Pith Number

pith:SDPTC2ZS

pith:2009:SDPTC2ZSBDKJWDI7WP74XKDNQ2

not attested not anchored not stored refs pending

Wreath Product Generalizations of the Triple $(S_{2n},H_{n},\phi)$ and Their Spherical Functions

Hiroshi Mizukawa

arxiv:0908.3056 v2 · 2009-08-21 · math.RT · 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{SDPTC2ZSBDKJWDI7WP74XKDNQ2}

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	2026-05-18T04:39:28.878517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90df316b3208d49b0d1fb3ffcba86d86802210a16190e5e07541fcffe51e2c34

Aliases

arxiv: 0908.3056 · arxiv_version: 0908.3056v2 · doi: 10.48550/arxiv.0908.3056 · pith_short_12: SDPTC2ZSBDKJ · pith_short_16: SDPTC2ZSBDKJWDI7 · pith_short_8: SDPTC2ZS

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/SDPTC2ZSBDKJWDI7WP74XKDNQ2 \
  | 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: 90df316b3208d49b0d1fb3ffcba86d86802210a16190e5e07541fcffe51e2c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff77d84dadf7f93fca2aa46b5b7c024ed4cd2ead6c89d062823df641edcdd16",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-08-21T06:14:22Z",
    "title_canon_sha256": "3740691f6d635f79534238055262dabe5ecd06c7fba58cf03b00e7116733e7a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3056",
    "kind": "arxiv",
    "version": 2
  }
}