Pith Number

pith:4K6PRJEU

pith:2026:4K6PRJEUUWLUNON7AW4ZYI5YMY

not attested not anchored not stored refs pending

Computing Joins in the Weak Order of Type B Coxeter Groups: an Algorithmic Approach

Lorenzo Perrone, Riccardo Biagioli

arxiv:2606.13154 v1 · 2026-06-11 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K6PRJEUUWLUNON7AW4ZYI5YMY}

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	2026-06-12T01:09:43.791779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2bcf8a494a59746b9bf05b99c23b8661375c4d7eb2ef32e941942ba19571556

Aliases

arxiv: 2606.13154 · arxiv_version: 2606.13154v1 · doi: 10.48550/arxiv.2606.13154 · pith_short_12: 4K6PRJEUUWLU · pith_short_16: 4K6PRJEUUWLUNON7 · pith_short_8: 4K6PRJEU

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/4K6PRJEUUWLUNON7AW4ZYI5YMY \
  | 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: e2bcf8a494a59746b9bf05b99c23b8661375c4d7eb2ef32e941942ba19571556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6947f4ee8f28fc8c6d462018bc73af78c16918acab7559dc19c3a6b5fcad55f9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-11T10:27:01Z",
    "title_canon_sha256": "1e8813e1b3c6df9bad59620c03dbf3501f4e4b39fc4ed08232b2b84d1dba8306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13154",
    "kind": "arxiv",
    "version": 1
  }
}