Pith Number

pith:YDIQM2DJ

pith:2026:YDIQM2DJKV4VXY3UW3SWVMQWNE

not attested not anchored not stored refs pending

Fundamental Gaps for the Dirichlet \(p\)-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy

Daniel Hauer, Rui Chen

arxiv:2608.13443 v1 · 2026-08-13 · 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{YDIQM2DJKV4VXY3UW3SWVMQWNE}

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	2026-08-14T01:04:27.203469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d106686955795be374b6e56ab2166917f0878d9851ec34c9d7cc7a172f2f96

Aliases

arxiv: 2608.13443 · arxiv_version: 2608.13443v1 · doi: 10.48550/arxiv.2608.13443 · pith_short_12: YDIQM2DJKV4V · pith_short_16: YDIQM2DJKV4VXY3U · pith_short_8: YDIQM2DJ

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/YDIQM2DJKV4VXY3UW3SWVMQWNE \
  | 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: c0d106686955795be374b6e56ab2166917f0878d9851ec34c9d7cc7a172f2f96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b328bee107e813623433ad4cb5608ad7c11988391018d4608829c8cdac62b84e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-13T16:29:36Z",
    "title_canon_sha256": "f62ac9a5fa475b7d2b29ad2d486066a051f4327ed5894cc49a969aad05067402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13443",
    "kind": "arxiv",
    "version": 1
  }
}