR4P6LNJMQM \
  | 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: bf2d10767e643e770e148f1fe5b52c8306c96fddd823cd05ebb9a83a74232fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed12d8d1fee100bbdbc5eed7dc7fff3967864783f2e96891a00cb38fd6d5295a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-03-30T08:54:52Z",
    "title_canon_sha256": "806155ff72c7a24e4c7fc2063dcaef1c9673ca85d4fb3fc818291211566d4bf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.28188",
    "kind": "arxiv",
    "version": 2
  }
}