Pith Number

pith:QIZC3PAQ

pith:2026:QIZC3PAQDUS25QGK3MQLIJ3K6Y

not attested not anchored not stored refs pending

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm

Gabriele Eichfelder, Margherita Porcelli, Marianna De Santis

arxiv:2602.05893 v2 · 2026-02-05 · 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{QIZC3PAQDUS25QGK3MQLIJ3K6Y}

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	2026-07-01T01:17:46.771772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82322dbc101d25aec0cadb20b4276af61f6427c3b12d300d7f63161a090f6db8

Aliases

arxiv: 2602.05893 · arxiv_version: 2602.05893v2 · doi: 10.48550/arxiv.2602.05893 · pith_short_12: QIZC3PAQDUS2 · pith_short_16: QIZC3PAQDUS25QGK · pith_short_8: QIZC3PAQ

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/QIZC3PAQDUS25QGK3MQLIJ3K6Y \
  | 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: 82322dbc101d25aec0cadb20b4276af61f6427c3b12d300d7f63161a090f6db8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25cc7a6e11a03c9058530e35d53ff1ff4cd2799d8b7571ab0b52eb13c5f745ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-02-05T17:12:20Z",
    "title_canon_sha256": "1f46caf243316bbf2c598ae35d4e410fb1c1f28e0f3c71210cf295b0bf591445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05893",
    "kind": "arxiv",
    "version": 2
  }
}