Pith Number

pith:KTKQQ52U

pith:2016:KTKQQ52UFJR73MD5EDEWLQSTPS

not attested not anchored not stored refs pending

On a complete topological inverse polycyclic monoid

Oleg Gutik, Serhii Bardyla

arxiv:1603.08147 v1 · 2016-03-26 · math.GR · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTKQQ52UFJR73MD5EDEWLQSTPS}

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	2026-05-18T00:53:40.377005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d50877542a63fdb07d20c965c2537cabe5c85e47a9f1fda1929c5fc9e37f88

Aliases

arxiv: 1603.08147 · arxiv_version: 1603.08147v1 · doi: 10.48550/arxiv.1603.08147 · pith_short_12: KTKQQ52UFJR7 · pith_short_16: KTKQQ52UFJR73MD5 · pith_short_8: KTKQQ52U

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/KTKQQ52UFJR73MD5EDEWLQSTPS \
  | 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: 54d50877542a63fdb07d20c965c2537cabe5c85e47a9f1fda1929c5fc9e37f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa0a706dee7a0a255a97b64c3b5d1052da6bf24d1e4dc68d544b0bbb107e380",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-26T21:49:19Z",
    "title_canon_sha256": "7f805433ff7eb91d524f640529e9056198b2892a29414c4a1902c1ddb7ee8ff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08147",
    "kind": "arxiv",
    "version": 1
  }
}