Pith Number

pith:PLDN3AXS

pith:2007:PLDN3AXSSR2RQXSPA7VECDBS4Y

not attested not anchored not stored refs pending

On the distribution of conjugacy classes between the cosets of a finite group in a cyclic extension

John R. Britnell, Mark Wildon

arxiv:0709.0064 v1 · 2007-09-01 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLDN3AXSSR2RQXSPA7VECDBS4Y}

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	2026-05-18T02:58:12.385554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac6dd82f29475185e4f07ea410c32e6209190cd4c4816e2235cfa2bf32eb172

Aliases

arxiv: 0709.0064 · arxiv_version: 0709.0064v1 · doi: 10.48550/arxiv.0709.0064 · pith_short_12: PLDN3AXSSR2R · pith_short_16: PLDN3AXSSR2RQXSP · pith_short_8: PLDN3AXS

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/PLDN3AXSSR2RQXSPA7VECDBS4Y \
  | 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: 7ac6dd82f29475185e4f07ea410c32e6209190cd4c4816e2235cfa2bf32eb172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8803bc76c7eed1c88445365be4ae8a74094fb5b934c60b6607197ba21aa3d6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-09-01T14:01:21Z",
    "title_canon_sha256": "9c4e150bb771b684d69e4ce38dd70c35a95c269508e59c679cec83a977729b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0064",
    "kind": "arxiv",
    "version": 1
  }
}