Pith Number

pith:6DRQ4DQV

pith:2015:6DRQ4DQV7EC7KJ6FCTNW4XDMAN

not attested not anchored not stored refs pending

Nonlinear interactions between black holes and Proca fields

Helvi Witek, Miguel Zilh\~ao, Vitor Cardoso

arxiv:1505.00797 v2 · 2015-05-04 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DRQ4DQV7EC7KJ6FCTNW4XDMAN}

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.

Cited by

3 papers in Pith

Splitting the Gravitational Atom: Instabilities of Black Holes with Synchronized or Resonant Hair

Spin-up and mass-gain in hyperbolic encounters of spinning black holes

Spontaneous spherical symmetry breaking of black holes with resonant hair

Receipt and verification

First computed	2026-05-18T01:27:05.312524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e30e0e15f905f527c514db6e5c6c036d196bb84657e1df5f62dee50cdd2b2f

Aliases

arxiv: 1505.00797 · arxiv_version: 1505.00797v2 · doi: 10.48550/arxiv.1505.00797 · pith_short_12: 6DRQ4DQV7EC7 · pith_short_16: 6DRQ4DQV7EC7KJ6F · pith_short_8: 6DRQ4DQV

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/6DRQ4DQV7EC7KJ6FCTNW4XDMAN \
  | 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: f0e30e0e15f905f527c514db6e5c6c036d196bb84657e1df5f62dee50cdd2b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43898f0ebb83a73612d971d063b288063c647ef26ec6a928c58ad8ab99739aa7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-05-04T20:09:24Z",
    "title_canon_sha256": "528b120220dbfee40fe8cc9593295c3931134e0ca10e5181728f83a3f8df7b3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00797",
    "kind": "arxiv",
    "version": 2
  }
}