Pith Number

pith:XJKMEBKW

pith:2015:XJKMEBKWNDW2DYVOFS34UYIYQ6

not attested not anchored not stored refs pending

Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Holder constants

Daniela Lera, Yaroslav D. Sergeyev

arxiv:1509.03590 v1 · 2015-09-11 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJKMEBKWNDW2DYVOFS34UYIYQ6}

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	2026-05-18T01:33:17.397901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba54c2055668eda1e2ae2cb7ca611887a0f72aa3f7377f241b9889d242daedae

Aliases

arxiv: 1509.03590 · arxiv_version: 1509.03590v1 · doi: 10.48550/arxiv.1509.03590 · pith_short_12: XJKMEBKWNDW2 · pith_short_16: XJKMEBKWNDW2DYVO · pith_short_8: XJKMEBKW

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/XJKMEBKWNDW2DYVOFS34UYIYQ6 \
  | 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: ba54c2055668eda1e2ae2cb7ca611887a0f72aa3f7377f241b9889d242daedae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384ba70f94c4cf403f2b064526c4c4b39d2dd1f31a797c70f598282e1c819e42",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-11T17:44:38Z",
    "title_canon_sha256": "cb5750872a59865c1bf87a0f29b178586c531af7bc55501d9b7b13c9b35e9000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03590",
    "kind": "arxiv",
    "version": 1
  }
}