Pith Number

pith:L5YQFX2D

pith:2014:L5YQFX2DLTZAFFHRROXK6TTJ6U

not attested not anchored not stored refs pending

The end-parameters of a Leonard pair

Kazumasa Nomura

arxiv:1408.2180 v2 · 2014-08-10 · 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{L5YQFX2DLTZAFFHRROXK6TTJ6U}

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	2026-05-18T02:44:25.351809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7102df435cf20294f18baeaf4e69f51497070dcfcd42adcf9d178e716e90ab

Aliases

arxiv: 1408.2180 · arxiv_version: 1408.2180v2 · doi: 10.48550/arxiv.1408.2180 · pith_short_12: L5YQFX2DLTZA · pith_short_16: L5YQFX2DLTZAFFHR · pith_short_8: L5YQFX2D

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/L5YQFX2DLTZAFFHRROXK6TTJ6U \
  | 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: 5f7102df435cf20294f18baeaf4e69f51497070dcfcd42adcf9d178e716e90ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8169b00b8fb10d581bd5a2de5697b6430437fb9b8bdd6b9451caf881ca2b89ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-08-10T03:22:40Z",
    "title_canon_sha256": "c843c8aa680a6cbc03095bfe919924a0e10c67c07eeff709027dff5778b3d5a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2180",
    "kind": "arxiv",
    "version": 2
  }
}