Pith Number

pith:NIZTTHUB

pith:2012:NIZTTHUBSJSFZF757AHTEEPZZE

not attested not anchored not stored refs pending

A space efficient streaming algorithm for triangle counting using the birthday paradox

Ali Pinar, C. Seshadhri, Madhav Jha

arxiv:1212.2264 v3 · 2012-12-11 · cs.DS · cs.DM · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIZTTHUBSJSFZF757AHTEEPZZE}

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	2026-05-18T03:05:35.757600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a33399e8192645c97fdf80f3211f9c9317ea4bde060dbef4b7a8935971e7d67

Aliases

arxiv: 1212.2264 · arxiv_version: 1212.2264v3 · doi: 10.48550/arxiv.1212.2264 · pith_short_12: NIZTTHUBSJSF · pith_short_16: NIZTTHUBSJSFZF75 · pith_short_8: NIZTTHUB

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/NIZTTHUBSJSFZF757AHTEEPZZE \
  | 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: 6a33399e8192645c97fdf80f3211f9c9317ea4bde060dbef4b7a8935971e7d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff231099d28d97401b660b45ea88a0c860bd91ca3fe979349fb9fa5486c4685",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-12-11T01:02:12Z",
    "title_canon_sha256": "a252f1c62af6d9c2b81124c58c512ebe84ee5befcbaa4d6f550c11ea38660c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2264",
    "kind": "arxiv",
    "version": 3
  }
}