Pith Number

pith:TFJCBFCC

pith:2025:TFJCBFCCBEI77G3ZLJP7TDF7OP

not attested not anchored not stored refs pending

Spectral analysis, maximum principles and shape optimization for nonlinear superposition operators of mixed fractional order

Michael Ruzhansky, Sekhar Ghosh, Vishvesh Kumar, Yergen Aikyn

arxiv:2511.02978 v2 · 2025-11-04 · math.AP · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFJCBFCCBEI77G3ZLJP7TDF7OP}

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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.

Cited by

1 paper in Pith

Regularity of superposition operators of mixed fractional order

Receipt and verification

First computed	2026-05-26T02:05:03.868875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99522094420911ff9b795a5ff98cbf73dd53dad21cd555294a97b7a6a74d9bcf

Aliases

arxiv: 2511.02978 · arxiv_version: 2511.02978v2 · doi: 10.48550/arxiv.2511.02978 · pith_short_12: TFJCBFCCBEI7 · pith_short_16: TFJCBFCCBEI77G3Z · pith_short_8: TFJCBFCC

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/TFJCBFCCBEI77G3ZLJP7TDF7OP \
  | 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: 99522094420911ff9b795a5ff98cbf73dd53dad21cd555294a97b7a6a74d9bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b58a22edfafc0f751b0ca3b98bb95007bfc376382295a8f0417104af14cfb3fa",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-11-04T20:36:33Z",
    "title_canon_sha256": "f5ece89c73e3e9442c5811a9d4c1c688cf970ec87f5b28f127f621c631d8fd75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.02978",
    "kind": "arxiv",
    "version": 2
  }
}