Pith Number

pith:LCZ76F5U

pith:2026:LCZ76F5UH4A4TK7FANG75HXQ3T

not attested not anchored not stored refs pending

A Unified Framework for Gradient Aggregation in Multi-Objective Optimization

Kelvin Ho, Yaoliang Yu, Zeou Hu

arxiv:2605.30452 v1 · 2026-05-28 · cs.LG · cs.AI · 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{LCZ76F5UH4A4TK7FANG75HXQ3T}

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	2026-06-01T01:02:55.054248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b3ff17b43f01c9abe5034dfe9ef0dcf79165e6976515a54cf919a5e35f6dd6

Aliases

arxiv: 2605.30452 · arxiv_version: 2605.30452v1 · doi: 10.48550/arxiv.2605.30452 · pith_short_12: LCZ76F5UH4A4 · pith_short_16: LCZ76F5UH4A4TK7F · pith_short_8: LCZ76F5U

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/LCZ76F5UH4A4TK7FANG75HXQ3T \
  | 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: 58b3ff17b43f01c9abe5034dfe9ef0dcf79165e6976515a54cf919a5e35f6dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fae18331db4a4473c4f2cad26ac0dad88b854cb094a0bec5e59bc78d6147713b",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-28T18:21:53Z",
    "title_canon_sha256": "49c1636e762b25998ccdea9931637d3263bb3bf5e08a0b9382db37c943474597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30452",
    "kind": "arxiv",
    "version": 1
  }
}