Pith Number

pith:KTX3EX2O

pith:2026:KTX3EX2OY6PAAMMAFLUFNMKBCK

not attested not anchored not stored refs pending

Stochastic Dynamic Barrier Perturbed Gradient Methods for Nonconvex Simple Bilevel Optimization

Aryan Mokhtari, Erfan Yazdandoost Hamedani, Jincheng Cao, Mohammad Mahdi Ahmadi

arxiv:2607.10957 v1 · 2026-07-12 · 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{KTX3EX2OY6PAAMMAFLUFNMKBCK}

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	2026-07-14T01:21:49.503348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54efb25f4ec79e0031802ae856b14112911e30392358994649e9c1560c00bbd6

Aliases

arxiv: 2607.10957 · arxiv_version: 2607.10957v1 · doi: 10.48550/arxiv.2607.10957 · pith_short_12: KTX3EX2OY6PA · pith_short_16: KTX3EX2OY6PAAMMA · pith_short_8: KTX3EX2O

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/KTX3EX2OY6PAAMMAFLUFNMKBCK \
  | 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: 54efb25f4ec79e0031802ae856b14112911e30392358994649e9c1560c00bbd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9971e3211cdd9add9ca75440c91cffa212817cf57da1561dcfa9849c2e06bf47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-12T23:23:02Z",
    "title_canon_sha256": "b5d5fec6e7132c75657a10ab9ad119b261c0643ae1985218e4c003e8c6006039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10957",
    "kind": "arxiv",
    "version": 1
  }
}