Pith Number

pith:TKOQIXEF

pith:2025:TKOQIXEF2SEH65KLP5ZLWE2XR5

not attested not anchored not stored refs pending

Two alternative proofs of weak Harnack inequality for mixed local and nonlocal $p$-Laplace equations with a nonhomogeneity

Prashanta Garain

arxiv:2510.04065 v2 · 2025-10-05 · math.AP

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\usepackage{pith}
\pithnumber{TKOQIXEF2SEH65KLP5ZLWE2XR5}

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Record completeness

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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.

Cited by

1 paper in Pith

Harnack inequality for mixed local-nonlocal weighted homogeneous equations

Receipt and verification

First computed	2026-06-05T01:14:29.781447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9d045c85d4887f754b7f72bb13578f57fa97fe160657280d8afca6ef2cc4cc

Aliases

arxiv: 2510.04065 · arxiv_version: 2510.04065v2 · doi: 10.48550/arxiv.2510.04065 · pith_short_12: TKOQIXEF2SEH · pith_short_16: TKOQIXEF2SEH65KL · pith_short_8: TKOQIXEF

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/TKOQIXEF2SEH65KLP5ZLWE2XR5 \
  | 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: 9a9d045c85d4887f754b7f72bb13578f57fa97fe160657280d8afca6ef2cc4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d53fe1dcb83d1c890384482585e3a4b37bca8f4620eab6d21ec8ed3c970a7a8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-10-05T06:54:17Z",
    "title_canon_sha256": "a82292a0242c0907ebc2803e2e4dddbcba07d0a5f4ab35adaa3bd87a5cee5382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.04065",
    "kind": "arxiv",
    "version": 2
  }
}