Pith Number

pith:7NPNOBZD

pith:2010:7NPNOBZDAKNZVIXG2XZ3KJN3WS

not attested not anchored not stored refs pending

Lie invariants in two and three variables

Jiaxiong Hu, Murray R. Bremner

arxiv:1008.2380 v1 · 2010-08-13 · math.RA · math-ph · math.MP · 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{7NPNOBZDAKNZVIXG2XZ3KJN3WS}

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	2026-05-18T04:42:14.090914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb5ed70723029b9aa2e6d5f3b525bbb489a70445375fe722b334894225d0ac0f

Aliases

arxiv: 1008.2380 · arxiv_version: 1008.2380v1 · doi: 10.48550/arxiv.1008.2380 · pith_short_12: 7NPNOBZDAKNZ · pith_short_16: 7NPNOBZDAKNZVIXG · pith_short_8: 7NPNOBZD

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/7NPNOBZDAKNZVIXG2XZ3KJN3WS \
  | 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: fb5ed70723029b9aa2e6d5f3b525bbb489a70445375fe722b334894225d0ac0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d204d0e7911a7fcdbe65e2f9b55b49bfd30ae26776a72db5b52180c58411ef",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-08-13T19:51:34Z",
    "title_canon_sha256": "8fca28eac1840b806e29c5aa867974ec4bb53ccd6287272955b502eca484dd32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2380",
    "kind": "arxiv",
    "version": 1
  }
}