Pith Number

pith:4SEPXF5O

pith:2009:4SEPXF5OI33Y6YWIQ4M3MTRYDD

not attested not anchored not stored refs pending

Virtually abelian K\"ahler and projective groups

Johannes Riesterer, Oliver Baues

arxiv:0911.2459 v2 · 2009-11-12 · math.DG · 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{4SEPXF5OI33Y6YWIQ4M3MTRYDD}

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	2026-05-18T04:07:52.831165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e488fb97ae46f78f62c88719b64e3818fc66686ab100e4b85e2136d93ef800a6

Aliases

arxiv: 0911.2459 · arxiv_version: 0911.2459v2 · doi: 10.48550/arxiv.0911.2459 · pith_short_12: 4SEPXF5OI33Y · pith_short_16: 4SEPXF5OI33Y6YWI · pith_short_8: 4SEPXF5O

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/4SEPXF5OI33Y6YWIQ4M3MTRYDD \
  | 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: e488fb97ae46f78f62c88719b64e3818fc66686ab100e4b85e2136d93ef800a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02eff39fcac799290c7b8a4e88811b98823198c2aeb04a576cc2e0907d7faf3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-11-12T20:27:16Z",
    "title_canon_sha256": "5c63d8e367bb0d3d0aa2b9ff7d35650a7024bf7e5db37b45210b8dae68df03fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2459",
    "kind": "arxiv",
    "version": 2
  }
}