Pith Number

pith:DHLCAQHH

pith:2013:DHLCAQHH4ITKXH4BYDBMIKVUTP

not attested not anchored not stored refs pending

Integrality gaps for strengthened LP relaxations of Capacitated and Lower-Bounded Facility Location

Stavros G. Kolliopoulos, Yannis Moysoglou

arxiv:1305.5998 v2 · 2013-05-26 · 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{DHLCAQHH4ITKXH4BYDBMIKVUTP}

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	2026-05-18T03:18:07.882857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d62040e7e226ab9f81c0c2c42ab49bfea97a9cb37e3a1918eb129b1e51e38d

Aliases

arxiv: 1305.5998 · arxiv_version: 1305.5998v2 · doi: 10.48550/arxiv.1305.5998 · pith_short_12: DHLCAQHH4ITK · pith_short_16: DHLCAQHH4ITKXH4B · pith_short_8: DHLCAQHH

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/DHLCAQHH4ITKXH4BYDBMIKVUTP \
  | 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: 19d62040e7e226ab9f81c0c2c42ab49bfea97a9cb37e3a1918eb129b1e51e38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfdc511ab5a4d02358e603a99e222898c5702ff9e4ae22f269e9574c7414b77e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-05-26T07:29:08Z",
    "title_canon_sha256": "0b6edad057bfc29393ad48196f4dcc97de19decfc0b249847749eaab2b82a30d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5998",
    "kind": "arxiv",
    "version": 2
  }
}