Pith Number

pith:LWS74UGN

pith:2009:LWS74UGNFXA2XRKN2PNR64DYPG

not attested not anchored not stored refs pending

Boundedness of certain automorphism groups of an open manifold

Tomasz Rybicki

arxiv:0912.4590 v4 · 2009-12-23 · 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{LWS74UGNFXA2XRKN2PNR64DYPG}

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	2026-05-18T04:23:56.980447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da5fe50cd2dc1abc54dd3db1f7078798f6ec511d66469e74beb8a040fa78a1f

Aliases

arxiv: 0912.4590 · arxiv_version: 0912.4590v4 · doi: 10.48550/arxiv.0912.4590 · pith_short_12: LWS74UGNFXA2 · pith_short_16: LWS74UGNFXA2XRKN · pith_short_8: LWS74UGN

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/LWS74UGNFXA2XRKN2PNR64DYPG \
  | 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: 5da5fe50cd2dc1abc54dd3db1f7078798f6ec511d66469e74beb8a040fa78a1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30d030e35263c2c7d06063980cf240d4533490e5fe272df5c2758eca73e1a391",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-23T09:44:15Z",
    "title_canon_sha256": "1e180766100c9c703a754c8b37057954579962cfcc5dffc1fa84a4e5962e6c0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4590",
    "kind": "arxiv",
    "version": 4
  }
}