Pith Number

pith:C4FBHNQX

pith:2021:C4FBHNQXGKING3F2AYMGTZQNVB

not attested not anchored not stored refs pending

An algorithmic view of $\ell_2$ regularization and some path-following algorithms

Renxiong Liu, Yunzhang Zhu

arxiv:2107.03322 v1 · 2021-07-07 · stat.ML · cs.LG · stat.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4FBHNQXGKING3F2AYMGTZQNVB}

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	2026-07-05T02:56:02.762152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170a13b6173290d36cba061869e60da872030af199fac1c7bc4456a2bea04ed1

Aliases

arxiv: 2107.03322 · arxiv_version: 2107.03322v1 · doi: 10.48550/arxiv.2107.03322 · pith_short_12: C4FBHNQXGKIN · pith_short_16: C4FBHNQXGKING3F2 · pith_short_8: C4FBHNQX

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/C4FBHNQXGKING3F2AYMGTZQNVB \
  | 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: 170a13b6173290d36cba061869e60da872030af199fac1c7bc4456a2bea04ed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69edbda74e63047d6ec93dee43ac241e14ad08ef3fe7e9165bb4f24e87ed908c",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2021-07-07T16:00:13Z",
    "title_canon_sha256": "9d6130a9271829b8c98a6f53c479e470f9efbfd0bd1874f49f38cbe3a2b15899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.03322",
    "kind": "arxiv",
    "version": 1
  }
}