Pith Number

pith:M52OTN3T

pith:2023:M52OTN3TJSJPWGMCUYGLD7KSWI

not attested not anchored not stored refs pending

Conjugate gradient methods without line search for multiobjective optimization

Liping Tang, Wang Chen, Xinmin Yang, Yong Zhao

arxiv:2312.02461 v3 · 2023-12-05 · 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{M52OTN3TJSJPWGMCUYGLD7KSWI}

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	2026-07-05T09:19:25.304776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6774e9b7734c92fb1982a60cb1fd52b2259cffffd55a4af304c7a2e8a0a44061

Aliases

arxiv: 2312.02461 · arxiv_version: 2312.02461v3 · doi: 10.48550/arxiv.2312.02461 · pith_short_12: M52OTN3TJSJP · pith_short_16: M52OTN3TJSJPWGMC · pith_short_8: M52OTN3T

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/M52OTN3TJSJPWGMCUYGLD7KSWI \
  | 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: 6774e9b7734c92fb1982a60cb1fd52b2259cffffd55a4af304c7a2e8a0a44061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83389c4edf8ba2c8e9e440a9f78662c6ded2b5066e52ce2c43a1d87056993f3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-12-05T03:23:36Z",
    "title_canon_sha256": "5fb868befca71c7d84e9acb2661cf01d1289c90b4d4b0904f63a100ba7821abe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.02461",
    "kind": "arxiv",
    "version": 3
  }
}