pith. sign in
Pith Number

pith:RIAOCJY3

pith:2015:RIAOCJY3V3E2YTJU2I4SVFOIEG
not attested not anchored not stored refs pending

Power commutator groups

Arkadius Kalka

arxiv:1510.02286 v1 · 2015-10-08 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RIAOCJY3V3E2YTJU2I4SVFOIEG}

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 2026-05-18T01:30:44.233736Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8a00e1271baec9ac4d34d2392a95c821a5228b912eadd1eebbc65c5edc760fe5

Aliases

arxiv: 1510.02286 · arxiv_version: 1510.02286v1 · doi: 10.48550/arxiv.1510.02286 · pith_short_12: RIAOCJY3V3E2 · pith_short_16: RIAOCJY3V3E2YTJU · pith_short_8: RIAOCJY3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RIAOCJY3V3E2YTJU2I4SVFOIEG \
  | 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: 8a00e1271baec9ac4d34d2392a95c821a5228b912eadd1eebbc65c5edc760fe5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "12692ffa24a893795dcb761824152db04058c52905fe9ced9abd889cdaaad734",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-08T11:58:32Z",
    "title_canon_sha256": "c3c7651f6f95a3382bd346014005e21350e929dc27b9cbdb144f0eddff8a6872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02286",
    "kind": "arxiv",
    "version": 1
  }
}