Pith Number

pith:B54VWAM6

pith:2026:B54VWAM6Z4CJR3WA442FQ33FLY

not attested not anchored not stored refs pending

A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems

Jin Zhang, Lvgang Zhang, Shangzhi Zeng, Yongcun Song

arxiv:2601.04120 v2 · 2026-01-07 · 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{B54VWAM6Z4CJR3WA442FQ33FLY}

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	2026-06-03T01:05:47.459505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f795b019ecf0498eec0e734586f655e0eb7a80932174552d2a6a1d90bb95da0

Aliases

arxiv: 2601.04120 · arxiv_version: 2601.04120v2 · doi: 10.48550/arxiv.2601.04120 · pith_short_12: B54VWAM6Z4CJ · pith_short_16: B54VWAM6Z4CJR3WA · pith_short_8: B54VWAM6

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/B54VWAM6Z4CJR3WA442FQ33FLY \
  | 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: 0f795b019ecf0498eec0e734586f655e0eb7a80932174552d2a6a1d90bb95da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f3330102e25ef17b9e6b6a61e5d390117d8f328dfae3863b0d494a1dd594c9f",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-01-07T17:30:42Z",
    "title_canon_sha256": "cc73f97e4e8d1f7849dcbe431b5fcd2de115f881b7bf075012323a34fb81c20a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04120",
    "kind": "arxiv",
    "version": 2
  }
}