Pith Number

pith:PUKH5S3S

pith:2020:PUKH5S3SI7H4BOD2LRTWXYD3PP

not attested not anchored not stored refs pending

Black holes with synchronised Proca hair: linear clouds and fundamental non-linear solutions

Carlos A. R. Herdeiro, Carolina L. Benone, Eugen Radu, Lu\'is C. B. Crispino, Nuno M. Santos

arxiv:2004.09536 v1 · 2020-04-20 · 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{PUKH5S3SI7H4BOD2LRTWXYD3PP}

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

2 papers in Pith

Relativistic effects in extreme-mass-ratio inspirals within scalar clouds: Eccentric and inclined orbits

Eccentric mergers of binary Proca stars

Receipt and verification

First computed	2026-07-05T01:19:01.909175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d147ecb7247cfc0b87a5c676be07b7bfae371b87a17a4dfa0ff64bacfe656c5

Aliases

arxiv: 2004.09536 · arxiv_version: 2004.09536v1 · doi: 10.48550/arxiv.2004.09536 · pith_short_12: PUKH5S3SI7H4 · pith_short_16: PUKH5S3SI7H4BOD2 · pith_short_8: PUKH5S3S

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/PUKH5S3SI7H4BOD2LRTWXYD3PP \
  | 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: 7d147ecb7247cfc0b87a5c676be07b7bfae371b87a17a4dfa0ff64bacfe656c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b4fab79e1079233d20ea3e2d4f375a0d33e1d07444498c34f81c8269895f179",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-04-20T18:00:10Z",
    "title_canon_sha256": "e8b3736fa0a0f44d18506858b057b2c280a0e1dea0e1695cea561ea5bb43f8d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09536",
    "kind": "arxiv",
    "version": 1
  }
}