Pith Number

pith:XTHZJQRN

pith:2012:XTHZJQRNBGW62GIRYBZPLE3LVX

not attested not anchored not stored refs pending

A characterization of Leonard pairs using the parameters $\{a_i\}_{i=0}^{d}$

Edward Hanson

arxiv:1205.4368 v1 · 2012-05-20 · 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{XTHZJQRNBGW62GIRYBZPLE3LVX}

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	2026-05-18T03:55:13.350101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bccf94c22d09aded1911c072f5936badfdb2ae9c30853d5fb2d27a53f50d59a8

Aliases

arxiv: 1205.4368 · arxiv_version: 1205.4368v1 · doi: 10.48550/arxiv.1205.4368 · pith_short_12: XTHZJQRNBGW6 · pith_short_16: XTHZJQRNBGW62GIR · pith_short_8: XTHZJQRN

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/XTHZJQRNBGW62GIRYBZPLE3LVX \
  | 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: bccf94c22d09aded1911c072f5936badfdb2ae9c30853d5fb2d27a53f50d59a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699e7b0e34d326ee36bb47a39ea8533c4c93bc59ef8daa14e5cd0f20eb15a172",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-05-20T01:51:10Z",
    "title_canon_sha256": "9e189f0c6be2b88f51b457d266f5b7b0d362031a4d0af8886899f5d3d4204dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4368",
    "kind": "arxiv",
    "version": 1
  }
}