Pith Number

pith:WOQ66UKZ

pith:2014:WOQ66UKZMMK3H56AIGGKHD3ETI

not attested not anchored not stored refs pending

Approximation algorithms for Capacitated Facility Location Problem with Penalties

Neelima Gupta, Shubham Gupta

arxiv:1408.4944 v4 · 2014-08-21 · 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{WOQ66UKZMMK3H56AIGGKHD3ETI}

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	2026-05-18T02:43:00.254993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3a1ef51596315b3f7c0418ca38f649a03a370d6fdcca39ecba0c9673360def9

Aliases

arxiv: 1408.4944 · arxiv_version: 1408.4944v4 · doi: 10.48550/arxiv.1408.4944 · pith_short_12: WOQ66UKZMMK3 · pith_short_16: WOQ66UKZMMK3H56A · pith_short_8: WOQ66UKZ

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/WOQ66UKZMMK3H56AIGGKHD3ETI \
  | 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: b3a1ef51596315b3f7c0418ca38f649a03a370d6fdcca39ecba0c9673360def9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebee3cc4407a6e4cab9c00d77936d9335c717cec3fe4530ae9d745ac0a893ad2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-08-21T10:42:50Z",
    "title_canon_sha256": "b9da5213171c0f4c340ff0b8e5ed6a4afe6ef1e0384c83025f7f1d88e0eb0204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4944",
    "kind": "arxiv",
    "version": 4
  }
}