Pith Number

pith:VE5JCHKY

pith:2011:VE5JCHKYSG2NCFTZ2QPYPYJCQN

not attested not anchored not stored refs pending

Mass-Energy and Momentum Extraction by Gravitational Wave Emission in the Merger of Two Colliding Black Holes: The Non-Head-On Case

E. V. Tonini, I. Dami\~ao Soares, R. F. Aranha

arxiv:1111.1223 v4 · 2011-11-04 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VE5JCHKYSG2NCFTZ2QPYPYJCQN}

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	2026-05-18T01:59:45.297250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a93a911d5891b4d11679d41f87e122835b565956f446cfdf27a90ce0b8808d64

Aliases

arxiv: 1111.1223 · arxiv_version: 1111.1223v4 · doi: 10.48550/arxiv.1111.1223 · pith_short_12: VE5JCHKYSG2N · pith_short_16: VE5JCHKYSG2NCFTZ · pith_short_8: VE5JCHKY

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/VE5JCHKYSG2NCFTZ2QPYPYJCQN \
  | 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: a93a911d5891b4d11679d41f87e122835b565956f446cfdf27a90ce0b8808d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78b5b37a0fdc1dbc6052edc4824f1645314d190ecbed12e0d4c6c2a630346bee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-04T19:40:01Z",
    "title_canon_sha256": "35fe2ac6db8d89e910968d9b33bc699ae5f7519a63278a2fd6a7b49cf55bdc86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1223",
    "kind": "arxiv",
    "version": 4
  }
}