Pith Number

pith:5PJ5KSM7

pith:2025:5PJ5KSM7HPMTJLLQ4EPU2EMBXV

not attested not anchored not stored refs pending

Some calculations of centralizer rings of a complex reflection group

Manabu Oura, Masashi Kosuda, Sarbaini

arxiv:2507.20521 v1 · 2025-07-28 · 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{5PJ5KSM7HPMTJLLQ4EPU2EMBXV}

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	2026-07-05T11:44:20.933397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd3d5499f3bd934ad70e11f4d1181bd427411f63cc8787fe07bb2dd9ae344ed

Aliases

arxiv: 2507.20521 · arxiv_version: 2507.20521v1 · doi: 10.48550/arxiv.2507.20521 · pith_short_12: 5PJ5KSM7HPMT · pith_short_16: 5PJ5KSM7HPMTJLLQ · pith_short_8: 5PJ5KSM7

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/5PJ5KSM7HPMTJLLQ4EPU2EMBXV \
  | 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: ebd3d5499f3bd934ad70e11f4d1181bd427411f63cc8787fe07bb2dd9ae344ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79488470f9268a242efa74d6a390e545b020577c34b54aa7ce3022525be1ac9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-28T05:09:41Z",
    "title_canon_sha256": "6e01ae212259e0b7666893642889d19b9be9c8b56e4ee223d60c22256bc3336a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20521",
    "kind": "arxiv",
    "version": 1
  }
}