Pith Number

pith:2EHXGRU2

pith:2025:2EHXGRU2RHFTDSITOEETQ46OIC

not attested not anchored not stored refs pending

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity

Chengchang Liu, Jingzhao Zhang, Lesi Chen, Luo Luo

arxiv:2506.08362 v1 · 2025-06-10 · 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{2EHXGRU2RHFTDSITOEETQ46OIC}

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.

Cited by

1 paper in Pith

Stochastic Optimization and Data Science

Receipt and verification

First computed	2026-07-05T11:18:48.554112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d10f73469a89cb31c91371093873ce40b87151633977dae1bceda99a899a2f69

Aliases

arxiv: 2506.08362 · arxiv_version: 2506.08362v1 · doi: 10.48550/arxiv.2506.08362 · pith_short_12: 2EHXGRU2RHFT · pith_short_16: 2EHXGRU2RHFTDSIT · pith_short_8: 2EHXGRU2

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/2EHXGRU2RHFTDSITOEETQ46OIC \
  | 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: d10f73469a89cb31c91371093873ce40b87151633977dae1bceda99a899a2f69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcad092882895b8c29401c73e3eba33c7e0f3efc59898d8e9fe99de3510c9cdd",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-10T02:20:48Z",
    "title_canon_sha256": "cf183407b429bb5a9dcedad1d05dfbdb40cb3dbc7e17d10eaf402aa7aa0bc748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08362",
    "kind": "arxiv",
    "version": 1
  }
}