Pith Number

pith:XQGY7XX2

pith:2009:XQGY7XX2MS7ZS3TVIIINZATFL2

not attested not anchored not stored refs pending

The submaximal clones on the three-element set with finitely many relative R-classes

Agnes Szendrei, Erkko Lehtonen

arxiv:0905.1614 v1 · 2009-05-11 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQGY7XX2MS7ZS3TVIIINZATFL2}

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	2026-05-18T00:57:38.787021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0d8fdefa64bf996e754210dc82655ea9e3978ba3b882fccaee1a3441e0dadd

Aliases

arxiv: 0905.1614 · arxiv_version: 0905.1614v1 · doi: 10.48550/arxiv.0905.1614 · pith_short_12: XQGY7XX2MS7Z · pith_short_16: XQGY7XX2MS7ZS3TV · pith_short_8: XQGY7XX2

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/XQGY7XX2MS7ZS3TVIIINZATFL2 \
  | 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: bc0d8fdefa64bf996e754210dc82655ea9e3978ba3b882fccaee1a3441e0dadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a59e39eb68b5da41e7bca3e8939909dd1fb5cb8502acb6e8db9830f4e235ff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-05-11T12:57:16Z",
    "title_canon_sha256": "c41f27692e5f5416c3009ffb262083b329652be0d4b32fe913ebd66b7e2f59e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1614",
    "kind": "arxiv",
    "version": 1
  }
}