Pith. sign in
Pith Number

pith:6SPZZBGW

pith:2023:6SPZZBGWUQ3SDVNDU2A42WRC4Q
not attested not anchored not stored refs pending

The geometry of permutation modules

Martin Gallauer, Paul Balmer

arxiv:2307.04398 v2 · 2023-07-10 · math.RT · math.CT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6SPZZBGWUQ3SDVNDU2A42WRC4Q}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T11:40:29.309357Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f49f9c84d6a43721d5a3a681cd5a22e403ab716047e1691277aaf1108085c876

Aliases

arxiv: 2307.04398 · arxiv_version: 2307.04398v2 · doi: 10.48550/arxiv.2307.04398 · pith_short_12: 6SPZZBGWUQ3S · pith_short_16: 6SPZZBGWUQ3SDVND · pith_short_8: 6SPZZBGW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6SPZZBGWUQ3SDVNDU2A42WRC4Q \
  | 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: f49f9c84d6a43721d5a3a681cd5a22e403ab716047e1691277aaf1108085c876
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "806811f492f7b003df58f63d30193861b098063a43c8e86be3b9c22c657c5178",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-07-10T07:59:50Z",
    "title_canon_sha256": "4f5b9a972e67ca4c3b681fdc70c33be460d206d946823f3d67a8bcee4107b63c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04398",
    "kind": "arxiv",
    "version": 2
  }
}