Pith Number

pith:NHUTPGRK

pith:2012:NHUTPGRKKOKQGB2EGBJCZGRJXX

not attested not anchored not stored refs pending

Algorithmically complex residually finite groups

A. Myasnikov, M. Sapir, O. Kharlampovich

arxiv:1204.6506 v5 · 2012-04-29 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHUTPGRKKOKQGB2EGBJCZGRJXX}

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	2026-05-18T03:30:12.525462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e9379a2a539503074430522c9a29bdd2d01798377d3651d7e5a9e1b308948b

Aliases

arxiv: 1204.6506 · arxiv_version: 1204.6506v5 · doi: 10.48550/arxiv.1204.6506 · pith_short_12: NHUTPGRKKOKQ · pith_short_16: NHUTPGRKKOKQGB2E · pith_short_8: NHUTPGRK

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/NHUTPGRKKOKQGB2EGBJCZGRJXX \
  | 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: 69e9379a2a539503074430522c9a29bdd2d01798377d3651d7e5a9e1b308948b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dbeba0a0d650570bf728fe0225ce27196c24a2857d2a03caebce39a0eeff44a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-29T19:23:48Z",
    "title_canon_sha256": "e7c4f90c1576764c891757d97eb02ed552ae3471ed18fcc2f8e768da5d311512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6506",
    "kind": "arxiv",
    "version": 5
  }
}