Pith Number

pith:HEO3QZ4B

pith:2021:HEO3QZ4B7XPRSW5VDRMZ5WJL2T

not attested not anchored not stored refs pending

Position-based Hash Embeddings For Scaling Graph Neural Networks

George Karypis, Maria Kalantzi

arxiv:2109.00101 v3 · 2021-08-31 · cs.LG · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEO3QZ4B7XPRSW5VDRMZ5WJL2T}

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	2026-07-05T03:12:50.552859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391db86781fddf195bb51c599ed92bd4d6bdbc32fd63825520ca986dd5148202

Aliases

arxiv: 2109.00101 · arxiv_version: 2109.00101v3 · doi: 10.48550/arxiv.2109.00101 · pith_short_12: HEO3QZ4B7XPR · pith_short_16: HEO3QZ4B7XPRSW5V · pith_short_8: HEO3QZ4B

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/HEO3QZ4B7XPRSW5VDRMZ5WJL2T \
  | 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: 391db86781fddf195bb51c599ed92bd4d6bdbc32fd63825520ca986dd5148202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aff8bbfd20914b6a79ccd84624c877485505f4c39a93001eef6cc469108fa7de",
    "cross_cats_sorted": [
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-31T22:42:25Z",
    "title_canon_sha256": "fef99f29a4e1f3ec4746d78911b918b254dd7daa257c1590f57a0df8398e84fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00101",
    "kind": "arxiv",
    "version": 3
  }
}