Pith Number

pith:RDMRZDCA

pith:2019:RDMRZDCAJO2GEQ4WMNGKSY7RCA

not attested not anchored not stored refs pending

On the equivalence between graph isomorphism testing and function approximation with GNNs

Joan Bruna, Lei Chen, Soledad Villar, Zhengdao Chen

arxiv:1905.12560 v2 · 2019-05-29 · 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{RDMRZDCAJO2GEQ4WMNGKSY7RCA}

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	2026-07-05T05:40:40.970428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88d91c8c404bb4624396634ca963f1103786598f163c14d4fe17ac08a9b8d1bf

Aliases

arxiv: 1905.12560 · arxiv_version: 1905.12560v2 · doi: 10.48550/arxiv.1905.12560 · pith_short_12: RDMRZDCAJO2G · pith_short_16: RDMRZDCAJO2GEQ4W · pith_short_8: RDMRZDCA

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/RDMRZDCAJO2GEQ4WMNGKSY7RCA \
  | 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: 88d91c8c404bb4624396634ca963f1103786598f163c14d4fe17ac08a9b8d1bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5991782beee69f8d080b3c3a75d344b5a3dabd0e7c97332ad3d4d023fdc17b40",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-05-29T16:14:23Z",
    "title_canon_sha256": "bb48c4a6db6e2425ac698899578552d3b0f25fd5a3fdfd15f2b1b8aa5ec0764c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12560",
    "kind": "arxiv",
    "version": 2
  }
}