Pith Number

pith:F6YLVGAH

pith:2015:F6YLVGAH5LBFWFSARYWZZJNOII

not attested not anchored not stored refs pending

The Lie module and its complexity

Daniel K. Nakano, David J. Hemmer, Frederick R. Cohen

arxiv:1503.01545 v1 · 2015-03-05 · 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{F6YLVGAH5LBFWFSARYWZZJNOII}

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	2026-05-18T00:44:28.471227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb0ba9807eac25b16408e2d9ca5ae422f2aa48de06bfbb9ebc849b3eb22c48b

Aliases

arxiv: 1503.01545 · arxiv_version: 1503.01545v1 · doi: 10.48550/arxiv.1503.01545 · pith_short_12: F6YLVGAH5LBF · pith_short_16: F6YLVGAH5LBFWFSA · pith_short_8: F6YLVGAH

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/F6YLVGAH5LBFWFSARYWZZJNOII \
  | 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: 2fb0ba9807eac25b16408e2d9ca5ae422f2aa48de06bfbb9ebc849b3eb22c48b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ca8a53db026256052ed414d41158e98ad20ecdf343d54ac44dd827b87dec267",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-05T06:01:06Z",
    "title_canon_sha256": "d51629cec1d1053c99b59487421cd2d320ac999153cf8e5f711b490b13f44520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01545",
    "kind": "arxiv",
    "version": 1
  }
}