Pith Number

pith:2NWJYJSZ

pith:2024:2NWJYJSZN6K4OTQHGV3PEIWRCK

not attested not anchored not stored refs pending

Modular Duality in Deep Learning

Jeremy Bernstein, Laker Newhouse

arxiv:2410.21265 v2 · 2024-10-28 · cs.LG · cs.NE · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NWJYJSZN6K4OTQHGV3PEIWRCK}

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

18 papers in Pith

Lifelong In-Context Learning with Transformers Requires Parametric Forms of Attention

Token Geometry

Why Muon Outperforms Adam: A Curvature Perspective

Stochastic convergence of parallel asynchronous adaptive first-order methods

Dead-Direction Conditioners: Gauge-Equivariant Preconditioning for Deep Networks

Receipt and verification

First computed	2026-07-05T09:45:15.852369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36c9c26596f95c74e073576f222d112bd31d451bbac73dc396bd430cbc3f84f

Aliases

arxiv: 2410.21265 · arxiv_version: 2410.21265v2 · doi: 10.48550/arxiv.2410.21265 · pith_short_12: 2NWJYJSZN6K4 · pith_short_16: 2NWJYJSZN6K4OTQH · pith_short_8: 2NWJYJSZ

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/2NWJYJSZN6K4OTQHGV3PEIWRCK \
  | 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: d36c9c26596f95c74e073576f222d112bd31d451bbac73dc396bd430cbc3f84f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38bcaf8a7101f2a1a07075ea95159e20aac78cc28fb70ad991c89c4eb321586d",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-28T17:57:31Z",
    "title_canon_sha256": "90d86a70b8c5dbd4a394330fd324a900ea4d8767946e96dc1dd18eacf8e39fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.21265",
    "kind": "arxiv",
    "version": 2
  }
}