Pith Number

pith:CEUPYVZZ

pith:2011:CEUPYVZZTYWIBPISLJ5JFYIGBM

not attested not anchored not stored refs pending

Perfectly supportable semigroups are \sigma-discrete in each Hausdorff shift-invariant topology

Igor Guran, Taras Banakh

arxiv:1112.5727 v1 · 2011-12-24 · math.GN · 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{CEUPYVZZTYWIBPISLJ5JFYIGBM}

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	2026-05-18T02:32:14.730595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1128fc57399e2c80bd125a7a92e1060b137a8997468b0303848423ab07a9d5be

Aliases

arxiv: 1112.5727 · arxiv_version: 1112.5727v1 · doi: 10.48550/arxiv.1112.5727 · pith_short_12: CEUPYVZZTYWI · pith_short_16: CEUPYVZZTYWIBPIS · pith_short_8: CEUPYVZZ

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/CEUPYVZZTYWIBPISLJ5JFYIGBM \
  | 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: 1128fc57399e2c80bd125a7a92e1060b137a8997468b0303848423ab07a9d5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9398ed58f7be95fbbefadead1024876f7bc2e2a8ea15cf62361e30798ddb149b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-12-24T14:29:51Z",
    "title_canon_sha256": "84fe1e8b72209ed7c3491832a03aa1f19f54deacb4ebfef111213e61be2aef9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5727",
    "kind": "arxiv",
    "version": 1
  }
}