Pith Number

pith:FPA32OAP

pith:2026:FPA32OAPG65DHXDLRY4UGH2WIL

not attested not anchored not stored refs pending

Codes and designs in multivariate $Q$-polynomial association schemes

Jing Wang, Minjia Shi, Patrick Sol\'e

arxiv:2605.17122 v1 · 2026-05-16 · 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{FPA32OAPG65DHXDLRY4UGH2WIL}

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	2026-05-20T00:03:41.047188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc1bd380f37ba33dc6b8e39431f5642efca9fac809ec7b6a81990d36cb2c18d

Aliases

arxiv: 2605.17122 · arxiv_version: 2605.17122v1 · doi: 10.48550/arxiv.2605.17122 · pith_short_12: FPA32OAPG65D · pith_short_16: FPA32OAPG65DHXDL · pith_short_8: FPA32OAP

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/FPA32OAPG65DHXDLRY4UGH2WIL \
  | 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: 2bc1bd380f37ba33dc6b8e39431f5642efca9fac809ec7b6a81990d36cb2c18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eff925437d391c0bc52852fc4c9ef01fa64ba598020a2125cee28d7cbc620af",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-16T19:04:09Z",
    "title_canon_sha256": "e79745c2e4bd46ee4e48ea0d0ace122abc5e9e4b8c7092a5b4639a6e19cfac1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17122",
    "kind": "arxiv",
    "version": 1
  }
}