Pith Number

pith:NI7NN5NQ

pith:2015:NI7NN5NQCMMMX37HBIY2BPQKA2

not attested not anchored not stored refs pending

Structure of Hyperbolic Unitary Groups II: Classification of E-normal Subgroups

Raimund Preusser

arxiv:1506.08885 v3 · 2015-06-29 · math.KT · 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{NI7NN5NQCMMMX37HBIY2BPQKA2}

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	2026-05-18T00:49:42.685647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3ed6f5b01318cbefe70a31a0be0a068b563527c9cb79822c2a8e035bd13a7e

Aliases

arxiv: 1506.08885 · arxiv_version: 1506.08885v3 · doi: 10.48550/arxiv.1506.08885 · pith_short_12: NI7NN5NQCMMM · pith_short_16: NI7NN5NQCMMMX37H · pith_short_8: NI7NN5NQ

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/NI7NN5NQCMMMX37HBIY2BPQKA2 \
  | 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: 6a3ed6f5b01318cbefe70a31a0be0a068b563527c9cb79822c2a8e035bd13a7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b22004ea84138f78682273fe65039d300797007620491dcd621abbc255d85d41",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-06-29T22:21:31Z",
    "title_canon_sha256": "5d87c86c54af2701cdd5109fdafcc3032ef2441f4c7d0329a4cf11f3585888eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08885",
    "kind": "arxiv",
    "version": 3
  }
}