Pith Number

pith:O2DG4BGD

pith:2015:O2DG4BGDRPOMUZX3EV7BE4YHKZ

not attested not anchored not stored refs pending

A mathematical motivation for complex-valued convolutional networks

Arthur Szlam, Joan Bruna, Mark Tygert, Serkan Piantino, Soumith Chintala, Yann LeCun

arxiv:1503.03438 v3 · 2015-03-11 · cs.LG · cs.NE · stat.ML

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\usepackage{pith}
\pithnumber{O2DG4BGDRPOMUZX3EV7BE4YHKZ}

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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

Resonant Machine Learning Based on Complex Growth Transform Dynamical Systems

Receipt and verification

First computed	2026-05-18T01:15:53.077517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76866e04c38bdcca66fb257e127307566204cc13523619d544de85690b8237af

Aliases

arxiv: 1503.03438 · arxiv_version: 1503.03438v3 · doi: 10.48550/arxiv.1503.03438 · pith_short_12: O2DG4BGDRPOM · pith_short_16: O2DG4BGDRPOMUZX3 · pith_short_8: O2DG4BGD

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/O2DG4BGDRPOMUZX3EV7BE4YHKZ \
  | 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: 76866e04c38bdcca66fb257e127307566204cc13523619d544de85690b8237af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab1a040612de674ac49dcbbce709b0c116710d983cc89c40bb9e19f7578b7ad3",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-03-11T18:24:13Z",
    "title_canon_sha256": "4b87ff162c86b27bd7b97cd3fe5163040d6271c7e51d0cf5d1779038d08df7f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03438",
    "kind": "arxiv",
    "version": 3
  }
}