Pith Number

pith:MXDDGPPJ

pith:2011:MXDDGPPJYPNTTWMNAKKWX3PA2N

not attested not anchored not stored refs pending

Mergers of Supermassive Black Holes in Astrophysical Environments

Deirdre Shoemaker, James Healy, Pablo Laguna, Roland Haas, Tamara Bogdanovic, Tanja Bode

arxiv:1101.4684 v2 · 2011-01-24 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXDDGPPJYPNTTWMNAKKWX3PA2N}

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	2026-05-18T02:03:22.738031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c6333de9c3db39d98d02956bede0d35aa26d530a766718d99d975b6938a259

Aliases

arxiv: 1101.4684 · arxiv_version: 1101.4684v2 · doi: 10.48550/arxiv.1101.4684 · pith_short_12: MXDDGPPJYPNT · pith_short_16: MXDDGPPJYPNTTWMN · pith_short_8: MXDDGPPJ

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/MXDDGPPJYPNTTWMNAKKWX3PA2N \
  | 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: 65c6333de9c3db39d98d02956bede0d35aa26d530a766718d99d975b6938a259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6663f75495cf588ac2fdb78e7c40e4f4425c1cad3474ec009fb4f52f5e57a90",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-24T22:54:37Z",
    "title_canon_sha256": "f4bd59ca1d2a48f701a69fdd4c3e6074898369ebc3685801cbeaa8555895fd7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4684",
    "kind": "arxiv",
    "version": 2
  }
}