Pith Number

pith:3TTNHRO7

pith:2016:3TTNHRO7KAE3NZIJ7BF2HQ4XJM

not attested not anchored not stored refs pending

Tunable Efficient Unitary Neural Networks (EUNN) and their application to RNNs

John Peurifoy, Li Jing, Marin Solja\v{c}i\'c, Max Tegmark, Scott Skirlo, Tena Dub\v{c}ek, Yann LeCun, Yichen Shen

arxiv:1612.05231 v3 · 2016-12-15 · 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{3TTNHRO7KAE3NZIJ7BF2HQ4XJM}

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	2026-05-18T00:47:26.480164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce6d3c5df5009b6e509f84ba3c3974b351bdfdf620ae1d94aff47d9061e0e7e

Aliases

arxiv: 1612.05231 · arxiv_version: 1612.05231v3 · doi: 10.48550/arxiv.1612.05231 · pith_short_12: 3TTNHRO7KAE3 · pith_short_16: 3TTNHRO7KAE3NZIJ · pith_short_8: 3TTNHRO7

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/3TTNHRO7KAE3NZIJ7BF2HQ4XJM \
  | 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: dce6d3c5df5009b6e509f84ba3c3974b351bdfdf620ae1d94aff47d9061e0e7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2e0eecb93140a7d677e28ffb8cf1a3b7f5c695472096f3a8b29cfa04370d1c",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-12-15T20:39:15Z",
    "title_canon_sha256": "2c0510e07b535f98f200a84ec1dd6e38e1d9d60ef7c4709049da285076fedc30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05231",
    "kind": "arxiv",
    "version": 3
  }
}