Pith Number

pith:TZI6T6NA

pith:2025:TZI6T6NAAZCYF7RVOCBG2LIG7N

not attested not anchored not stored refs pending

LEAP: Local ECT-Based Learnable Positional Encodings for Graphs

Bastian Rieck, Ernst R\"oell, Juan Amboage, Patrick Schnider

arxiv:2510.00757 v3 · 2025-10-01 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZI6T6NAAZCYF7RVOCBG2LIG7N}

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	2026-05-17T23:39:17.364007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e51e9f9a0064582fe3570826d2d06fb6ecb35bfaa0708f09cd6215d232b6189

Aliases

arxiv: 2510.00757 · arxiv_version: 2510.00757v3 · doi: 10.48550/arxiv.2510.00757 · pith_short_12: TZI6T6NAAZCY · pith_short_16: TZI6T6NAAZCYF7RV · pith_short_8: TZI6T6NA

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/TZI6T6NAAZCYF7RVOCBG2LIG7N \
  | 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: 9e51e9f9a0064582fe3570826d2d06fb6ecb35bfaa0708f09cd6215d232b6189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e7c29f5222edfa8919fdecb4bd7fe9a61a88e930b9412c1de269189ad2b018",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-10-01T10:44:01Z",
    "title_canon_sha256": "63cabe5a108d123f3c1ee0143d48bf2c434ec9a3f12d7af9908eb5f8f83d0728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.00757",
    "kind": "arxiv",
    "version": 3
  }
}