Pith Number

pith:EXXG6PVZ

pith:2014:EXXG6PVZCXCK4ESKVHGTLEIPK2

not attested not anchored not stored refs pending

Partitions of groups

Igor Protasov, Sergii Slobodianiuk

arxiv:1409.1597 v1 · 2014-09-04 · 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{EXXG6PVZCXCK4ESKVHGTLEIPK2}

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	2026-05-18T02:43:25.688810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ee6f3eb915c4ae124aa9cd35910f56bcaee7565e501a16ae066e194a3afbda

Aliases

arxiv: 1409.1597 · arxiv_version: 1409.1597v1 · doi: 10.48550/arxiv.1409.1597 · pith_short_12: EXXG6PVZCXCK · pith_short_16: EXXG6PVZCXCK4ESK · pith_short_8: EXXG6PVZ

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/EXXG6PVZCXCK4ESKVHGTLEIPK2 \
  | 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: 25ee6f3eb915c4ae124aa9cd35910f56bcaee7565e501a16ae066e194a3afbda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12bf6db0161307c499f635f01f25acb4d6e448490d4dbce3b8e113c44ed8b02f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-04T20:24:36Z",
    "title_canon_sha256": "da83b61a977572aceb3ac1b8c7e7a142f1b76461cc2ca37068c9c96e9f1bd737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1597",
    "kind": "arxiv",
    "version": 1
  }
}