Pith Number

pith:E7IGU6Z4

pith:2018:E7IGU6Z46VLYKHBHZZAVWUZHY5

not attested not anchored not stored refs pending

Bezier Simplex Fitting: Describing Pareto Fronts of Simplicial Problems with Small Samples in Multi-objective Optimization

Akinori Tanaka, Akiyoshi Sannai, Kenichi Bannai, Ken Kobayashi, Masashi Sugiyama, Naoki Hamada

arxiv:1812.05222 v1 · 2018-12-13 · 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{E7IGU6Z46VLYKHBHZZAVWUZHY5}

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	2026-05-17T23:58:24.122177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d06a7b3cf557851c27ce415b5327c744ed5633c51056615b394fcb228579b9

Aliases

arxiv: 1812.05222 · arxiv_version: 1812.05222v1 · doi: 10.48550/arxiv.1812.05222 · pith_short_12: E7IGU6Z46VLY · pith_short_16: E7IGU6Z46VLYKHBH · pith_short_8: E7IGU6Z4

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/E7IGU6Z46VLYKHBHZZAVWUZHY5 \
  | 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: 27d06a7b3cf557851c27ce415b5327c744ed5633c51056615b394fcb228579b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12ca3df38cfde3a4dcf6ed22f8736480d9e6fe9ac8d16c5b2969c2f1daaa492",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-13T01:51:32Z",
    "title_canon_sha256": "fdc4cc37a81a7dbaf762f5e50dffbb4625366177402029bd18a67cfb36eb55ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05222",
    "kind": "arxiv",
    "version": 1
  }
}