Pith Number

pith:Y7NUGNKX

pith:2020:Y7NUGNKXP3RV2WQE4YAKKCW5FT

not attested not anchored not stored refs pending

The response of ultralight dark matter to supermassive black holes and binaries

Lorenzo Annulli, Rodrigo Vicente, Vitor Cardoso

arxiv:2009.00012 v1 · 2020-08-31 · gr-qc · astro-ph.HE · hep-ph · 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{Y7NUGNKXP3RV2WQE4YAKKCW5FT}

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

7 papers in Pith

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

Resonances as signatures of scalar clouds in eccentric extreme-mass-ratio inspirals

A multi-parameter expansion for the evolution of asymmetric binaries in astrophysical environments

Scalar fields around black hole binaries in LIGO-Virgo-KAGRA

Stellar Superradiance and Low-Energy Absorption in Dense Nuclear Media

Receipt and verification

First computed	2026-07-05T01:39:05.829860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7db4335577ee35d5a04e600a50add2cd5499bcef13b8bda5f01d3bfae1b3a45

Aliases

arxiv: 2009.00012 · arxiv_version: 2009.00012v1 · doi: 10.48550/arxiv.2009.00012 · pith_short_12: Y7NUGNKXP3RV · pith_short_16: Y7NUGNKXP3RV2WQE · pith_short_8: Y7NUGNKX

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/Y7NUGNKXP3RV2WQE4YAKKCW5FT \
  | 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: c7db4335577ee35d5a04e600a50add2cd5499bcef13b8bda5f01d3bfae1b3a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e407069561b0475a3caa74ade3c06a50da0cb24f29e836b930bebaf5692032d5",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-08-31T18:00:01Z",
    "title_canon_sha256": "bdab89b60142facb4a5b6a448382f8b022b1b3a5a73d45244aba13b0d94cbbd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.00012",
    "kind": "arxiv",
    "version": 1
  }
}