Pith Number

pith:BK4BZDZ3

pith:2015:BK4BZDZ3I7YUXRRM6RUS24FBW6

not attested not anchored not stored refs pending

Approximate Spectral Clustering: Efficiency and Guarantees

Kurt Mehlhorn, Pavel Kolev

arxiv:1509.09188 v5 · 2015-09-30 · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BK4BZDZ3I7YUXRRM6RUS24FBW6}

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	2026-05-18T00:09:36.915108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab81c8f3b47f14bc62cf4692d70a1b7a95a293a7bea4be4aaf66cf73b4211fe

Aliases

arxiv: 1509.09188 · arxiv_version: 1509.09188v5 · doi: 10.48550/arxiv.1509.09188 · pith_short_12: BK4BZDZ3I7YU · pith_short_16: BK4BZDZ3I7YUXRRM · pith_short_8: BK4BZDZ3

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/BK4BZDZ3I7YUXRRM6RUS24FBW6 \
  | 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: 0ab81c8f3b47f14bc62cf4692d70a1b7a95a293a7bea4be4aaf66cf73b4211fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09fec0f492ea97ce2238830a59cc557cbae9ea3794d1cfa6d288ccd2af73f271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-09-30T14:20:44Z",
    "title_canon_sha256": "f13ee0b33a4c0b6efd6ae09d036bc4873231063e9d977999f3096ffb60631d21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09188",
    "kind": "arxiv",
    "version": 5
  }
}