Pith Number

pith:5FNUMUDN

pith:2021:5FNUMUDNRYRCBSXDRF4RGXIVUX

not attested not anchored not stored refs pending

Black hole perturbation theory and gravitational self-force

Adam Pound, Barry Wardell

arxiv:2101.04592 v4 · 2021-01-12 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FNUMUDNRYRCBSXDRF4RGXIVUX}

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

14 papers in Pith

The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory

Self-force calculations with numerical relativity methods

Massive scalar fields in eccentric regime: Detectability and constraints from LISA observations of extreme mass-ratio inspirals

Quadrupole and quadratic-in-spin effects in quasicircular, spinning, asymmetric binaries

Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries

Receipt and verification

First computed	2026-07-05T07:37:09.508058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95b46506d8e2220cae38979135d15a5edbe4ef0738215ec46f97cccc855c1d1

Aliases

arxiv: 2101.04592 · arxiv_version: 2101.04592v4 · doi: 10.48550/arxiv.2101.04592 · pith_short_12: 5FNUMUDNRYRC · pith_short_16: 5FNUMUDNRYRCBSXD · pith_short_8: 5FNUMUDN

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/5FNUMUDNRYRCBSXDRF4RGXIVUX \
  | 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: e95b46506d8e2220cae38979135d15a5edbe4ef0738215ec46f97cccc855c1d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c430ed369531044b3a556375d2824a0c377091d0e7c6c5b4b36358509249506a",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-12T16:44:53Z",
    "title_canon_sha256": "76ce20be57bb4166879ffb90c1f4db08248b686c234769d348ec4e5e280f9d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.04592",
    "kind": "arxiv",
    "version": 4
  }
}