Pith Number

pith:YFF572LR

pith:2007:YFF572LRF7SPDXDLKL54JW6WGS

not attested not anchored not stored refs pending

Solvable Lie algebras with triangular nilradicals

Pavel Winternitz, S\'ebastien Tremblay

arxiv:0709.3581 v1 · 2007-09-22 · math.RA · 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{YFF572LRF7SPDXDLKL54JW6WGS}

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	2026-05-18T03:19:01.928431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14bdfe9712fe4f1dc6b52fbc4dbd634b559608b388e7b6db6023f3533e28ae3

Aliases

arxiv: 0709.3581 · arxiv_version: 0709.3581v1 · doi: 10.48550/arxiv.0709.3581 · pith_short_12: YFF572LRF7SP · pith_short_16: YFF572LRF7SPDXDL · pith_short_8: YFF572LR

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/YFF572LRF7SPDXDLKL54JW6WGS \
  | 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: c14bdfe9712fe4f1dc6b52fbc4dbd634b559608b388e7b6db6023f3533e28ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a0faf231e8d2d36a41fccf10d45b984807c93dbe9345c6ed314fc06e2fa5931",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-09-22T14:36:05Z",
    "title_canon_sha256": "4b50ddaed11f7e7479845d1ba72b0aee1253c7359f04594356ac951c2f7059cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3581",
    "kind": "arxiv",
    "version": 1
  }
}