Pith Number

pith:YY4C52G7

pith:2024:YY4C52G7KOEMDFI4J36GM2JE62

not attested not anchored not stored refs pending

Geometry of Lightning Self-Attention: Identifiability and Dimension

Giovanni Luca Marchetti, Kathl\'en Kohn, Nathan W. Henry

arxiv:2408.17221 v3 · 2024-08-30 · cs.LG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YY4C52G7KOEMDFI4J36GM2JE62}

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	2026-06-12T01:09:05.317449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6382ee8df5388c1951c4efc666924f69aeeecd1753df0d19a3a8d419d63f270

Aliases

arxiv: 2408.17221 · arxiv_version: 2408.17221v3 · doi: 10.48550/arxiv.2408.17221 · pith_short_12: YY4C52G7KOEM · pith_short_16: YY4C52G7KOEMDFI4 · pith_short_8: YY4C52G7

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/YY4C52G7KOEMDFI4J36GM2JE62 \
  | 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: c6382ee8df5388c1951c4efc666924f69aeeecd1753df0d19a3a8d419d63f270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b8f0ffdd21523ef01d91e8970a8d994ffaff80d5fd484db11b54b37df26121",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-08-30T12:00:36Z",
    "title_canon_sha256": "a35fbdfab1118555376d6b6dc639d91579ce04fda1750f852b79d2526fd4237b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.17221",
    "kind": "arxiv",
    "version": 3
  }
}