Pith Number

pith:PW4XVOIW

pith:2022:PW4XVOIWEDRCQUJYZTOQILBMLK

not attested not anchored not stored refs pending

Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit

Benjamin L. Edelman, Boaz Barak, Cyril Zhang, Eran Malach, Sham Kakade, Surbhi Goel

arxiv:2207.08799 v3 · 2022-07-18 · cs.LG · cs.NE · math.OC · 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{PW4XVOIWEDRCQUJYZTOQILBMLK}

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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

10 papers in Pith

Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity

Tracking Representation Dynamics in Large Language Models with Persistent Homology

Dead Directions: Geometric Singular Learning

Less Data, Faster Training: repeating smaller datasets speeds up learning via sampling biases

Massive Activations in Large Language Models

Receipt and verification

First computed	2026-07-05T05:33:14.583275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db97ab91620e2285138ccdd042c2c5a8430083dd4bf47bd34307cb6aaf22109

Aliases

arxiv: 2207.08799 · arxiv_version: 2207.08799v3 · doi: 10.48550/arxiv.2207.08799 · pith_short_12: PW4XVOIWEDRC · pith_short_16: PW4XVOIWEDRCQUJY · pith_short_8: PW4XVOIW

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/PW4XVOIWEDRCQUJYZTOQILBMLK \
  | 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: 7db97ab91620e2285138ccdd042c2c5a8430083dd4bf47bd34307cb6aaf22109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f0f494a7f3f37b5bc760b1fa54d8757df2e6d2aa0eacad4a2003a369f43aca",
    "cross_cats_sorted": [
      "cs.NE",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-07-18T17:55:05Z",
    "title_canon_sha256": "847ed10f79311e2bb959397bf408d5577edfea427e199f41d1f49c9bc18ea443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08799",
    "kind": "arxiv",
    "version": 3
  }
}