Pith Number

pith:LIPS4CXT

pith:2016:LIPS4CXTOC6VZV2TC4QAYCYSAH

not attested not anchored not stored refs pending

Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review

Brando Miranda, Hrushikesh Mhaskar, Lorenzo Rosasco, Qianli Liao, Tomaso Poggio

arxiv:1611.00740 v5 · 2016-11-02 · 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{LIPS4CXTOC6VZV2TC4QAYCYSAH}

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	2026-05-18T00:51:25.074597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a1f2e0af370bd5cd75317200c0b1201c6d76aa4891c073a8e381e3a7f4f4de8

Aliases

arxiv: 1611.00740 · arxiv_version: 1611.00740v5 · doi: 10.48550/arxiv.1611.00740 · pith_short_12: LIPS4CXTOC6V · pith_short_16: LIPS4CXTOC6VZV2T · pith_short_8: LIPS4CXT

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/LIPS4CXTOC6VZV2TC4QAYCYSAH \
  | 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: 5a1f2e0af370bd5cd75317200c0b1201c6d76aa4891c073a8e381e3a7f4f4de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23fe840c2314db3930b86ec83536e0a00182f607c0e9a847f90138be4b51e09c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-11-02T19:35:52Z",
    "title_canon_sha256": "d281ed6710bcf14ab25d023666f6d0c8fefd79662f86ba8838145cd6246eeebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00740",
    "kind": "arxiv",
    "version": 5
  }
}