Pith Number

pith:CASM5BED

pith:2021:CASM5BEDQIP42UXTSZBOU2BPUJ

not attested not anchored not stored refs pending

GRAND: Graph Neural Diffusion

Benjamin Paul Chamberlain, Emanuele Rossi, James Rowbottom, Maria Gorinova, Michael M. Bronstein, Stefan Webb

arxiv:2106.10934 v2 · 2021-06-21 · 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{CASM5BEDQIP42UXTSZBOU2BPUJ}

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

Swarm-Inspired Generation of Collective Behaviors in Graph Dynamical Systems

Receipt and verification

First computed	2026-07-05T03:16:33.014680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1024ce8483821fcd52f39642ea682fa2728ac68e0c52b9f69f98e0745d4320ed

Aliases

arxiv: 2106.10934 · arxiv_version: 2106.10934v2 · doi: 10.48550/arxiv.2106.10934 · pith_short_12: CASM5BEDQIP4 · pith_short_16: CASM5BEDQIP42UXT · pith_short_8: CASM5BED

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/CASM5BEDQIP42UXTSZBOU2BPUJ \
  | 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: 1024ce8483821fcd52f39642ea682fa2728ac68e0c52b9f69f98e0745d4320ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dee5c3f34ecc28943c72e8ce350519c96b82962d064c04c2f410be21cb4c041",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-21T09:10:57Z",
    "title_canon_sha256": "485d8e1e6defa0991e0f2f940bcd9ce5e95c954684745b920431b53cdadd3576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10934",
    "kind": "arxiv",
    "version": 2
  }
}