Pith Number

pith:KI5XVMI6

pith:2014:KI5XVMI6TCEOFEQLQXXNPIJOO6

not attested not anchored not stored refs pending

Triangles in cartesian squares of quasirandom groups

Donald Robertson, Pavel Zorin-Kranich, Vitaly Bergelson

arxiv:1410.5385 v2 · 2014-10-20 · math.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{KI5XVMI6TCEOFEQLQXXNPIJOO6}

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	2026-05-18T00:21:38.099381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

523b7ab11e9888e2920b85eed7a12e77948ada99b57716d0a78ccdeb2490ff35

Aliases

arxiv: 1410.5385 · arxiv_version: 1410.5385v2 · doi: 10.48550/arxiv.1410.5385 · pith_short_12: KI5XVMI6TCEO · pith_short_16: KI5XVMI6TCEOFEQL · pith_short_8: KI5XVMI6

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/KI5XVMI6TCEOFEQLQXXNPIJOO6 \
  | 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: 523b7ab11e9888e2920b85eed7a12e77948ada99b57716d0a78ccdeb2490ff35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dae3a175d773dc713a5e2e62bcb7ce67821305bb25f4c1f7a387a3e7be0ed92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-20T18:45:22Z",
    "title_canon_sha256": "79df7468b0b8d385ba42a694d0672ba9411846b4d7961f4d1e1cc3c860c88991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5385",
    "kind": "arxiv",
    "version": 2
  }
}