Pith Number

pith:WHNWE2QI

pith:2017:WHNWE2QIKUA5TDLWGKR543DPY5

not attested not anchored not stored refs pending

Commuting Graphs of Boundedly Generated Semigroups

Be'eri Greenfeld, Tomer Bauer

arxiv:1710.05250 v1 · 2017-10-14 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHNWE2QIKUA5TDLWGKR543DPY5}

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	2026-05-18T00:32:53.861218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1db626a085501d98d7632a3de6c6fc771fef748e6d86513f44f39b47069d080

Aliases

arxiv: 1710.05250 · arxiv_version: 1710.05250v1 · doi: 10.48550/arxiv.1710.05250 · pith_short_12: WHNWE2QIKUA5 · pith_short_16: WHNWE2QIKUA5TDLW · pith_short_8: WHNWE2QI

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/WHNWE2QIKUA5TDLWGKR543DPY5 \
  | 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: b1db626a085501d98d7632a3de6c6fc771fef748e6d86513f44f39b47069d080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728faec79dd9f5d5136d2682d1534fb9f845e1b312d327b8ec8c1e8ee9a8394c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-14T23:53:24Z",
    "title_canon_sha256": "cff1d2aa68f23e3dd7dcdd6343c9d1aad7175e398d472c915f5d9b8809db5597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05250",
    "kind": "arxiv",
    "version": 1
  }
}