Pith Number

pith:U73E6HE7

pith:2018:U73E6HE7S6LUQN62P2OIMPFYIS

not attested not anchored not stored refs pending

R2-based Hypervolume Contribution Approximation

Hisao Ishibuchi, Ke Shang, Xizi Ni

arxiv:1805.06773 v3 · 2018-05-15 · 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{U73E6HE7S6LUQN62P2OIMPFYIS}

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	2026-05-17T23:49:22.484721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f64f1c9f97974837da7e9c863cb844adce5f4a086761e4d34ffe3e933637af

Aliases

arxiv: 1805.06773 · arxiv_version: 1805.06773v3 · doi: 10.48550/arxiv.1805.06773 · pith_short_12: U73E6HE7S6LU · pith_short_16: U73E6HE7S6LUQN62 · pith_short_8: U73E6HE7

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/U73E6HE7S6LUQN62P2OIMPFYIS \
  | 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: a7f64f1c9f97974837da7e9c863cb844adce5f4a086761e4d34ffe3e933637af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22c129f788906c1a1aeb6366073a3b26b5ef1f3441679dce51d854c7df8082f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-15T07:57:04Z",
    "title_canon_sha256": "68dd2314d4d470f9d98268abbf5b1395ee7c21623e2d4581f4debb84cda255f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06773",
    "kind": "arxiv",
    "version": 3
  }
}