Pith Number

pith:L7KVQF22

pith:2021:L7KVQF227KNJGMLLESRBA43V7Y

not attested not anchored not stored refs pending

Lipschitz Normalization for Self-Attention Layers with Application to Graph Neural Networks

Aladin Virmaux, George Dasoulas, Kevin Scaman

arxiv:2103.04886 v3 · 2021-03-08 · cs.LG · 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{L7KVQF227KNJGMLLESRBA43V7Y}

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	2026-07-05T03:13:25.976369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd558175afa9a93316b24a2107375fe11aa1aebc445bb0d41b6f547756f1ea5

Aliases

arxiv: 2103.04886 · arxiv_version: 2103.04886v3 · doi: 10.48550/arxiv.2103.04886 · pith_short_12: L7KVQF227KNJ · pith_short_16: L7KVQF227KNJGMLL · pith_short_8: L7KVQF22

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/L7KVQF227KNJGMLLESRBA43V7Y \
  | 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: 5fd558175afa9a93316b24a2107375fe11aa1aebc445bb0d41b6f547756f1ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68e1cbea6179fa600d40289f189116120a89872469b2f579d46abd040ea2c00",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-03-08T16:47:16Z",
    "title_canon_sha256": "422daf15b66bda38c9e9274be119bf84dfe3793b9cdfea1f2dadccb30222ed51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.04886",
    "kind": "arxiv",
    "version": 3
  }
}