Pith Number

pith:CDLE5DQT

pith:2009:CDLE5DQTQBSEFD7FZZEXRKE75Z

not attested not anchored not stored refs pending

Invariant strong KT geometry on four-dimensional solvable Lie groups

Andrew Swann (University of Southern Denmark), Thomas Bruun Madsen

arxiv:0911.0535 v1 · 2009-11-03 · 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{CDLE5DQTQBSEFD7FZZEXRKE75Z}

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	2026-05-18T02:42:54.535071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d64e8e138064428fe5ce4978a89fee42f5cc14d8f7daa79fe0f82d73e66593

Aliases

arxiv: 0911.0535 · arxiv_version: 0911.0535v1 · doi: 10.48550/arxiv.0911.0535 · pith_short_12: CDLE5DQTQBSE · pith_short_16: CDLE5DQTQBSEFD7F · pith_short_8: CDLE5DQT

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/CDLE5DQTQBSEFD7FZZEXRKE75Z \
  | 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: 10d64e8e138064428fe5ce4978a89fee42f5cc14d8f7daa79fe0f82d73e66593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6db1f75eeb7c94f063714698da6c7ae3c008e6c5cb0d76b457c980ca20093f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-11-03T10:15:19Z",
    "title_canon_sha256": "4f4dfdf426bd72e95a8cf49b382715706d86106a1396ac207e35d155cc474ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0535",
    "kind": "arxiv",
    "version": 1
  }
}