Pith. sign in
Pith Number

pith:PND3L2AO

pith:2016:PND3L2AO7UWUIBFZ7CGPWUQZBD
not attested not anchored not stored refs pending

Learning Unitary Operators with Help From u(n)

Gunnar R\"atsch, Stephanie L. Hyland

arxiv:1607.04903 v3 · 2016-07-17 · stat.ML · cs.LG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PND3L2AO7UWUIBFZ7CGPWUQZBD}

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

Receipt and verification
First computed 2026-05-18T00:53:07.911965Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7b47b5e80efd2d4404b9f88cfb521908f1648b81e90c2b4fc2f1a46468f6399d

Aliases

arxiv: 1607.04903 · arxiv_version: 1607.04903v3 · doi: 10.48550/arxiv.1607.04903 · pith_short_12: PND3L2AO7UWU · pith_short_16: PND3L2AO7UWUIBFZ · pith_short_8: PND3L2AO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PND3L2AO7UWUIBFZ7CGPWUQZBD \
  | 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: 7b47b5e80efd2d4404b9f88cfb521908f1648b81e90c2b4fc2f1a46468f6399d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2822b7e65fbc2293b820538e7ee435c038774bf3804b81765f6c0dc8dc6e6607",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-07-17T18:58:12Z",
    "title_canon_sha256": "85bded8fcf680a904b287f008200f5b61eb8b6cf0d177e47971df807858c783c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04903",
    "kind": "arxiv",
    "version": 3
  }
}