Pith Number

pith:QKCNDHR5

pith:2015:QKCNDHR5CFUVHZH45O5GS6DWRK

not attested not anchored not stored refs pending

Full groups of bounded automaton groups

Nicol\'as Matte Bon

arxiv:1512.02133 v2 · 2015-12-07 · 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{QKCNDHR5CFUVHZH45O5GS6DWRK}

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	2026-05-18T01:21:00.753877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8284d19e3d116953e4fcebba6978768a8d9bdc3b80f591ad5a65878b2f634298

Aliases

arxiv: 1512.02133 · arxiv_version: 1512.02133v2 · doi: 10.48550/arxiv.1512.02133 · pith_short_12: QKCNDHR5CFUV · pith_short_16: QKCNDHR5CFUVHZH4 · pith_short_8: QKCNDHR5

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/QKCNDHR5CFUVHZH45O5GS6DWRK \
  | 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: 8284d19e3d116953e4fcebba6978768a8d9bdc3b80f591ad5a65878b2f634298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b3694b0ec78aae61c414f9ff31dfe044ea27a3b7d5f60f811e6d0244914551",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-07T17:25:32Z",
    "title_canon_sha256": "007a8f7981a8f1484fed3805446122f8ce958ba62bd2f1fca0cd34e564e7339e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02133",
    "kind": "arxiv",
    "version": 2
  }
}