Pith Number

pith:XHLQWELI

pith:2018:XHLQWELIB64D4RUPPZLKZEFPYU

not attested not anchored not stored refs pending

Stochastic Gradient/Mirror Descent: Minimax Optimality and Implicit Regularization

Babak Hassibi, Navid Azizan

arxiv:1806.00952 v4 · 2018-06-04 · cs.LG · cs.AI · math.OC · 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{XHLQWELIB64D4RUPPZLKZEFPYU}

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

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes

Receipt and verification

First computed	2026-05-17T23:56:05.307754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d70b11680fb83e468f7e56ac90afc51874840406518cc0d825939d56089af5

Aliases

arxiv: 1806.00952 · arxiv_version: 1806.00952v4 · doi: 10.48550/arxiv.1806.00952 · pith_short_12: XHLQWELIB64D · pith_short_16: XHLQWELIB64D4RUP · pith_short_8: XHLQWELI

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/XHLQWELIB64D4RUPPZLKZEFPYU \
  | 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: b9d70b11680fb83e468f7e56ac90afc51874840406518cc0d825939d56089af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb42fd7e7ad80499903f2453c94663f52b7d8a252a5fba6f9fdc488ef2d39ef",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-06-04T04:53:00Z",
    "title_canon_sha256": "32c6736b7d1ec3d2b86566364d351d7a38d0661fe12aff5f2e0644f7d0dcf2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00952",
    "kind": "arxiv",
    "version": 4
  }
}