Pith Number

pith:JM7AKXEF

pith:2026:JM7AKXEF4EMY2RRLOEJSEDWYZA

not attested not anchored not stored refs pending

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

Michael T.M. Emmerich

arxiv:2605.28746 v1 · 2026-05-27 · math.OC · cs.AI · cs.NE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JM7AKXEF4EMY2RRLOEJSEDWYZA}

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

5 papers in Pith

Three-Objective Integral R2 Subset Selection: NP-Hardness and Submodular Approximation

Exact and Fast Subset Selection Algorithms for the Bi-objective Integral R2 Indicator

Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition

Receipt and verification

First computed	2026-05-28T02:05:01.778557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3e055c85e1198d462b7113220ed8c80a0711322b09eb3f3d61c37baffc2b93

Aliases

arxiv: 2605.28746 · arxiv_version: 2605.28746v1 · doi: 10.48550/arxiv.2605.28746 · pith_short_12: JM7AKXEF4EMY · pith_short_16: JM7AKXEF4EMY2RRL · pith_short_8: JM7AKXEF

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/JM7AKXEF4EMY2RRLOEJSEDWYZA \
  | 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: 4b3e055c85e1198d462b7113220ed8c80a0711322b09eb3f3d61c37baffc2b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc1502e30bd43fb83a4ef2a5fda257141e4a539d65c86c4889f7daf38d9c8a8e",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-27T17:02:28Z",
    "title_canon_sha256": "c86203c336b5b166e9a12bff0eb8736b5e31c13381214c2f79c8f8d7b8f327b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28746",
    "kind": "arxiv",
    "version": 1
  }
}