Pith Number

pith:W5H33CXM

pith:2013:W5H33CXMJ6TZCWH3L36OREKALU

not attested not anchored not stored refs pending

Reflection factorizations of Singer cycles

Dennis Stanton, Joel Brewster Lewis, Victor Reiner

arxiv:1308.1468 v2 · 2013-08-07 · 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{W5H33CXMJ6TZCWH3L36OREKALU}

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	2026-05-18T01:30:15.722004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b74fbd8aec4fa79158fb5efce891405d216b84eac3d9b3548cce6f43271eecc9

Aliases

arxiv: 1308.1468 · arxiv_version: 1308.1468v2 · doi: 10.48550/arxiv.1308.1468 · pith_short_12: W5H33CXMJ6TZ · pith_short_16: W5H33CXMJ6TZCWH3 · pith_short_8: W5H33CXM

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/W5H33CXMJ6TZCWH3L36OREKALU \
  | 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: b74fbd8aec4fa79158fb5efce891405d216b84eac3d9b3548cce6f43271eecc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d61421cbf6b7b9949ccea6d6f29643f15773afa641efe2db13aea681b8069feb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-07T03:01:33Z",
    "title_canon_sha256": "21e3f6c7b738e6cfaf2e2d6c87be315928bae4c82127cda8857498b25eea9d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1468",
    "kind": "arxiv",
    "version": 2
  }
}