Pith Number

pith:CQVGSAIT

pith:2026:CQVGSAITXF6HRXTCYJVAEZRQGQ

not attested not anchored not stored refs pending

Second-order Methods for Multiobjective Composite Optimization: Preconditioning Strategies, Subspace Variants and Inexact Solutions

Jian Chen, Xinmin Yang

arxiv:2606.26792 v1 · 2026-06-25 · 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{CQVGSAITXF6HRXTCYJVAEZRQGQ}

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	2026-06-26T01:15:59.836121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142a690113b97c78de62c26a02663034380357340a446a8909d376d0acd7f84a

Aliases

arxiv: 2606.26792 · arxiv_version: 2606.26792v1 · doi: 10.48550/arxiv.2606.26792 · pith_short_12: CQVGSAITXF6H · pith_short_16: CQVGSAITXF6HRXTC · pith_short_8: CQVGSAIT

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/CQVGSAITXF6HRXTCYJVAEZRQGQ \
  | 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: 142a690113b97c78de62c26a02663034380357340a446a8909d376d0acd7f84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7ed8fd0f368a295f13bc8062b8e6a629031e2f70b2aed821a577fbbad2b55d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-25T09:24:47Z",
    "title_canon_sha256": "e9b209cea6eedca0ba67bcfc5234e1417414e7bf3d77bff34a085bd58aa5293d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26792",
    "kind": "arxiv",
    "version": 1
  }
}