Pith Number

pith:QDYIK32N

pith:2022:QDYIK32N2YWBCRIILNAL6MU7WN

not attested not anchored not stored refs pending

Riemannian Natural Gradient Methods

Anthony Man-Cho So, Jiang Hu, Minghan Yang, Ruicheng Ao, Zaiwen Wen

arxiv:2207.07287 v1 · 2022-07-15 · math.OC · 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{QDYIK32N2YWBCRIILNAL6MU7WN}

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	2026-07-05T04:40:30.716494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f0856f4dd62c1145085b40bf329fb352dbc09c3df91b87e84b06843b86cdf3

Aliases

arxiv: 2207.07287 · arxiv_version: 2207.07287v1 · doi: 10.48550/arxiv.2207.07287 · pith_short_12: QDYIK32N2YWB · pith_short_16: QDYIK32N2YWBCRII · pith_short_8: QDYIK32N

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/QDYIK32N2YWBCRIILNAL6MU7WN \
  | 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: 80f0856f4dd62c1145085b40bf329fb352dbc09c3df91b87e84b06843b86cdf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8bab07b38926f01fe350b0b742829ab7371a208e49d460ef532858f3b0647e7",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-07-15T04:33:10Z",
    "title_canon_sha256": "26fa5852d0f3ddfce8f9d38c2828193d83367685f983043e608908a6df9877ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07287",
    "kind": "arxiv",
    "version": 1
  }
}