Pith Number

pith:TZJLOBWY

pith:2021:TZJLOBWYYJJQFEMULS36P4QA2Q

not attested not anchored not stored refs pending

Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling

Hayato Motohashi, Kazufumi Takahashi

arxiv:2106.07128 v2 · 2021-06-14 · 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{TZJLOBWYYJJQFEMULS36P4QA2Q}

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

4 papers in Pith

Radial Perturbations of Black Holes in DHOST Theories

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

Stable black hole solutions with cosmological hair

Testing Dark Energy with Black Hole Ringdown

Receipt and verification

First computed	2026-07-05T03:04:26.251180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e52b706d8c2530291945cb7e7f200d42f7191af471d93c3c6e336ddc79e5847

Aliases

arxiv: 2106.07128 · arxiv_version: 2106.07128v2 · doi: 10.48550/arxiv.2106.07128 · pith_short_12: TZJLOBWYYJJQ · pith_short_16: TZJLOBWYYJJQFEMU · pith_short_8: TZJLOBWY

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/TZJLOBWYYJJQFEMULS36P4QA2Q \
  | 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: 9e52b706d8c2530291945cb7e7f200d42f7191af471d93c3c6e336ddc79e5847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6049b22122d020b2ff60e5440059cbe8d59144f8c2e5c016da6928747061b6e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-14T01:37:03Z",
    "title_canon_sha256": "6f1350822c0663d5a8ca5c9535aa09edbd1c5ac84aeefdbe92aa4e27a7991946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.07128",
    "kind": "arxiv",
    "version": 2
  }
}