Pith Number

pith:D5QG2YBM

pith:2016:D5QG2YBM5M3BK6T6AIWAG4BVC6

not attested not anchored not stored refs pending

On semitopological interassociates of the bicyclic monoid

Kateryna Maksymyk, Oleg Gutik

arxiv:1609.07768 v3 · 2016-09-25 · 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{D5QG2YBM5M3BK6T6AIWAG4BVC6}

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	2026-05-18T00:45:01.493003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f606d602ceb36157a7e022c03703517a5f066139a69247c9013b9622fc5667e

Aliases

arxiv: 1609.07768 · arxiv_version: 1609.07768v3 · doi: 10.48550/arxiv.1609.07768 · pith_short_12: D5QG2YBM5M3B · pith_short_16: D5QG2YBM5M3BK6T6 · pith_short_8: D5QG2YBM

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/D5QG2YBM5M3BK6T6AIWAG4BVC6 \
  | 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: 1f606d602ceb36157a7e022c03703517a5f066139a69247c9013b9622fc5667e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95a43dd71d104753b592f12997e7f9410e5974252c368a5e7a3fc7e84a7e96ac",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-25T16:31:03Z",
    "title_canon_sha256": "033693b72236db29f632c0cd3d0f6cb40ac293fcc4572e7ba6f4a57a76bc2476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07768",
    "kind": "arxiv",
    "version": 3
  }
}