Pith Number

pith:YR67EQGO

pith:2025:YR67EQGOC7I4VP3YFYRKXHKMCH

not attested not anchored not stored refs pending

Products of three conjugacy classes in the alternating group

Daniele Dona

arxiv:2505.06012 v1 · 2025-05-09 · math.GR · 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{YR67EQGOC7I4VP3YFYRKXHKMCH}

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	2026-07-05T11:00:52.181414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47df240ce17d1cabf782e22ab9d4c11e1a52c1bd04e9b08c7706ea3ed4f49f8

Aliases

arxiv: 2505.06012 · arxiv_version: 2505.06012v1 · doi: 10.48550/arxiv.2505.06012 · pith_short_12: YR67EQGOC7I4 · pith_short_16: YR67EQGOC7I4VP3Y · pith_short_8: YR67EQGO

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/YR67EQGOC7I4VP3YFYRKXHKMCH \
  | 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: c47df240ce17d1cabf782e22ab9d4c11e1a52c1bd04e9b08c7706ea3ed4f49f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e798aa99ccd8b2bf9bc802c70f4cc24c045e94a86cccbad61d790168f93984",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-09T12:51:09Z",
    "title_canon_sha256": "a375a2d26e2842734b4bdfdced68ea69db36691330bc66fc5e872e3ac57c6b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06012",
    "kind": "arxiv",
    "version": 1
  }
}