Pith Number

pith:WTJHW27G

pith:2025:WTJHW27GVIBTOT7IE4OXOB5CR7

not attested not anchored not stored refs pending

A Multi-Objective Optimization framework for Decentralized Learning with coordination constraints

Roberto Morales, Umberto Biccari

arxiv:2507.13983 v1 · 2025-07-18 · 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{WTJHW27GVIBTOT7IE4OXOB5CR7}

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.

Cited by

1 paper in Pith

Fairness-Aware Federated Learning with Trajectory Shapley Value

Receipt and verification

First computed	2026-07-05T11:39:26.486758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d27b6be6aa03374fe8271d7707a28ff4e4f0bcfd16a3a0ef97a05c36f45ff8

Aliases

arxiv: 2507.13983 · arxiv_version: 2507.13983v1 · doi: 10.48550/arxiv.2507.13983 · pith_short_12: WTJHW27GVIBT · pith_short_16: WTJHW27GVIBTOT7I · pith_short_8: WTJHW27G

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/WTJHW27GVIBTOT7IE4OXOB5CR7 \
  | 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: b4d27b6be6aa03374fe8271d7707a28ff4e4f0bcfd16a3a0ef97a05c36f45ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae80936ea02b2a6a3efa1de7e0f5e0a1723e84e5403f877f974ec819f100fc83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-18T14:45:20Z",
    "title_canon_sha256": "37e2faad412a3f106cbf1a51b59f02009771195de2e24d856ed4a16333280679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13983",
    "kind": "arxiv",
    "version": 1
  }
}