Pith Number

pith:KKRWS76X

pith:2016:KKRWS76XVYPKCK4VBSGXHXKTU7

not attested not anchored not stored refs pending

Approximation Algorithms for Clustering Problems with Lower Bounds and Outliers

Chaitanya Swamy, Sara Ahmadian

arxiv:1608.01700 v3 · 2016-08-04 · 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{KKRWS76XVYPKCK4VBSGXHXKTU7}

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	2026-05-18T01:00:19.100173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a3697fd7ae1ea12b950c8d73dd53a7d43df95c35099c287d1e91b28d13ecb3

Aliases

arxiv: 1608.01700 · arxiv_version: 1608.01700v3 · doi: 10.48550/arxiv.1608.01700 · pith_short_12: KKRWS76XVYPK · pith_short_16: KKRWS76XVYPKCK4V · pith_short_8: KKRWS76X

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/KKRWS76XVYPKCK4VBSGXHXKTU7 \
  | 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: 52a3697fd7ae1ea12b950c8d73dd53a7d43df95c35099c287d1e91b28d13ecb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efed1a7e0fa9f32eed40f0f91fc79344d1f3af9df58b376fbdfb78cba954f9a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-08-04T21:12:49Z",
    "title_canon_sha256": "5570c696cbb597f8674a6475e357a06b39145c7b3e6f61c0907cbfae684b1290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01700",
    "kind": "arxiv",
    "version": 3
  }
}