Pith Number

pith:PEADKE2Y

pith:2017:PEADKE2YTDLPMGI6YBIGEFE6AW

not attested not anchored not stored refs pending

The conjugacy ratio of groups

Armando Martino, Charles Garnet Cox, Laura Ciobanu

arxiv:1709.02152 v1 · 2017-09-07 · 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{PEADKE2YTDLPMGI6YBIGEFE6AW}

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	2026-05-17T23:41:13.446215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

790035135898d6f6191ec05062149e059ac9839df208a9e5cd3bc4835a5fa72e

Aliases

arxiv: 1709.02152 · arxiv_version: 1709.02152v1 · doi: 10.48550/arxiv.1709.02152 · pith_short_12: PEADKE2YTDLP · pith_short_16: PEADKE2YTDLPMGI6 · pith_short_8: PEADKE2Y

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/PEADKE2YTDLPMGI6YBIGEFE6AW \
  | 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: 790035135898d6f6191ec05062149e059ac9839df208a9e5cd3bc4835a5fa72e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b612462cc6b4e9a12dc4082698eccae7b1db3f26bd0f8b1f0c905bd70334ce6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-07T09:29:19Z",
    "title_canon_sha256": "9aa33170c3588d1c6093a89e926a64317a8618f556f7514b17ae5af550bfdecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02152",
    "kind": "arxiv",
    "version": 1
  }
}