Pith Number

pith:K4E2P3PQ

pith:2011:K4E2P3PQHXK3VDIJNS2HXPP7J6

not attested not anchored not stored refs pending

Cohomological properties of unimodular six dimensional solvable Lie algebras

Maura Macr\`i

arxiv:1111.5958 v2 · 2011-11-25 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4E2P3PQHXK3VDIJNS2HXPP7J6}

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	2026-05-18T04:04:07.767658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5709a7edf03dd5ba8d096cb47bbdff4faf4ed9cb8fa7898a26adc0085d7df38e

Aliases

arxiv: 1111.5958 · arxiv_version: 1111.5958v2 · doi: 10.48550/arxiv.1111.5958 · pith_short_12: K4E2P3PQHXK3 · pith_short_16: K4E2P3PQHXK3VDIJ · pith_short_8: K4E2P3PQ

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/K4E2P3PQHXK3VDIJNS2HXPP7J6 \
  | 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: 5709a7edf03dd5ba8d096cb47bbdff4faf4ed9cb8fa7898a26adc0085d7df38e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65773bd26c2c46b478bd6c309805d44efac7d3c1d137f295cdc924b541e91110",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-25T12:13:06Z",
    "title_canon_sha256": "53c3b7cc573204f64c53948751b268f08cc3bfbaeabdcf15b13c0d09da54b65b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5958",
    "kind": "arxiv",
    "version": 2
  }
}