Pith Number

pith:DVVF3S6Z

pith:2025:DVVF3S6ZEU5YQP4ZBBNPEY6HY6

not attested not anchored not stored refs pending

Existence Theory for a class of semilinear mixed local and nonlocal equations involving variable singularities and singular measures

Prashanta Garain, Sanjit Biswas

arxiv:2507.04260 v1 · 2025-07-06 · 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{DVVF3S6ZEU5YQP4ZBBNPEY6HY6}

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.

Cited by

1 paper in Pith

Regularity and existence for a mixed local-nonlocal parabolic equation with variable singularities and measure data

Receipt and verification

First computed	2026-07-05T11:32:44.442653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d6a5dcbd9253b883f99085af263c7c798686d5b6b8c378f8315aba875c3556f

Aliases

arxiv: 2507.04260 · arxiv_version: 2507.04260v1 · doi: 10.48550/arxiv.2507.04260 · pith_short_12: DVVF3S6ZEU5Y · pith_short_16: DVVF3S6ZEU5YQP4Z · pith_short_8: DVVF3S6Z

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/DVVF3S6ZEU5YQP4ZBBNPEY6HY6 \
  | 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: 1d6a5dcbd9253b883f99085af263c7c798686d5b6b8c378f8315aba875c3556f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d6e015773494705157262ac8b2b6f1df4c1f51a77ae0279259fccfc7ac5675",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-06T06:44:05Z",
    "title_canon_sha256": "c497ca764b6004d99f860223d91574194219478b3af289e330750d3a69d0690c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04260",
    "kind": "arxiv",
    "version": 1
  }
}