Pith Number

pith:3BO3DP4W

pith:2025:3BO3DP4WSDAGKH337FSTVJA33S

not attested not anchored not stored refs pending

On Measuring Long-Range Interactions in Graph Neural Networks

Benjamin Gutteridge, Jacob Bamberger, Michael M. Bronstein, Scott le Roux, Xiaowen Dong

arxiv:2506.05971 v1 · 2025-06-06 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BO3DP4WSDAGKH337FSTVJA33S}

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.

Cited by

3 papers in Pith

GeoFlow: Geo-Aware Modeling of Inter-Area Relationships in Origin-Destination Flow Prediction and Generation

Ramanujan Graph Rewiring with Non Negative Resistance Curvature

Six Open Questions in Machine-Learned Interatomic Potential Foundation Models

Receipt and verification

First computed	2026-07-05T11:17:14.029671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d85db1bf9690c0651f7bf9653aa41bdcb442ae4a0a417d6709d91ad17fa8a498

Aliases

arxiv: 2506.05971 · arxiv_version: 2506.05971v1 · doi: 10.48550/arxiv.2506.05971 · pith_short_12: 3BO3DP4WSDAG · pith_short_16: 3BO3DP4WSDAGKH33 · pith_short_8: 3BO3DP4W

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/3BO3DP4WSDAGKH337FSTVJA33S \
  | 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: d85db1bf9690c0651f7bf9653aa41bdcb442ae4a0a417d6709d91ad17fa8a498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f66b93d35f15e5ceea6c1b35877915d5d54080a6f2ec4f1537fbbcbbc64f6033",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-06T10:48:30Z",
    "title_canon_sha256": "abc363c20ba2ea9aeab93f5fb6d96019ef23ae12d2eb8c8a14500a1bafe5c02e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05971",
    "kind": "arxiv",
    "version": 1
  }
}