Pith Number

pith:EVHAAJWM

pith:2026:EVHAAJWM6KUOJJHA2F5AI6ECST

not attested not anchored not stored refs pending

Multigrid Training for Molecular Generation using Graph Neural Networks

Di Liu, Paula Mercurio, Zixuan Ling

arxiv:2606.22377 v1 · 2026-06-21 · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVHAAJWM6KUOJJHA2F5AI6ECST}

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	2026-06-23T02:13:36.827877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

254e0026ccf2a8e4a4e0d17a04788294fb83eb72e1ca774943c75fdc29703212

Aliases

arxiv: 2606.22377 · arxiv_version: 2606.22377v1 · doi: 10.48550/arxiv.2606.22377 · pith_short_12: EVHAAJWM6KUO · pith_short_16: EVHAAJWM6KUOJJHA · pith_short_8: EVHAAJWM

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/EVHAAJWM6KUOJJHA2F5AI6ECST \
  | 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: 254e0026ccf2a8e4a4e0d17a04788294fb83eb72e1ca774943c75fdc29703212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4fe48026b1f2ff22d6283d16f3fed1a75fd13e7061c91f8940ca1ca94acd3e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-21T07:56:31Z",
    "title_canon_sha256": "746a8a3888a31dd2e9f63c47de833f146c632e75cfa783cd0ce088d43b6d402a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22377",
    "kind": "arxiv",
    "version": 1
  }
}