Pith Number

pith:5ZDQJKXI

pith:2025:5ZDQJKXI72R25C47IXTQM6ZRQH

not attested not anchored not stored refs pending

Barzilai-Borwein Diagonal Quasi-Newton Method for Nonconvex Multiobjective Optimization Problems

Hua Liu, Liping Tang, Xinmin Yang, Zhuoxin Fan

arxiv:2512.18348 v2 · 2025-12-20 · 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{5ZDQJKXI72R25C47IXTQM6ZRQH}

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	2026-08-04T02:09:16.857190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4704aae8fea3ae8b9f45e7067b3181f62d07e864c58589978cacb31910b44b

Aliases

arxiv: 2512.18348 · arxiv_version: 2512.18348v2 · doi: 10.48550/arxiv.2512.18348 · pith_short_12: 5ZDQJKXI72R2 · pith_short_16: 5ZDQJKXI72R25C47 · pith_short_8: 5ZDQJKXI

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/5ZDQJKXI72R25C47IXTQM6ZRQH \
  | 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: ee4704aae8fea3ae8b9f45e7067b3181f62d07e864c58589978cacb31910b44b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0ef3a43e71c4b82172efa7db5262b7f105bd9d55107c9881feebcb5a826f3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-12-20T12:25:53Z",
    "title_canon_sha256": "1a662c351bf57e189bcedad3b74299732dab97801829d1ea727927612e5f63e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18348",
    "kind": "arxiv",
    "version": 2
  }
}