Pith Number

pith:QAP5OG2F

pith:2010:QAP5OG2F2BRBQTQGLBISBPPFYE

not attested not anchored not stored refs pending

Lie families: theory and applications

Janusz Grabowski, Javier de Lucas, Jose F. Carinena

arxiv:1003.3529 v3 · 2010-03-18 · math.CA · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAP5OG2F2BRBQTQGLBISBPPFYE}

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	2026-05-18T04:08:04.008351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

801fd71b45d062184e06585120bde5c125aa6bb9e6d3be9c1747ef2d1f251cff

Aliases

arxiv: 1003.3529 · arxiv_version: 1003.3529v3 · doi: 10.48550/arxiv.1003.3529 · pith_short_12: QAP5OG2F2BRB · pith_short_16: QAP5OG2F2BRBQTQG · pith_short_8: QAP5OG2F

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/QAP5OG2F2BRBQTQGLBISBPPFYE \
  | 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: 801fd71b45d062184e06585120bde5c125aa6bb9e6d3be9c1747ef2d1f251cff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a51fb4445a6a53041a3e0b819f16d7a276b319407f31fd35d5b4a117719f08",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-18T09:05:12Z",
    "title_canon_sha256": "e652191cfecb140e86884360f58ff66f0edb3633038d1b5078d20873dde9376c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3529",
    "kind": "arxiv",
    "version": 3
  }
}