Pith Number

pith:PX35HYNK

pith:2020:PX35HYNKB3VKYNFPYGWQRFHU2H

not attested not anchored not stored refs pending

The expressive power of kth-order invariant graph networks

Floris Geerts

arxiv:2007.12035 v1 · 2020-07-23 · cs.LG · math.CO · 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{PX35HYNKB3VKYNFPYGWQRFHU2H}

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	2026-07-05T01:21:42.975043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df7d3e1aa0eeaac34afc1ad0894f4d1cff3b9c2af406dacc59d9b4e90876474

Aliases

arxiv: 2007.12035 · arxiv_version: 2007.12035v1 · doi: 10.48550/arxiv.2007.12035 · pith_short_12: PX35HYNKB3VK · pith_short_16: PX35HYNKB3VKYNFP · pith_short_8: PX35HYNK

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/PX35HYNKB3VKYNFPYGWQRFHU2H \
  | 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: 7df7d3e1aa0eeaac34afc1ad0894f4d1cff3b9c2af406dacc59d9b4e90876474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c671a993d21ebb405c6ab7ae39516c8fc572b68743d6931692c0c0dbc7f79b76",
    "cross_cats_sorted": [
      "math.CO",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-07-23T14:30:51Z",
    "title_canon_sha256": "8f53f058143aec423a1b189ca185bd2fb269800cced74f5ad120d33eee1c9831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.12035",
    "kind": "arxiv",
    "version": 1
  }
}