Pith Number

pith:3SKN7FDA

pith:2020:3SKN7FDAQQEMVTVURZUUXENVDE

not attested not anchored not stored refs pending

New merit functions for multiobjective optimization and their properties

Ellen H. Fukuda, Hiroki Tanabe, Nobuo Yamashita

arxiv:2010.09333 v3 · 2020-10-19 · 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{3SKN7FDAQQEMVTVURZUUXENVDE}

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	2026-07-05T09:32:37.939493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc94df94608408caceb48e694b91b51937a73f38068e211ce9425092b400421d

Aliases

arxiv: 2010.09333 · arxiv_version: 2010.09333v3 · doi: 10.48550/arxiv.2010.09333 · pith_short_12: 3SKN7FDAQQEM · pith_short_16: 3SKN7FDAQQEMVTVU · pith_short_8: 3SKN7FDA

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/3SKN7FDAQQEMVTVURZUUXENVDE \
  | 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: dc94df94608408caceb48e694b91b51937a73f38068e211ce9425092b400421d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25c52d2aaa117c939d56465765cbe4a435aa1bb1205619905e006d42071ca2a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-10-19T09:16:43Z",
    "title_canon_sha256": "25068e36871ecb4cba8c91839c343c1c5eeb2632b868c81eb1b297bcd08476aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.09333",
    "kind": "arxiv",
    "version": 3
  }
}