Pith Number

pith:LIBK7VLJ

pith:2015:LIBK7VLJABXIFLQBI4EHDPJVHM

not attested not anchored not stored refs pending

On the dichotomy of a locally compact semitopological bicyclic monoid with adjoined zero

Oleg Gutik

arxiv:1509.02148 v3 · 2015-09-07 · 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{LIBK7VLJABXIFLQBI4EHDPJVHM}

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	2026-05-18T01:09:29.747941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a02afd569006e82ae01470871bd353b1bc87a8872c72a71c63aed38c4bd14bd

Aliases

arxiv: 1509.02148 · arxiv_version: 1509.02148v3 · doi: 10.48550/arxiv.1509.02148 · pith_short_12: LIBK7VLJABXI · pith_short_16: LIBK7VLJABXIFLQB · pith_short_8: LIBK7VLJ

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/LIBK7VLJABXIFLQBI4EHDPJVHM \
  | 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: 5a02afd569006e82ae01470871bd353b1bc87a8872c72a71c63aed38c4bd14bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e29c3fefb5244c91a9f01e6b78fc8e477a48937b9b26edc6a2d41e0a6a7c14",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-07T19:31:21Z",
    "title_canon_sha256": "64515e85cfc8d8440b6a038a260f2af97e0e17b67b1f2c10023e54c4755b6ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02148",
    "kind": "arxiv",
    "version": 3
  }
}