Pith Number

pith:OL55SSDP

pith:2022:OL55SSDPH6UPXA7XGMR3MQ52DO

not attested not anchored not stored refs pending

Hierarchical Clustering in Graph Streams: Single-Pass Algorithms and Space Lower Bounds

Chen Wang, Jakub {\L}\k{a}cki, Sepehr Assadi, Vaggos Chatziafratis, Vahab Mirrokni

arxiv:2206.07554 v1 · 2022-06-15 · 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{OL55SSDPH6UPXA7XGMR3MQ52DO}

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	2026-07-05T04:32:06.230859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72fbd9486f3fa8fb83f73323b643ba1b8b7f1c37003448a29598db461794985e

Aliases

arxiv: 2206.07554 · arxiv_version: 2206.07554v1 · doi: 10.48550/arxiv.2206.07554 · pith_short_12: OL55SSDPH6UP · pith_short_16: OL55SSDPH6UPXA7X · pith_short_8: OL55SSDP

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/OL55SSDPH6UPXA7XGMR3MQ52DO \
  | 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: 72fbd9486f3fa8fb83f73323b643ba1b8b7f1c37003448a29598db461794985e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4de8bd621723a2ccd3bcdf2137ad9d8109f40128137537b29e4eda41d43485e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-06-15T14:14:41Z",
    "title_canon_sha256": "dc0a08fa0a3afe9f2a7ba525ce7d34ff65aead3c08ed21d76ddc9c1078cfc6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07554",
    "kind": "arxiv",
    "version": 1
  }
}