Pith Number

pith:5DFPVUPC

pith:2009:5DFPVUPCPQUL6BXGYAAFSAT3VF

not attested not anchored not stored refs pending

Uniqueness of smooth stationary black holes in vacuum: small perturbations of the Kerr spaces

A. D. Ionescu, S. Alexakis, S. Klainerman

arxiv:0904.0982 v1 · 2009-04-06 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DFPVUPCPQUL6BXGYAAFSAT3VF}

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	2026-05-18T02:34:59.924942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8cafad1e27c28bf06e6c00059027ba951f0eb66b757813260ba257b6f8bf182

Aliases

arxiv: 0904.0982 · arxiv_version: 0904.0982v1 · doi: 10.48550/arxiv.0904.0982 · pith_short_12: 5DFPVUPCPQUL · pith_short_16: 5DFPVUPCPQUL6BXG · pith_short_8: 5DFPVUPC

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/5DFPVUPCPQUL6BXGYAAFSAT3VF \
  | 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: e8cafad1e27c28bf06e6c00059027ba951f0eb66b757813260ba257b6f8bf182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b2dbcdcc4337e536252178d1c7be2e290ac9ab49941cbed66f65f3111cecd9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-04-06T18:15:02Z",
    "title_canon_sha256": "b4bd739eefeab688fe0bfe2a627d76da83f64f200d01c0b51bb5d9ef910cc7ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0982",
    "kind": "arxiv",
    "version": 1
  }
}