Pith Number

pith:K2YZ6OXT

pith:2012:K2YZ6OXTLVGL7C6VJAS2VL5Z5B

not attested not anchored not stored refs pending

The typical mass ratio and typical final spin in supermassive black hole mergers

L\'aszl\'o \'A. Gergely, Peter L. Biermann

arxiv:1208.5251 v1 · 2012-08-26 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2YZ6OXTLVGL7C6VJAS2VL5Z5B}

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	2026-05-18T03:46:59.983474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56b19f3af35d4cbf8bd54825aaafb9e845a4854e9c865db120147eca025cbf1c

Aliases

arxiv: 1208.5251 · arxiv_version: 1208.5251v1 · doi: 10.48550/arxiv.1208.5251 · pith_short_12: K2YZ6OXTLVGL · pith_short_16: K2YZ6OXTLVGL7C6V · pith_short_8: K2YZ6OXT

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/K2YZ6OXTLVGL7C6VJAS2VL5Z5B \
  | 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: 56b19f3af35d4cbf8bd54825aaafb9e845a4854e9c865db120147eca025cbf1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed239989845a855c43e60dec68f8ff8356d80cd2a3a5947b107ab13b7c4f1b7",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-26T20:38:39Z",
    "title_canon_sha256": "0a337651690f82b8a7466931876943f1473deb183b8fc39689d3bea7c1511a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5251",
    "kind": "arxiv",
    "version": 1
  }
}