Pith Number

pith:BJAIUTUP

pith:2022:BJAIUTUPVN6ON2VZDQ7U2N2S2T

not attested not anchored not stored refs pending

Rieoptax: Riemannian Optimization in JAX

Andi Han, Bamdev Mishra, Pratik Jawanpuria, Saiteja Utpala

arxiv:2210.04840 v1 · 2022-10-10 · math.OC · cs.LG · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJAIUTUPVN6ON2VZDQ7U2N2S2T}

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	2026-07-05T05:04:57.231342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a408a4e8fab7ce6eab91c3f4d3752d4f316e12333457de294ec1c8a64724495

Aliases

arxiv: 2210.04840 · arxiv_version: 2210.04840v1 · doi: 10.48550/arxiv.2210.04840 · pith_short_12: BJAIUTUPVN6O · pith_short_16: BJAIUTUPVN6ON2VZ · pith_short_8: BJAIUTUP

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/BJAIUTUPVN6ON2VZDQ7U2N2S2T \
  | 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: 0a408a4e8fab7ce6eab91c3f4d3752d4f316e12333457de294ec1c8a64724495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a911f61693b40117cfa2230661a670450adbcef532111293779a8f2f90e8c4a7",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-10-10T16:55:32Z",
    "title_canon_sha256": "03d26b74d7b97adf64738d44e599358fb2c8a98c7bf9668fa2cf5a422108568c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.04840",
    "kind": "arxiv",
    "version": 1
  }
}