Pith Number

pith:MMCZ2JWV

pith:2024:MMCZ2JWVPU2PYTTTYKTI4B2YZL

not attested not anchored not stored refs pending

Gradient-based algorithms for multi-objective bi-level optimization

Haian Yin, Jin Zhang, Shangzhi Zeng, Wei Yao, Xinmin Yang

arxiv:2406.05455 v1 · 2024-06-08 · 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{MMCZ2JWVPU2PYTTTYKTI4B2YZL}

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	2026-07-05T08:29:06.038987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63059d26d57d34fc4e73c2a68e0758cac6f22434aaa14f810add31416c2e085f

Aliases

arxiv: 2406.05455 · arxiv_version: 2406.05455v1 · doi: 10.48550/arxiv.2406.05455 · pith_short_12: MMCZ2JWVPU2P · pith_short_16: MMCZ2JWVPU2PYTTT · pith_short_8: MMCZ2JWV

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/MMCZ2JWVPU2PYTTTYKTI4B2YZL \
  | 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: 63059d26d57d34fc4e73c2a68e0758cac6f22434aaa14f810add31416c2e085f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2065c36651860308c70100aa31caaac2fe8e19d57197baa011d5442af2bf3b56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-06-08T12:25:09Z",
    "title_canon_sha256": "1479fbd49da8412f894789b2e9b859dec476878c94a7fdaeef4f03a24f958993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.05455",
    "kind": "arxiv",
    "version": 1
  }
}