Pith Number

pith:ZQJQDZ5V

pith:2024:ZQJQDZ5VR3NEQLGUIKGDNCFNAD

not attested not anchored not stored refs pending

Combinatorics of graded module categories over skew polynomial algebras at roots of unity

Akihiro Higashitani, Kenta Ueyama

arxiv:2409.10904 v4 · 2024-09-17 · math.RA · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQJQDZ5VR3NEQLGUIKGDNCFNAD}

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	2026-07-05T10:25:10.072365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1301e7b58eda482cd4428c3688ad00c13c458ad9786b173bebb41150576cf8

Aliases

arxiv: 2409.10904 · arxiv_version: 2409.10904v4 · doi: 10.48550/arxiv.2409.10904 · pith_short_12: ZQJQDZ5VR3NE · pith_short_16: ZQJQDZ5VR3NEQLGU · pith_short_8: ZQJQDZ5V

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/ZQJQDZ5VR3NEQLGUIKGDNCFNAD \
  | 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: cc1301e7b58eda482cd4428c3688ad00c13c458ad9786b173bebb41150576cf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e09eb082a41ba67607bb7be12e98d7324dbf1ff9892f478d62bbb5b671595213",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-09-17T05:46:57Z",
    "title_canon_sha256": "c2e9b36f77a2c2d668e5882f974e14a8f6283777f8f5fb14eb896ea714d8f4cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.10904",
    "kind": "arxiv",
    "version": 4
  }
}