Pith Number

pith:3ZU6SBQ4

pith:2023:3ZU6SBQ4UAWABD2AYRV6CSSO4Q

not attested not anchored not stored refs pending

Edge Directionality Improves Learning on Heterophilic Graphs

Bertrand Charpentier, Emanuele Rossi, Fabrizio Frasca, Francesco Di Giovanni, Michael Bronstein, Stephan G\"unnemann

arxiv:2305.10498 v3 · 2023-05-17 · cs.LG · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZU6SBQ4UAWABD2AYRV6CSSO4Q}

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

2 papers in Pith

Neural Networks With Dense Weights Are Not Universal Approximators

Receipt and verification

First computed	2026-07-05T07:17:26.172395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de69e9061ca02c008f40c46be14a4ee410134cce58d07e332be56494a5dc5068

Aliases

arxiv: 2305.10498 · arxiv_version: 2305.10498v3 · doi: 10.48550/arxiv.2305.10498 · pith_short_12: 3ZU6SBQ4UAWA · pith_short_16: 3ZU6SBQ4UAWABD2A · pith_short_8: 3ZU6SBQ4

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/3ZU6SBQ4UAWABD2AYRV6CSSO4Q \
  | 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: de69e9061ca02c008f40c46be14a4ee410134cce58d07e332be56494a5dc5068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ebf7fd8f93590b342b88124a42a41090a3b65655bd3660c4f6404d5afe9086",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-05-17T18:06:43Z",
    "title_canon_sha256": "c5a28f8f54059426fc3124181211a81fab8ec077fee640d031fe6b69d023f7aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.10498",
    "kind": "arxiv",
    "version": 3
  }
}