Pith Number

pith:QLR6IVZV

pith:2025:QLR6IVZVMUZRUCTSE5LW6F5ZNE

not attested not anchored not stored refs pending

Fractional Sobolev spaces and fractional $p$-Laplace equations on locally finite graphs

Mengjie Zhang, Yong Lin, Yunyan Yang

arxiv:2506.07694 v1 · 2025-06-09 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLR6IVZVMUZRUCTSE5LW6F5ZNE}

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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

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs

Receipt and verification

First computed	2026-07-05T11:18:31.639027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82e3e4573565331a0a7227576f17b969201ce09b3b555146a75304cb81172f62

Aliases

arxiv: 2506.07694 · arxiv_version: 2506.07694v1 · doi: 10.48550/arxiv.2506.07694 · pith_short_12: QLR6IVZVMUZR · pith_short_16: QLR6IVZVMUZRUCTS · pith_short_8: QLR6IVZV

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/QLR6IVZVMUZRUCTSE5LW6F5ZNE \
  | 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: 82e3e4573565331a0a7227576f17b969201ce09b3b555146a75304cb81172f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6be7a9d41b2a7de78b13a237b61b7ef520dc72118af6ba9c94bf05d81b6e58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-09T12:29:30Z",
    "title_canon_sha256": "ebac486a525f552dab506f8724ba6daad50629851deb2a5f40dff6fe94725f36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07694",
    "kind": "arxiv",
    "version": 1
  }
}