Pith Number

pith:ITUY4LEO

pith:2016:ITUY4LEOVVMGZ4RQB4WNZPYYLX

not attested not anchored not stored refs pending

On a semitopological polycyclic monoid

Oleg Gutik, Serhii Bardyla

arxiv:1601.01151 v1 · 2016-01-06 · 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{ITUY4LEOVVMGZ4RQB4WNZPYYLX}

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	2026-05-18T01:11:04.969352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e98e2c8ead586cf2300f2cdcbf185dc7f88cb39a939a28d22e840ee1a33ab1

Aliases

arxiv: 1601.01151 · arxiv_version: 1601.01151v1 · doi: 10.48550/arxiv.1601.01151 · pith_short_12: ITUY4LEOVVMG · pith_short_16: ITUY4LEOVVMGZ4RQ · pith_short_8: ITUY4LEO

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/ITUY4LEOVVMGZ4RQB4WNZPYYLX \
  | 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: 44e98e2c8ead586cf2300f2cdcbf185dc7f88cb39a939a28d22e840ee1a33ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "584318594d9a23f15f4d4de72e79e13b0ebd23838f4069f57b97f5dd44260fca",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-06T12:08:24Z",
    "title_canon_sha256": "66eba39b778eb7f72e450184d34d2f64f980871efa7bf6cf40234bccd38d1fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01151",
    "kind": "arxiv",
    "version": 1
  }
}