Pith Number

pith:PQ6L4CUB

pith:2015:PQ6L4CUBLOBUJ6SRVTPD4UPEM2

not attested not anchored not stored refs pending

On Kaluzhnin - Krasner's embedding of groups

A.Yu. Olshanskii

arxiv:1502.07052 v1 · 2015-02-25 · 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{PQ6L4CUBLOBUJ6SRVTPD4UPEM2}

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	2026-05-18T02:26:12.008574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3cbe0a815b8344fa51acde3e51e466808a1b143e4734fb416c47570cc4fcd5

Aliases

arxiv: 1502.07052 · arxiv_version: 1502.07052v1 · doi: 10.48550/arxiv.1502.07052 · pith_short_12: PQ6L4CUBLOBU · pith_short_16: PQ6L4CUBLOBUJ6SR · pith_short_8: PQ6L4CUB

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/PQ6L4CUBLOBUJ6SRVTPD4UPEM2 \
  | 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: 7c3cbe0a815b8344fa51acde3e51e466808a1b143e4734fb416c47570cc4fcd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e11ed618f459a6502a63b41a20f7fc8bb3433c38664995b92b622f70d0d60fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-02-25T05:13:20Z",
    "title_canon_sha256": "3e23a37f77d8d5f43f9a71d4973ed600c958f8d5267d13da840188b0b60498fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07052",
    "kind": "arxiv",
    "version": 1
  }
}