Pith Number

pith:2MPH5EJQ

pith:2021:2MPH5EJQUWPR3HNIZULXCQCFA5

not attested not anchored not stored refs pending

Depth separation beyond radial functions

Joan Bruna, Luca Venturi, Samy Jelassi, Tristan Ozuch

arxiv:2102.01621 v4 · 2021-02-02 · cs.LG · cs.NE · 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{2MPH5EJQUWPR3HNIZULXCQCFA5}

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

Principles and Practice of Deep Representation Learning: or a Mathematical Theory of Memory

Receipt and verification

First computed	2026-07-05T03:16:30.942960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d31e7e9130a59f1d9da8cd177140450756318200687020dac1e3a5128c1dafc2

Aliases

arxiv: 2102.01621 · arxiv_version: 2102.01621v4 · doi: 10.48550/arxiv.2102.01621 · pith_short_12: 2MPH5EJQUWPR · pith_short_16: 2MPH5EJQUWPR3HNI · pith_short_8: 2MPH5EJQ

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/2MPH5EJQUWPR3HNIZULXCQCFA5 \
  | 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: d31e7e9130a59f1d9da8cd177140450756318200687020dac1e3a5128c1dafc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdf26c82209d3a16ce5a104df766371d853848a638dbecc69c3a91578143b6f",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-02-02T17:25:02Z",
    "title_canon_sha256": "84af9e007f02061f98ff8106d9ee063c08c9f5782c2ffdebe052c5a0d008d3ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.01621",
    "kind": "arxiv",
    "version": 4
  }
}