Pith Number

pith:VHR6C7VW

pith:2026:VHR6C7VW5SFA3INWLSNAVOIM7I

not attested not anchored not stored refs pending

Perfect codes in weakly metric association schemes

Jing Wang, Minjia Shi, Patrick Sol\'e

arxiv:2601.12818 v2 · 2026-01-19 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHR6C7VW5SFA3INWLSNAVOIM7I}

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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

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

Receipt and verification

First computed	2026-06-02T02:04:49.981759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e3e17eb6ec8a0da1b65c9a0ab90cfa1d5aa33316d2344299cda7b33812f2d6

Aliases

arxiv: 2601.12818 · arxiv_version: 2601.12818v2 · doi: 10.48550/arxiv.2601.12818 · pith_short_12: VHR6C7VW5SFA · pith_short_16: VHR6C7VW5SFA3INW · pith_short_8: VHR6C7VW

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/VHR6C7VW5SFA3INWLSNAVOIM7I \
  | 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: a9e3e17eb6ec8a0da1b65c9a0ab90cfa1d5aa33316d2344299cda7b33812f2d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce522818880e0c43b6b45785284dd5ea229fe7d3ddff9a52aed2ddd9e6a4a3d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-01-19T08:24:35Z",
    "title_canon_sha256": "af7484535667d85b0268143ae5c5054d0ea9478021ccdb6312fc60afec72f3dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.12818",
    "kind": "arxiv",
    "version": 2
  }
}