Pith Number

pith:RLSOPAAR

pith:2016:RLSOPAARIOV6GCKI2V6RGFLERO

not attested not anchored not stored refs pending

Learning Functions: When Is Deep Better Than Shallow

Hrushikesh Mhaskar, Qianli Liao, Tomaso Poggio

arxiv:1603.00988 v4 · 2016-03-03 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLSOPAARIOV6GCKI2V6RGFLERO}

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

1 paper in Pith

Fixed-order PCA: Theory for Overestimated Factor Models

Receipt and verification

First computed	2026-05-18T01:13:23.508821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ae4e7801143abe30948d57d1315648ba6150f76d97bb98beae79f16ab6558d8

Aliases

arxiv: 1603.00988 · arxiv_version: 1603.00988v4 · doi: 10.48550/arxiv.1603.00988 · pith_short_12: RLSOPAARIOV6 · pith_short_16: RLSOPAARIOV6GCKI · pith_short_8: RLSOPAAR

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/RLSOPAARIOV6GCKI2V6RGFLERO \
  | 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: 8ae4e7801143abe30948d57d1315648ba6150f76d97bb98beae79f16ab6558d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f44d2763d40a59cdba3effb64f740290081284f28d8cacff5d9eca90ed6025b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-03-03T06:26:31Z",
    "title_canon_sha256": "b857264f6f78a09a745314b74eb124f4581488260d5e25a52f03bbcf1b283eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00988",
    "kind": "arxiv",
    "version": 4
  }
}