Pith Number

pith:7NOZ6JVN

pith:2025:7NOZ6JVNMNZLRVMIOO657WU6RU

not attested not anchored not stored refs pending

Depth-Width tradeoffs in Algorithmic Reasoning of Graph Tasks with Transformers

Amir Globerson, Clayton Sanford, Gilad Yehudai, Maya Bechler-Speicher, Orr Fischer, Ran Gilad-Bachrach

arxiv:2503.01805 v3 · 2025-03-03 · cs.LG · cs.AI · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NOZ6JVNMNZLRVMIOO657WU6RU}

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

3 papers in Pith

Lost in Tokenization: Fundamental Trade-offs in Graph Tokenization for Transformers

Deep sequence models tend to memorize geometrically; it is unclear why

Learning to Approximate Uniform Facility Location via Graph Neural Networks

Receipt and verification

First computed	2026-06-19T16:11:10.237450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb5d9f26ad6372b8d58873bddfda9e8d2ffc41fafe4905f54ebe2321c9c6a0f4

Aliases

arxiv: 2503.01805 · arxiv_version: 2503.01805v3 · doi: 10.48550/arxiv.2503.01805 · pith_short_12: 7NOZ6JVNMNZL · pith_short_16: 7NOZ6JVNMNZLRVMI · pith_short_8: 7NOZ6JVN

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/7NOZ6JVNMNZLRVMIOO657WU6RU \
  | 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: fb5d9f26ad6372b8d58873bddfda9e8d2ffc41fafe4905f54ebe2321c9c6a0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d4e39096b9ba063b15154fe687e242464bfc26b9c1bdb217a9e73d43ea4328b",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-03-03T18:33:58Z",
    "title_canon_sha256": "2d85ba6e4d74f280b892cb07657f9bc8c75ddc6bf015edb0a17a662a532042fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.01805",
    "kind": "arxiv",
    "version": 3
  }
}