Pith Number

pith:HLHCWZJC

pith:2025:HLHCWZJCFJGJOEBWUJVWWYDF5F

not attested not anchored not stored refs pending

The underlying structures of self-attention: symmetry, directionality, and emergent dynamics in Transformer training

Benjamin Grewe, Matteo Saponati, Pascal Sager, Pau Vilimelis Aceituno, Thilo Stadelmann

arxiv:2502.10927 v2 · 2025-02-15 · 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{HLHCWZJCFJGJOEBWUJVWWYDF5F}

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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

2 papers in Pith

Agentic Transformers Provably Learn to Search via Reinforcement Learning

Uncovering the Latent Potential of Deep Intermediate Representations

Receipt and verification

First computed	2026-07-05T11:14:53.740413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ace2b65222a4c971036a26b6b6065e94edd0f1aad1003fd1e55c4398b13638a

Aliases

arxiv: 2502.10927 · arxiv_version: 2502.10927v2 · doi: 10.48550/arxiv.2502.10927 · pith_short_12: HLHCWZJCFJGJ · pith_short_16: HLHCWZJCFJGJOEBW · pith_short_8: HLHCWZJC

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/HLHCWZJCFJGJOEBWUJVWWYDF5F \
  | 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: 3ace2b65222a4c971036a26b6b6065e94edd0f1aad1003fd1e55c4398b13638a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2add99d75cf487a870b889b7656759c6ad7740dfdb0eab9f47c38c247fbe2a52",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-15T23:08:02Z",
    "title_canon_sha256": "cea589218265e3241876f64ce586cbb8bef3b253b65fce19196c5a0585082cef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10927",
    "kind": "arxiv",
    "version": 2
  }
}