Pith Number

pith:W2BJJ3L5

pith:2024:W2BJJ3L5A2CK2H5HS66AIPMAPC

not attested not anchored not stored refs pending

Fractional Laplace operator and related Schr\"odinger equations on locally finite graphs

Mengjie Zhang, Yong Lin, Yunyan Yang

arxiv:2408.02902 v2 · 2024-08-06 · 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{W2BJJ3L5A2CK2H5HS66AIPMAPC}

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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

Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations

Receipt and verification

First computed	2026-07-05T11:18:13.664970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b68294ed7d0684ad1fa797bc043d8078b3675c92787a25f60c406c8b3d9de6e1

Aliases

arxiv: 2408.02902 · arxiv_version: 2408.02902v2 · doi: 10.48550/arxiv.2408.02902 · pith_short_12: W2BJJ3L5A2CK · pith_short_16: W2BJJ3L5A2CK2H5H · pith_short_8: W2BJJ3L5

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/W2BJJ3L5A2CK2H5HS66AIPMAPC \
  | 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: b68294ed7d0684ad1fa797bc043d8078b3675c92787a25f60c406c8b3d9de6e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2319b8e6e2d03980a523f2f0d52b8b791c7ae9ad3716148ff39a6a6a0919175c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-06T02:22:06Z",
    "title_canon_sha256": "fb87979f6ee0f1c0596f5b5010e4351d662ddc952456aaf8cfca50a98290cc7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.02902",
    "kind": "arxiv",
    "version": 2
  }
}