Pith Number

pith:TBCKANIP

pith:2015:TBCKANIP7SKO655YA4QVRADA57

not attested not anchored not stored refs pending

Groups equal to a product of three conjugate subgroups

Attila Mar\'oti, Dan Levy, Iulian I. Simion, John Cannon, Martino Garonzi

arxiv:1501.05676 v1 · 2015-01-22 · 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{TBCKANIP7SKO655YA4QVRADA57}

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	2026-05-18T02:28:53.549771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9844a0350ffc94ef77b80721588060efd9783fdb2c90dd0ed94f72307999924a

Aliases

arxiv: 1501.05676 · arxiv_version: 1501.05676v1 · doi: 10.48550/arxiv.1501.05676 · pith_short_12: TBCKANIP7SKO · pith_short_16: TBCKANIP7SKO655Y · pith_short_8: TBCKANIP

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/TBCKANIP7SKO655YA4QVRADA57 \
  | 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: 9844a0350ffc94ef77b80721588060efd9783fdb2c90dd0ed94f72307999924a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "badcdadcbc2c86f558ca6ca783c42582778ba68f42e5161bc785309c1966bcfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-22T22:30:10Z",
    "title_canon_sha256": "ffdd31abda15c765240629a48ef8e79ce1a1543cbadad3fb4edf1610ab691fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05676",
    "kind": "arxiv",
    "version": 1
  }
}