Pith Number

pith:MFRAJR4K

pith:2007:MFRAJR4KOWGBWTV264D5E3BMOZ

not attested not anchored not stored refs pending

Invariants of the nilpotent and solvable triangular Lie algebras

Pavel Winternitz, S\'ebastien Tremblay

arxiv:0709.3116 v1 · 2007-09-19 · math-ph · 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{MFRAJR4KOWGBWTV264D5E3BMOZ}

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	2026-05-18T03:19:01.953287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

616204c78a758c1b4ebaf707d26c2c764e902f53917c84d656eeca8ac92af0f1

Aliases

arxiv: 0709.3116 · arxiv_version: 0709.3116v1 · doi: 10.48550/arxiv.0709.3116 · pith_short_12: MFRAJR4KOWGB · pith_short_16: MFRAJR4KOWGBWTV2 · pith_short_8: MFRAJR4K

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/MFRAJR4KOWGBWTV264D5E3BMOZ \
  | 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: 616204c78a758c1b4ebaf707d26c2c764e902f53917c84d656eeca8ac92af0f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82fd735dfa0d70fd08f8b2764049156f4c4900fd3671483dd6a38a5b1792a20e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-09-19T21:58:40Z",
    "title_canon_sha256": "90bc6101bf556bbc0a90f59a47cd6f65dd2ef5f435583b2e5550137e5563fb02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3116",
    "kind": "arxiv",
    "version": 1
  }
}