Pith Number

pith:7WMARFD3

pith:2022:7WMARFD3KEEJCTC2E4IQC5GZBF

not attested not anchored not stored refs pending

A Barzilai-Borwein Descent Method for Multiobjective Optimization Problems

Jian Chen, Liping Tang, Xinmin Yang

arxiv:2204.08616 v1 · 2022-04-19 · 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{7WMARFD3KEEJCTC2E4IQC5GZBF}

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	2026-07-05T04:15:31.923907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9808947b5108914c5a27110174d909684917debdad8249807b7dc0ec0d8717

Aliases

arxiv: 2204.08616 · arxiv_version: 2204.08616v1 · doi: 10.48550/arxiv.2204.08616 · pith_short_12: 7WMARFD3KEEJ · pith_short_16: 7WMARFD3KEEJCTC2 · pith_short_8: 7WMARFD3

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/7WMARFD3KEEJCTC2E4IQC5GZBF \
  | 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: fd9808947b5108914c5a27110174d909684917debdad8249807b7dc0ec0d8717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d88814be411644ab48d424b97b35e4c2054c9cd1f93daabe44660e146b0d73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-04-19T02:34:17Z",
    "title_canon_sha256": "54cee4e94a7a5bfc7f4f40830042d3337f415dc88449e9cd80f3beaa1826e43e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08616",
    "kind": "arxiv",
    "version": 1
  }
}