Pith Number

pith:LOOVKM64

pith:2026:LOOVKM642IYFHQBXUI5S6E4HHD

not attested not anchored not stored refs pending

Rational Weyl group elements of odd type D

Yaoran Yang, Yutong Zhang

arxiv:2605.20928 v1 · 2026-05-20 · 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{LOOVKM642IYFHQBXUI5S6E4HHD}

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	2026-05-21T01:05:28.631720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9d5533dcd23053c037a23b2f138738d0fa1ea1a615adbaf48420fb1f4c94d8

Aliases

arxiv: 2605.20928 · arxiv_version: 2605.20928v1 · doi: 10.48550/arxiv.2605.20928 · pith_short_12: LOOVKM642IYF · pith_short_16: LOOVKM642IYFHQBX · pith_short_8: LOOVKM64

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/LOOVKM642IYFHQBXUI5S6E4HHD \
  | 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: 5b9d5533dcd23053c037a23b2f138738d0fa1ea1a615adbaf48420fb1f4c94d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e35439bada940c9f35a393d9be0dbc4f5333a5c3d3285948a66051c390019a5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T09:11:42Z",
    "title_canon_sha256": "f666a8a72d7820757e404ffc72aea5894b11692df480cbcf62353fae77eeee28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20928",
    "kind": "arxiv",
    "version": 1
  }
}