Pith Number

pith:W4KW2IA6

pith:2025:W4KW2IA6LMDGWX37XFFAXMWCGT

not attested not anchored not stored refs pending

Learning Laplacian Positional Encodings for Heterophilous Graphs

Danai Koutra, Dexiong Chen, Jenna Wiens, Jiong Zhu, Michael Ito

arxiv:2504.20430 v1 · 2025-04-29 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4KW2IA6LMDGWX37XFFAXMWCGT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-05T10:55:42.429185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7156d201e5b066b5f7fb94a0bb2c234c1008624a5ed0d49d3d3154eef0efaa9

Aliases

arxiv: 2504.20430 · arxiv_version: 2504.20430v1 · doi: 10.48550/arxiv.2504.20430 · pith_short_12: W4KW2IA6LMDG · pith_short_16: W4KW2IA6LMDGWX37 · pith_short_8: W4KW2IA6

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/W4KW2IA6LMDGWX37XFFAXMWCGT \
  | 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: b7156d201e5b066b5f7fb94a0bb2c234c1008624a5ed0d49d3d3154eef0efaa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "132d6b3a476d68cb58f1f7057782e4dba569b1e8c5ae945b944c5f21615ad775",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-04-29T04:58:13Z",
    "title_canon_sha256": "47a87ea41d16faaa919b8850fb47eea193cedd9132459c5bfe955e20f506159e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20430",
    "kind": "arxiv",
    "version": 1
  }
}