Pith Number

pith:NBZPNRPZ

pith:2017:NBZPNRPZDCWL7DR7NFCNX6QOQQ

not attested not anchored not stored refs pending

Unipotent elements and generalized exponential maps

Paul Sobaje

arxiv:1708.04153 v1 · 2017-08-14 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBZPNRPZDCWL7DR7NFCNX6QOQQ}

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	2026-05-18T00:38:06.914987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6872f6c5f918acbf8e3f6944dbfa0e84342a0bcd015befc1426dd3b595e54136

Aliases

arxiv: 1708.04153 · arxiv_version: 1708.04153v1 · doi: 10.48550/arxiv.1708.04153 · pith_short_12: NBZPNRPZDCWL · pith_short_16: NBZPNRPZDCWL7DR7 · pith_short_8: NBZPNRPZ

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/NBZPNRPZDCWL7DR7NFCNX6QOQQ \
  | 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: 6872f6c5f918acbf8e3f6944dbfa0e84342a0bcd015befc1426dd3b595e54136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff9c7fa7b7df572eed21eb4b5fe6af9612ea6cab623760c7cdc0e31dbdfb262",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-14T14:42:52Z",
    "title_canon_sha256": "6ecc6b87158ec307ec67cd8829a58c67731b460027be7475863813bd891a3ca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04153",
    "kind": "arxiv",
    "version": 1
  }
}