Pith Number

pith:T7NWD73S

pith:2018:T7NWD73SMF5JFZMWTARZ6JI4G2

not attested not anchored not stored refs pending

Testing Graph Clusterability: Algorithms and Lower Bounds

Aida Mousavifar, Ashish Chiplunkar, Michael Kapralov, Sanjeev Khanna, Yuval Peres

arxiv:1808.04807 v2 · 2018-08-14 · 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{T7NWD73SMF5JFZMWTARZ6JI4G2}

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	2026-05-18T00:05:28.058807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fdb61ff72617a92e59698239f251c369bea00b579e13cd1a2cd8ea7c2e2b241

Aliases

arxiv: 1808.04807 · arxiv_version: 1808.04807v2 · doi: 10.48550/arxiv.1808.04807 · pith_short_12: T7NWD73SMF5J · pith_short_16: T7NWD73SMF5JFZMW · pith_short_8: T7NWD73S

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/T7NWD73SMF5JFZMWTARZ6JI4G2 \
  | 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: 9fdb61ff72617a92e59698239f251c369bea00b579e13cd1a2cd8ea7c2e2b241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e162d969688efe2a49a32176aa229f141f1c2ced85074b561491db3f9eb20584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-08-14T17:37:27Z",
    "title_canon_sha256": "594a394725f0a42ff172a39e0a9f1c20bd1b32c17f4d6c94dec1503f3140d81b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04807",
    "kind": "arxiv",
    "version": 2
  }
}