Pith Number

pith:PAR6HUFE

pith:2024:PAR6HUFEUHHKA7SON66F5CIHKP

not attested not anchored not stored refs pending

Emergence of meta-stable clustering in mean-field transformer models

Andrea Agazzi, Federico Pasqualotto, Giuseppe Bruno

arxiv:2410.23228 v2 · 2024-10-30 · cs.LG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAR6HUFEUHHKA7SON66F5CIHKP}

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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

Two failure modes of deep transformers and how to avoid them: a unified theory of signal propagation at initialisation

Spectral Selection in Symmetric Self-Attention Dynamics

Receipt and verification

First computed	2026-07-05T10:49:47.838839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7823e3d0a4a1cea07e4e6fbc5e890753c00e0c628c2454bb2cd2de278e56c8a1

Aliases

arxiv: 2410.23228 · arxiv_version: 2410.23228v2 · doi: 10.48550/arxiv.2410.23228 · pith_short_12: PAR6HUFEUHHK · pith_short_16: PAR6HUFEUHHKA7SO · pith_short_8: PAR6HUFE

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/PAR6HUFEUHHKA7SON66F5CIHKP \
  | 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: 7823e3d0a4a1cea07e4e6fbc5e890753c00e0c628c2454bb2cd2de278e56c8a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac54f72434f9630442b301de1dbc54bbe7587d2b874be75fa54bea2a7875fba",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-30T17:16:38Z",
    "title_canon_sha256": "194234a64fbedd3c46183c397e09f3670ede722fca9093f2a193ed557648e271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.23228",
    "kind": "arxiv",
    "version": 2
  }
}