Pith Number

pith:MDJYD4KH

pith:2021:MDJYD4KHNJWDQSKJ5DNUV42SUG

not attested not anchored not stored refs pending

Massively Parallel and Dynamic Algorithms for Minimum Size Clustering

Alessandro Epasto, Mohammad Mahdian, Peilin Zhong, Vahab Mirrokni

arxiv:2106.02685 v1 · 2021-06-04 · 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{MDJYD4KHNJWDQSKJ5DNUV42SUG}

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	2026-07-05T02:46:29.056565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d381f1476a6c384949e8db4af352a1b79a2af1aea7a85bf797b443de6b5cc0

Aliases

arxiv: 2106.02685 · arxiv_version: 2106.02685v1 · doi: 10.48550/arxiv.2106.02685 · pith_short_12: MDJYD4KHNJWD · pith_short_16: MDJYD4KHNJWDQSKJ · pith_short_8: MDJYD4KH

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/MDJYD4KHNJWDQSKJ5DNUV42SUG \
  | 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: 60d381f1476a6c384949e8db4af352a1b79a2af1aea7a85bf797b443de6b5cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fad257a01e35c2dfefc74202a41785660c4f1e459a86cdec3e3b05efdb36d97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-06-04T19:49:43Z",
    "title_canon_sha256": "c7f3f6c8142ae879360e6fe245faae8d8e9df0464f0f3714942a9633bb3bab6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02685",
    "kind": "arxiv",
    "version": 1
  }
}