Pith Number

pith:XQQNJYGU

pith:2016:XQQNJYGUVNG2CIMAUNN4PPN6PM

not attested not anchored not stored refs pending

O(f) Bi-Approximation for Capacitated Covering with Hard Capacities

D.T. Lee, Hai-Lun Tu, Mong-Jen Kao

arxiv:1609.02640 v1 · 2016-09-09 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQQNJYGUVNG2CIMAUNN4PPN6PM}

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	2026-05-18T01:04:52.911080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc20d4e0d4ab4da12180a35bc7bdbe7b06251a41b8ab74dd0957b8930b1dbe76

Aliases

arxiv: 1609.02640 · arxiv_version: 1609.02640v1 · doi: 10.48550/arxiv.1609.02640 · pith_short_12: XQQNJYGUVNG2 · pith_short_16: XQQNJYGUVNG2CIMA · pith_short_8: XQQNJYGU

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/XQQNJYGUVNG2CIMAUNN4PPN6PM \
  | 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: bc20d4e0d4ab4da12180a35bc7bdbe7b06251a41b8ab74dd0957b8930b1dbe76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9193378356f2b961d0813d91969a06159eaf03d53ce086b2941b9272141e6f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-09-09T02:20:45Z",
    "title_canon_sha256": "e3577fe612f1714019154197501c71ae125de8f6c390c9fe23b53e18fc108226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02640",
    "kind": "arxiv",
    "version": 1
  }
}