Pith Number

pith:2NAWTFMQ

pith:2022:2NAWTFMQO7ODOMQOAP4QA27RAE

not attested not anchored not stored refs pending

Irredundant bases for finite groups of Lie type

Martin W. Liebeck, Nick Gill

arxiv:2212.07853 v1 · 2022-12-15 · 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{2NAWTFMQO7ODOMQOAP4QA27RAE}

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	2026-07-05T06:13:09.439310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34169959077dc37320e03f9006bf1013c67adcedb6f69a92b8be72e0d6f7a99

Aliases

arxiv: 2212.07853 · arxiv_version: 2212.07853v1 · doi: 10.48550/arxiv.2212.07853 · pith_short_12: 2NAWTFMQO7OD · pith_short_16: 2NAWTFMQO7ODOMQO · pith_short_8: 2NAWTFMQ

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/2NAWTFMQO7ODOMQOAP4QA27RAE \
  | 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: d34169959077dc37320e03f9006bf1013c67adcedb6f69a92b8be72e0d6f7a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140935efbbafd8abad0f4656a20a2e46c1a50c70bf9050cf2cb561dbc59afa89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-12-15T14:20:57Z",
    "title_canon_sha256": "bfaca6459e6c5d9ffeeb2c11fab8fe48fd288f5c48d0490a41833a8d2bc8e8c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.07853",
    "kind": "arxiv",
    "version": 1
  }
}