Pith Number

pith:RRAYS2W6

pith:2023:RRAYS2W6H7I7O2WCZCNXJ67IPH

not attested not anchored not stored refs pending

Existence and convergence of solutions to $p$-Laplace equations on locally finite graphs

Liang Zhao, Mengqiu Shao, Yunyan Yang

arxiv:2306.14121 v2 · 2023-06-25 · 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{RRAYS2W6H7I7O2WCZCNXJ67IPH}

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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

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

Receipt and verification

First computed	2026-07-05T06:38:01.240482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c41896ade3fd1f76ac2c89b74fbe879caa4c2799f141784234512be866fddb6

Aliases

arxiv: 2306.14121 · arxiv_version: 2306.14121v2 · doi: 10.48550/arxiv.2306.14121 · pith_short_12: RRAYS2W6H7I7 · pith_short_16: RRAYS2W6H7I7O2WC · pith_short_8: RRAYS2W6

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/RRAYS2W6H7I7O2WCZCNXJ67IPH \
  | 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: 8c41896ade3fd1f76ac2c89b74fbe879caa4c2799f141784234512be866fddb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b167562c9fe785837dbf25f662492f8df746418229b343db0a47f63e99a6a400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-06-25T04:30:55Z",
    "title_canon_sha256": "62e9cc93625cf007b586a7960771105c2ea404caa5a9bb0c65b8e0e4caa546f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.14121",
    "kind": "arxiv",
    "version": 2
  }
}