Pith Number

pith:KZZKV72N

pith:2025:KZZKV72NTCMGR77YABAF4YH4HP

not attested not anchored not stored refs pending

Aggregate-Combine-Readout GNNs Are More Expressive Than Logic C2

Przemys{\l}aw Andrzej Wa{\l}\k{e}ga, Stan P Hauke

arxiv:2508.06091 v1 · 2025-08-08 · 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{KZZKV72NTCMGR77YABAF4YH4HP}

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	2026-07-05T11:50:49.481113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5672aaff4d989868fff800405e60fc3bf80e07a916561397faa52e4f2d28e618

Aliases

arxiv: 2508.06091 · arxiv_version: 2508.06091v1 · doi: 10.48550/arxiv.2508.06091 · pith_short_12: KZZKV72NTCMG · pith_short_16: KZZKV72NTCMGR77Y · pith_short_8: KZZKV72N

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/KZZKV72NTCMGR77YABAF4YH4HP \
  | 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: 5672aaff4d989868fff800405e60fc3bf80e07a916561397faa52e4f2d28e618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4fb6586f82b5eac1159b067fa3d77dc7fdd42663e7d5953c81202c102ce3d74",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-08-08T07:35:35Z",
    "title_canon_sha256": "2de514fe3c39af53034bbf07c03e95fdc41a3438dd0f414fd40675db0490680b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06091",
    "kind": "arxiv",
    "version": 1
  }
}