Pith Number

pith:ZPSLB4XO

pith:2025:ZPSLB4XOXJ5VE4T34WRE3AU66B

not attested not anchored not stored refs pending

Residual connections provably mitigate oversmoothing in graph neural networks

Philippe Rigollet, Shi Chen, Yury Polyanskiy, Zhengjiang Lin, Ziang Chen

arxiv:2501.00762 v2 · 2025-01-01 · cs.LG · math.DS · math.PR · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPSLB4XOXJ5VE4T34WRE3AU66B}

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	2026-07-05T09:56:59.122504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe4b0f2eeba7b52727be5a24d829ef06f8e7c2485fc12c04e2458143662e920

Aliases

arxiv: 2501.00762 · arxiv_version: 2501.00762v2 · doi: 10.48550/arxiv.2501.00762 · pith_short_12: ZPSLB4XOXJ5V · pith_short_16: ZPSLB4XOXJ5VE4T3 · pith_short_8: ZPSLB4XO

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/ZPSLB4XOXJ5VE4T34WRE3AU66B \
  | 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: cbe4b0f2eeba7b52727be5a24d829ef06f8e7c2485fc12c04e2458143662e920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b060339387fc712e4729d7ebfd89e03d9d86edc2e51caca14037eabc37c7281",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-01T07:35:36Z",
    "title_canon_sha256": "5608d7cab653884cf54f61bc7e0f522b11a7456c688f16ea0f0de2e9c74aa63b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00762",
    "kind": "arxiv",
    "version": 2
  }
}