Pith Number

pith:L5N276GW

pith:2023:L5N276GW2C6Q2AL5ZC225B4JMO

not attested not anchored not stored refs pending

Bipartite $q$-Kneser graphs and two-generated irreducible linear groups

Alice C. Niemeyer, Cheryl E. Praeger, S.P. Glasby

arxiv:2312.05529 v3 · 2023-12-09 · math.GR · 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{L5N276GW2C6Q2AL5ZC225B4JMO}

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	2026-07-05T10:15:42.458603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5baff8d6d0bd0d017dc8b5ae878963b457ed80931a4e5a4548231a357d0ff2

Aliases

arxiv: 2312.05529 · arxiv_version: 2312.05529v3 · doi: 10.48550/arxiv.2312.05529 · pith_short_12: L5N276GW2C6Q · pith_short_16: L5N276GW2C6Q2AL5 · pith_short_8: L5N276GW

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/L5N276GW2C6Q2AL5ZC225B4JMO \
  | 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: 5f5baff8d6d0bd0d017dc8b5ae878963b457ed80931a4e5a4548231a357d0ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f4e7f0ceeb3a027d47385384b929580c3d93a0103b51bab7eb2a4bda2a1e5b6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-12-09T10:43:01Z",
    "title_canon_sha256": "2cdfe75eabb6829ce089419f72b294abf7b3004dea051b56859d6583397e64e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.05529",
    "kind": "arxiv",
    "version": 3
  }
}