Pith Number

pith:LXLHBO4C

pith:2016:LXLHBO4CBABCAEHICNTSNTVRVD

not attested not anchored not stored refs pending

Clustering with Capacity and Size Constraints: A Deterministic Approach

Mayank Baranwal, Srinivasa M. Salapaka

arxiv:1606.06427 v1 · 2016-06-21 · 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{LXLHBO4CBABCAEHICNTSNTVRVD}

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	2026-05-18T01:12:09.609745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dd670bb8208022010e8136726ceb1a8fd6438ada5a21ece6b76cd47aca38c3f

Aliases

arxiv: 1606.06427 · arxiv_version: 1606.06427v1 · doi: 10.48550/arxiv.1606.06427 · pith_short_12: LXLHBO4CBABC · pith_short_16: LXLHBO4CBABCAEHI · pith_short_8: LXLHBO4C

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/LXLHBO4CBABCAEHICNTSNTVRVD \
  | 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: 5dd670bb8208022010e8136726ceb1a8fd6438ada5a21ece6b76cd47aca38c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c6d746373571e5a32f717fafe17dfb44a615cd509048788992a4f3094bd4dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-06-21T05:18:00Z",
    "title_canon_sha256": "f8b378cbcc81bff2cc0b75a5a0841db9eb26615319125047692d7e50195ca41a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06427",
    "kind": "arxiv",
    "version": 1
  }
}