Pith Number

pith:7KFTNMY3

pith:2024:7KFTNMY3KCKHY2PLIL63GGIZSG

not attested not anchored not stored refs pending

On the Complexity of Learning Sparse Functions with Statistical and Gradient Queries

Nathan Srebro, Nirmit Joshi, Theodor Misiakiewicz

arxiv:2407.05622 v1 · 2024-07-08 · cs.LG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KFTNMY3KCKHY2PLIL63GGIZSG}

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	2026-07-05T08:41:16.334956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa8b36b31b50947c69eb42fdb319199182ec431f52eca7fce9922f13c5eafe02

Aliases

arxiv: 2407.05622 · arxiv_version: 2407.05622v1 · doi: 10.48550/arxiv.2407.05622 · pith_short_12: 7KFTNMY3KCKH · pith_short_16: 7KFTNMY3KCKHY2PL · pith_short_8: 7KFTNMY3

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/7KFTNMY3KCKHY2PLIL63GGIZSG \
  | 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: fa8b36b31b50947c69eb42fdb319199182ec431f52eca7fce9922f13c5eafe02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c9a94d28db8eef6b295c35918bc6a63ede4f16328083943766b7928b088cec",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-07-08T05:30:34Z",
    "title_canon_sha256": "15b864f841d4f3b81687919b9b823a92e4da66d60385b9db460f4cd9012f9785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05622",
    "kind": "arxiv",
    "version": 1
  }
}