Pith Number

pith:ZQZF52ZQ

pith:2018:ZQZF52ZQ75IGS7HHJROWEY3H7K

not attested not anchored not stored refs pending

The Dynamics of Learning: A Random Matrix Approach

Romain Couillet, Zhenyu Liao

arxiv:1805.11917 v2 · 2018-05-30 · stat.ML · 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{ZQZF52ZQ75IGS7HHJROWEY3H7K}

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

Products of Complex Rectangular and Hermitian Random Matrices

Receipt and verification

First computed	2026-07-05T02:23:55.315719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc325eeb30ff50697ce74c5d626367faa8050c8e73a3f1a3865b91be05ed9eb1

Aliases

arxiv: 1805.11917 · arxiv_version: 1805.11917v2 · doi: 10.48550/arxiv.1805.11917 · pith_short_12: ZQZF52ZQ75IG · pith_short_16: ZQZF52ZQ75IGS7HH · pith_short_8: ZQZF52ZQ

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/ZQZF52ZQ75IGS7HHJROWEY3H7K \
  | 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: cc325eeb30ff50697ce74c5d626367faa8050c8e73a3f1a3865b91be05ed9eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322465062b3d2bfa66df862db9d5cda4b1dcdf5d8c78a9fca434130888b2d4f3",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-05-30T12:21:17Z",
    "title_canon_sha256": "f647759132b4605f9b0ac108d4e8f14bf76683b8de03a214c56cf42025bf4e42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11917",
    "kind": "arxiv",
    "version": 2
  }
}