Pith Number

pith:5ULVYMDJ

pith:2019:5ULVYMDJ45SDPMKSHRJZNBKMGA

not attested not anchored not stored refs pending

Riemannian adaptive stochastic gradient algorithms on matrix manifolds

Bamdev Mishra, Hiroyuki Kasai, Pratik Jawanpuria

arxiv:1902.01144 v5 · 2019-02-04 · cs.LG · 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{5ULVYMDJ45SDPMKSHRJZNBKMGA}

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	2026-05-17T23:42:02.537581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed175c3069e76437b1523c5396854c3025cc241a3e6455994248f1ab021515a0

Aliases

arxiv: 1902.01144 · arxiv_version: 1902.01144v5 · doi: 10.48550/arxiv.1902.01144 · pith_short_12: 5ULVYMDJ45SD · pith_short_16: 5ULVYMDJ45SDPMKS · pith_short_8: 5ULVYMDJ

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/5ULVYMDJ45SDPMKSHRJZNBKMGA \
  | 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: ed175c3069e76437b1523c5396854c3025cc241a3e6455994248f1ab021515a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc3cf02611c18024ac8f14956809c562ac7c7f42709a0765c7d375c9b18ebb10",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-02-04T12:14:52Z",
    "title_canon_sha256": "f1d4b1adfe28ebf599b6762ae49f3f7c4ed14c3ee0db9dfe7bcb99db372ca308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01144",
    "kind": "arxiv",
    "version": 5
  }
}