Pith Number

pith:JWVRD3L4

pith:2026:JWVRD3L4ZXFB2CG76Q5N3Y44DD

not attested not anchored not stored refs pending

Mirror Descent on Riemannian Manifolds

Jiaxin Jiang, Jiyuan Tan, Lei Shi

arxiv:2603.17527 v2 · 2026-03-18 · stat.ML · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWVRD3L4ZXFB2CG76Q5N3Y44DD}

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	2026-06-12T01:09:25.120838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dab11ed7ccdca1d08dff43adde39c18da27f4aefdebea3d51b8df57dcf5a8ad

Aliases

arxiv: 2603.17527 · arxiv_version: 2603.17527v2 · doi: 10.48550/arxiv.2603.17527 · pith_short_12: JWVRD3L4ZXFB · pith_short_16: JWVRD3L4ZXFB2CG7 · pith_short_8: JWVRD3L4

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/JWVRD3L4ZXFB2CG76Q5N3Y44DD \
  | 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: 4dab11ed7ccdca1d08dff43adde39c18da27f4aefdebea3d51b8df57dcf5a8ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41a2b2d66f4a1dce6f0cfc230326a61a129ce1e241438e8d3eb2c48f8b06925",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-03-18T09:31:39Z",
    "title_canon_sha256": "a1ad19926979895747f70f30d7310d46b8c5cd6b4f6a5c0d72a1552b975c9e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.17527",
    "kind": "arxiv",
    "version": 2
  }
}