Pith Number

pith:UXTZQEF3

pith:2023:UXTZQEF3PEZL6BICXQF4Y64U5X

not attested not anchored not stored refs pending

Barzilai-Borwein Descent Methods for Multiobjective Optimization Problems with Variable Trade-off Metrics

Jian Chen, Liping Tang, Xinmin Yang

arxiv:2309.06929 v1 · 2023-09-13 · 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{UXTZQEF3PEZL6BICXQF4Y64U5X}

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	2026-07-05T06:50:24.336968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e79810bb7932bf0502bc0bcc7b94edf964d8ecac51f759beb839751aece656

Aliases

arxiv: 2309.06929 · arxiv_version: 2309.06929v1 · doi: 10.48550/arxiv.2309.06929 · pith_short_12: UXTZQEF3PEZL · pith_short_16: UXTZQEF3PEZL6BIC · pith_short_8: UXTZQEF3

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/UXTZQEF3PEZL6BICXQF4Y64U5X \
  | 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: a5e79810bb7932bf0502bc0bcc7b94edf964d8ecac51f759beb839751aece656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "821dd1a304ce61c4777f143aca01a6610544f56e0af760104d3bf73003eb79af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-09-13T13:02:15Z",
    "title_canon_sha256": "3a5f63f1e31eb2dc183125fd8809418c17e9d3f4f5b8f3438be9e8770b402445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.06929",
    "kind": "arxiv",
    "version": 1
  }
}