Pith Number

pith:U4JKBJA2

pith:2026:U4JKBJA2CJRFWAMYGYWCG66KTE

not attested not anchored not stored refs pending

A Benders Decomposition Approach for the k-Defensive Domination Problem

Bilge Varol, K\"ubra Tan{\i}nm{\i}\c{s}, T{\i}naz Ekim

arxiv:2605.17982 v1 · 2026-05-18 · 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{U4JKBJA2CJRFWAMYGYWCG66KTE}

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	2026-05-20T00:05:09.439507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a712a0a41a12625b0198362c237bca990dc9af9bd6743c4fd94ee331d0e97258

Aliases

arxiv: 2605.17982 · arxiv_version: 2605.17982v1 · doi: 10.48550/arxiv.2605.17982 · pith_short_12: U4JKBJA2CJRF · pith_short_16: U4JKBJA2CJRFWAMY · pith_short_8: U4JKBJA2

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/U4JKBJA2CJRFWAMYGYWCG66KTE \
  | 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: a712a0a41a12625b0198362c237bca990dc9af9bd6743c4fd94ee331d0e97258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f0d213370a88d47149259b406571eba004f2d666cf937a36ca14fc11b97436",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-18T07:36:46Z",
    "title_canon_sha256": "e8da1f5464ec05fd59fbcbdc881999cfde147c2092e1a86cff6624cd3a8c1e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17982",
    "kind": "arxiv",
    "version": 1
  }
}