Pith Number

pith:UVN2P32I

pith:2026:UVN2P32IDZMIPR772RISXPGA3P

not attested not anchored not stored refs pending

LEED: Local Embedding Evolution Distance for over-smoothing estimation and virtual node selection in GNN

Killian Cressant, Pedro B. Velloso

arxiv:2608.09596 v1 · 2026-08-10 · 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{UVN2P32IDZMIPR772RISXPGA3P}

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	2026-08-11T02:24:34.818994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a55ba7ef481e5887c7ffd4512bbcc0dbd5c6c18a3596bf7b19910b045c62424b

Aliases

arxiv: 2608.09596 · arxiv_version: 2608.09596v1 · doi: 10.48550/arxiv.2608.09596 · pith_short_12: UVN2P32IDZMI · pith_short_16: UVN2P32IDZMIPR77 · pith_short_8: UVN2P32I

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/UVN2P32IDZMIPR772RISXPGA3P \
  | 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: a55ba7ef481e5887c7ffd4512bbcc0dbd5c6c18a3596bf7b19910b045c62424b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02bd1f3bc848f7b168e983b6272aad41209291e54d199245e52524d8d66ad3ed",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-10T13:30:46Z",
    "title_canon_sha256": "21ebfa1833c9c9176a04b10f05f2c6ed74c5a3a18dbec29eaa215a8de07a534e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09596",
    "kind": "arxiv",
    "version": 1
  }
}