Pith Number

pith:U5TULJ3J

pith:2021:U5TULJ3JBS56U7XZ6XCGXM4W5F

not attested not anchored not stored refs pending

Black hole perturbations in modified gravity

David Langlois, Hugo Roussille, Karim Noui

arxiv:2103.14750 v3 · 2021-03-26 · gr-qc · astro-ph.CO · 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{U5TULJ3JBS56U7XZ6XCGXM4W5F}

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

Radial Perturbations of Black Holes in DHOST Theories

Inverting no-hair theorems: How requiring General Relativity solutions restricts scalar-tensor theories

Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality

Receipt and verification

First computed	2026-07-05T03:40:31.524982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76745a7690cbbea7ef9f5c46bb396e94d1cd661ff5099ef768aaca42f699e2e

Aliases

arxiv: 2103.14750 · arxiv_version: 2103.14750v3 · doi: 10.48550/arxiv.2103.14750 · pith_short_12: U5TULJ3JBS56 · pith_short_16: U5TULJ3JBS56U7XZ · pith_short_8: U5TULJ3J

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/U5TULJ3JBS56U7XZ6XCGXM4W5F \
  | 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: a76745a7690cbbea7ef9f5c46bb396e94d1cd661ff5099ef768aaca42f699e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b509a43cc8d6e2031b0b28d5137b012818b79fb096dc7b1be690eaf5b2aad74",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-03-26T21:56:01Z",
    "title_canon_sha256": "e83198b212b8bb731de756e693b55a2099da7971d2814fd81c48f3a8ec4b8727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.14750",
    "kind": "arxiv",
    "version": 3
  }
}