Pith Number

pith:SZPNX7SN

pith:2020:SZPNX7SN5XORSPZSZSONASCCPT

not attested not anchored not stored refs pending

On the directions determined by Cartesian products and the clique number of generalized Paley graphs

Chi Hoi Yip

arxiv:2010.01784 v2 · 2020-10-05 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZPNX7SN5XORSPZSZSONASCCPT}

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	2026-07-05T02:37:56.372656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

965edbfe4deddd193f32cc9cd048427cf0576d6043132da2a3f0c639f317897c

Aliases

arxiv: 2010.01784 · arxiv_version: 2010.01784v2 · doi: 10.48550/arxiv.2010.01784 · pith_short_12: SZPNX7SN5XOR · pith_short_16: SZPNX7SN5XORSPZS · pith_short_8: SZPNX7SN

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/SZPNX7SN5XORSPZSZSONASCCPT \
  | 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: 965edbfe4deddd193f32cc9cd048427cf0576d6043132da2a3f0c639f317897c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "899cd6925171b22ddbb57950310ca2e8c953a8cc72d0117d496a0cf441ce65d0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-05T05:12:10Z",
    "title_canon_sha256": "9983798cc0e0f71c5f835669ea47870ba9f6fc50324001f482fa5c8e5c5c2ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.01784",
    "kind": "arxiv",
    "version": 2
  }
}