Pith Number

pith:X422H6J4

pith:2021:X422H6J46JAT52P46374YV5YZ3

not attested not anchored not stored refs pending

On the Power of Differentiable Learning versus PAC and SQ Learning

Colin Sandon, Emmanuel Abbe, Eran Malach, Nathan Srebro, Pritish Kamath

arxiv:2108.04190 v2 · 2021-08-09 · cs.LG · 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{X422H6J46JAT52P46374YV5YZ3}

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	2026-07-05T03:54:22.705227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf35a3f93cf2413ee9fcf6ffcc57b8ceea7d31279422be40955aa1d28763d123

Aliases

arxiv: 2108.04190 · arxiv_version: 2108.04190v2 · doi: 10.48550/arxiv.2108.04190 · pith_short_12: X422H6J46JAT · pith_short_16: X422H6J46JAT52P4 · pith_short_8: X422H6J4

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/X422H6J46JAT52P46374YV5YZ3 \
  | 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: bf35a3f93cf2413ee9fcf6ffcc57b8ceea7d31279422be40955aa1d28763d123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e22d166febb640b89d6c2f520a50a6a8adb12a62f15c4652ce2e0193ff6c02",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-09T17:25:06Z",
    "title_canon_sha256": "a7fac2c1e5042b0476a3c698861d67ae8f5feb63d261b1aa46be8e152e3b4eb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04190",
    "kind": "arxiv",
    "version": 2
  }
}