Pith Number

pith:QNRKESJA

pith:2015:QNRKESJAZ2UALC5Y5H5YVBX3HB

not attested not anchored not stored refs pending

A greedy algorithm for the minimization of a ratio of same-index element sums from two positive arrays

Alexander Lozovskiy

arxiv:1509.05831 v1 · 2015-09-19 · math.CO · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNRKESJAZ2UALC5Y5H5YVBX3HB}

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	2026-05-18T01:32:36.567811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8362a24920cea8058bb8e9fb8a86fb385b1b1fc8f5fa4900268e3face5b07643

Aliases

arxiv: 1509.05831 · arxiv_version: 1509.05831v1 · doi: 10.48550/arxiv.1509.05831 · pith_short_12: QNRKESJAZ2UA · pith_short_16: QNRKESJAZ2UALC5Y · pith_short_8: QNRKESJA

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/QNRKESJAZ2UALC5Y5H5YVBX3HB \
  | 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: 8362a24920cea8058bb8e9fb8a86fb385b1b1fc8f5fa4900268e3face5b07643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13a627d357ac0d4321834d1e72e3859c0ab2ef51b21bd13b0322e961a91a4aa",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-19T00:38:34Z",
    "title_canon_sha256": "50a6c5d4b17292f1a6ab69aaf101318a9d007fd87199b3ab501f89d469e3469d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05831",
    "kind": "arxiv",
    "version": 1
  }
}