Pith Number

pith:FV645CQO

pith:2025:FV645CQOVBT4MYPIHQE77RRTPS

not attested not anchored not stored refs pending

The Logarithmic Laplacian on General Graphs

Rui Chen, Wendi Xu

arxiv:2507.05936 v2 · 2025-07-08 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV645CQOVBT4MYPIHQE77RRTPS}

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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

On $m$-order logarithmic Schr\"odinger operator

Receipt and verification

First computed	2026-07-05T11:44:08.471032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7dce8a0ea867c661e83c09ffc6337c8152e6981523ae755df2ba6fc5376b12

Aliases

arxiv: 2507.05936 · arxiv_version: 2507.05936v2 · doi: 10.48550/arxiv.2507.05936 · pith_short_12: FV645CQOVBT4 · pith_short_16: FV645CQOVBT4MYPI · pith_short_8: FV645CQO

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/FV645CQOVBT4MYPIHQE77RRTPS \
  | 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: 2d7dce8a0ea867c661e83c09ffc6337c8152e6981523ae755df2ba6fc5376b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "268afc43c14941c5876b7ec4e3dbafd7321b64f865cee49f9c90bf43633c3805",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-08T12:37:29Z",
    "title_canon_sha256": "819b5129c8d4ff5a614e611caeea73b95d961aceeae6b6b6aa052e9a5882b2a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05936",
    "kind": "arxiv",
    "version": 2
  }
}