Pith Number

pith:G7QOVMMI

pith:2018:G7QOVMMIUKOHBYLKGETSPJJ76M

not attested not anchored not stored refs pending

Counting Triangles under Updates in Worst-Case Optimal Time

Ahmet Kara, Dan Olteanu, Haozhe Zhang, Hung Q. Ngo, Milos Nikolic

arxiv:1804.02780 v2 · 2018-04-09 · cs.DB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7QOVMMIUKOHBYLKGETSPJJ76M}

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	2026-05-17T23:50:34.137481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37e0eab188a29c70e16a312727a53ff316bcef14ad66a378216628799c739942

Aliases

arxiv: 1804.02780 · arxiv_version: 1804.02780v2 · doi: 10.48550/arxiv.1804.02780 · pith_short_12: G7QOVMMIUKOH · pith_short_16: G7QOVMMIUKOHBYLK · pith_short_8: G7QOVMMI

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/G7QOVMMIUKOHBYLKGETSPJJ76M \
  | 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: 37e0eab188a29c70e16a312727a53ff316bcef14ad66a378216628799c739942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ec7b73fc5184813d19928ec7c4387f545ed44ffa0e394ec33a1564c4a6a78c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2018-04-09T00:51:11Z",
    "title_canon_sha256": "c3aa69369cd0810df8763485c685cc98934a50a5e501d8b731e72930855f0d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02780",
    "kind": "arxiv",
    "version": 2
  }
}