Pith Number

pith:HBP6WMR3

pith:2024:HBP6WMR3L4DK5MG5MBZA5Z7GFT

not attested not anchored not stored refs pending

Bivariate $P$- and $Q$-polynomial structures of the association schemes based on attenuated spaces

Luc Vinet, Meri Zaimi, Nicolas Crampe, Pierre-Antoine Bernard, Xiaohong Zhang

arxiv:2405.04586 v1 · 2024-05-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBP6WMR3L4DK5MG5MBZA5Z7GFT}

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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.

Cited by

1 paper in Pith

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme

Receipt and verification

First computed	2026-07-05T08:16:51.086190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385feb323b5f06aeb0dd60720ee7e62cf5feed8b821f3c9ab73192b434a2f19f

Aliases

arxiv: 2405.04586 · arxiv_version: 2405.04586v1 · doi: 10.48550/arxiv.2405.04586 · pith_short_12: HBP6WMR3L4DK · pith_short_16: HBP6WMR3L4DK5MG5 · pith_short_8: HBP6WMR3

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/HBP6WMR3L4DK5MG5MBZA5Z7GFT \
  | 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: 385feb323b5f06aeb0dd60720ee7e62cf5feed8b821f3c9ab73192b434a2f19f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1ae3cd3a6b1bfb99c846d00d50ce083e7a4cb55821c880b2a339e6e4860e76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-07T18:05:47Z",
    "title_canon_sha256": "85a31daa472a4b08fc9c1de57dfd2b290b8ca298a9c555f096b7d9f171413c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.04586",
    "kind": "arxiv",
    "version": 1
  }
}