Pith Number

pith:PEVFN4MR

pith:2026:PEVFN4MRGWQ5UIRVKIBSLNIHRT

not attested not anchored not stored refs pending

On the convergence of doubly stochastic Primal-Dual Hybrid Gradient Method

Huikang Liu, Yiheng Xiao

arxiv:2605.17883 v1 · 2026-05-18 · 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{PEVFN4MRGWQ5UIRVKIBSLNIHRT}

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	2026-05-20T00:05:03.535543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792a56f19135a1da2235520325b5078cdf1f75790ecabf3b22990cea9a5df605

Aliases

arxiv: 2605.17883 · arxiv_version: 2605.17883v1 · doi: 10.48550/arxiv.2605.17883 · pith_short_12: PEVFN4MRGWQ5 · pith_short_16: PEVFN4MRGWQ5UIRV · pith_short_8: PEVFN4MR

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/PEVFN4MRGWQ5UIRVKIBSLNIHRT \
  | 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: 792a56f19135a1da2235520325b5078cdf1f75790ecabf3b22990cea9a5df605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3736ee59f5360c645ad8e48a95e4c4fb304af61a8dddb7d4408a56bd0f355d41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-18T05:43:50Z",
    "title_canon_sha256": "01a2834cfcb7e153496b8913b1e4b60fc8a896ff5621f8bfdac168e091abdc7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17883",
    "kind": "arxiv",
    "version": 1
  }
}