Pith Number

pith:O3D3LQWC

pith:2018:O3D3LQWC5UMDQEPZVPFG6F5B2K

not attested not anchored not stored refs pending

The polar group of a real form of an affine or projective $\mathbb{C}$-variety

Gene Freudenburg

arxiv:1804.09167 v2 · 2018-04-24 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3D3LQWC5UMDQEPZVPFG6F5B2K}

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	2026-05-18T00:17:23.578474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c7b5c2c2ed183811f9abca6f17a1d2bc489e648add0e02f6f24a4381610d9b

Aliases

arxiv: 1804.09167 · arxiv_version: 1804.09167v2 · doi: 10.48550/arxiv.1804.09167 · pith_short_12: O3D3LQWC5UMD · pith_short_16: O3D3LQWC5UMDQEPZ · pith_short_8: O3D3LQWC

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/O3D3LQWC5UMDQEPZVPFG6F5B2K \
  | 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: 76c7b5c2c2ed183811f9abca6f17a1d2bc489e648add0e02f6f24a4381610d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7644d59b8c9452d8efa214ddd04ed8cd83fc15ca0503a80a4c8d2564587d12c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-24T17:52:04Z",
    "title_canon_sha256": "4e8c1d65300c87071e3a462563c930018dee88d816b4333983d823791e80c2ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09167",
    "kind": "arxiv",
    "version": 2
  }
}