Pith Number

pith:ASZAZM6B

pith:2023:ASZAZM6BTYH3TAK3DA2TUCQEAE

not attested not anchored not stored refs pending

Squares of Conjugacy Classes in Alternating Groups

Michael J. Larsen, Pham Huu Tiep

arxiv:2305.04806 v1 · 2023-05-08 · 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{ASZAZM6BTYH3TAK3DA2TUCQEAE}

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

Products of three conjugacy classes in the alternating group

Receipt and verification

First computed	2026-07-05T06:07:54.141657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b20cb3c19e0fb9815b18353a0a04011df75839895f96fef393ce51df27abaf

Aliases

arxiv: 2305.04806 · arxiv_version: 2305.04806v1 · doi: 10.48550/arxiv.2305.04806 · pith_short_12: ASZAZM6BTYH3 · pith_short_16: ASZAZM6BTYH3TAK3 · pith_short_8: ASZAZM6B

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/ASZAZM6BTYH3TAK3DA2TUCQEAE \
  | 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: 04b20cb3c19e0fb9815b18353a0a04011df75839895f96fef393ce51df27abaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e43d61d3c5b20e4c256883b91b6dd66ac59de975691b6b6cca61e28811193a36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-05-08T16:04:46Z",
    "title_canon_sha256": "186513f24a875ca3b67176f702bbca5c57417353e5dededfade54e5592367951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.04806",
    "kind": "arxiv",
    "version": 1
  }
}