Pith Number

pith:5D24WWGF

pith:2023:5D24WWGFMI37DQPZLKPUCXQXUL

not attested not anchored not stored refs pending

On the Stability of Expressive Positional Encodings for Graphs

Joshua Robinson, Muhan Zhang, Pan Li, Stefanie Jegelka, William Lu, Yinan Huang, Yu Yang

arxiv:2310.02579 v3 · 2023-10-04 · cs.LG · 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{5D24WWGFMI37DQPZLKPUCXQXUL}

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

4 papers in Pith

Communicability-Inspired Positional Encoding (CIPE)

When Do Graph Foundation Models Transfer? A Data-Centric Theory

Feature Augmentation of GNNs for ILPs: Local Uniqueness Suffices

Frequency-Corrupt Based Graph Self-Supervised Learning

Receipt and verification

First computed	2026-07-05T08:28:57.340405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f5cb58c56237f1c1f95a9f415e17a2c65da1695e02914c827eb1706db75ea4

Aliases

arxiv: 2310.02579 · arxiv_version: 2310.02579v3 · doi: 10.48550/arxiv.2310.02579 · pith_short_12: 5D24WWGFMI37 · pith_short_16: 5D24WWGFMI37DQPZ · pith_short_8: 5D24WWGF

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/5D24WWGFMI37DQPZLKPUCXQXUL \
  | 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: e8f5cb58c56237f1c1f95a9f415e17a2c65da1695e02914c827eb1706db75ea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7fd7640fc96ced6779c562fec1dffee131a3ab780a266ed80859192658dc61c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-04T04:48:55Z",
    "title_canon_sha256": "8c9cc990d6de6d463c890c815ca4358aa69c6658ca3e849a39a0f9a13811929d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.02579",
    "kind": "arxiv",
    "version": 3
  }
}