Pith Number

pith:EAVJ2WZP

pith:2026:EAVJ2WZPALJ4AJTQAOCO7K343G

not attested not anchored not stored refs pending

Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization

Kim-Chuan Toh, Kuangyu Ding

arxiv:2608.07248 v1 · 2026-08-07 · 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{EAVJ2WZPALJ4AJTQAOCO7K343G}

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	2026-08-10T01:14:44.894745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

202a9d5b2f02d3c026700384efab7cd98322cfb7657e3892e4ef8a1d2135dd61

Aliases

arxiv: 2608.07248 · arxiv_version: 2608.07248v1 · doi: 10.48550/arxiv.2608.07248 · pith_short_12: EAVJ2WZPALJ4 · pith_short_16: EAVJ2WZPALJ4AJTQ · pith_short_8: EAVJ2WZP

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/EAVJ2WZPALJ4AJTQAOCO7K343G \
  | 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: 202a9d5b2f02d3c026700384efab7cd98322cfb7657e3892e4ef8a1d2135dd61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0a7529149e1a9a6ae6336d05f486d646a90427e4e356923502d258293007e4",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-07T14:06:54Z",
    "title_canon_sha256": "75ece3bf8700447cd6054431d6bcbd03fc54911cab33505dafe09297bccf360b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07248",
    "kind": "arxiv",
    "version": 1
  }
}