Pith Number

pith:NPGONRZB

pith:2020:NPGONRZBX2F4U5RA2VUBZMEBFJ

not attested not anchored not stored refs pending

A PAC-Bayesian Approach to Generalization Bounds for Graph Neural Networks

Raquel Urtasun, Renjie Liao, Richard Zemel

arxiv:2012.07690 v1 · 2020-12-14 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPGONRZBX2F4U5RA2VUBZMEBFJ}

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

1 paper in Pith

Learning from one graph: transductive learning guarantees via the geometry of small random worlds

Receipt and verification

First computed	2026-07-05T01:59:23.219927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bcce6c721be8bca7620d5681cb0812a72582d86e0f8b42b4727d63da93aa415

Aliases

arxiv: 2012.07690 · arxiv_version: 2012.07690v1 · doi: 10.48550/arxiv.2012.07690 · pith_short_12: NPGONRZBX2F4 · pith_short_16: NPGONRZBX2F4U5RA · pith_short_8: NPGONRZB

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/NPGONRZBX2F4U5RA2VUBZMEBFJ \
  | 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: 6bcce6c721be8bca7620d5681cb0812a72582d86e0f8b42b4727d63da93aa415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f715918ced693f253164a67264769b5fe56db6320578efb88702d5f1f813b5ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-12-14T16:41:23Z",
    "title_canon_sha256": "71adcf88924982f042318ba6e964a6c613488ef65f021472a0070b179135aac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.07690",
    "kind": "arxiv",
    "version": 1
  }
}