Pith Number

pith:IBEEYJEO

pith:2014:IBEEYJEOEIA566DA73ZGNV3LAZ

not attested not anchored not stored refs pending

On the free Lie algebra with multiple brackets

Rafael S. Gonz\'alez D'Le\'on

arxiv:1408.5415 v1 · 2014-08-22 · math.CO · 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{IBEEYJEOEIA566DA73ZGNV3LAZ}

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	2026-05-18T00:30:18.117750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40484c248e2201df7860fef266d76b066eebeb17f7bc126f3d7f2d8d9602687b

Aliases

arxiv: 1408.5415 · arxiv_version: 1408.5415v1 · doi: 10.48550/arxiv.1408.5415 · pith_short_12: IBEEYJEOEIA5 · pith_short_16: IBEEYJEOEIA566DA · pith_short_8: IBEEYJEO

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/IBEEYJEOEIA566DA73ZGNV3LAZ \
  | 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: 40484c248e2201df7860fef266d76b066eebeb17f7bc126f3d7f2d8d9602687b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741cd6348c4f22939c927896c70d57309f5f6067b87878a5afecac0d1ff7531d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-22T20:11:38Z",
    "title_canon_sha256": "658e39ddffab37ee00d190ea361e1b7f84c79a088d08e60624d4f2dba159a30e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5415",
    "kind": "arxiv",
    "version": 1
  }
}