Pith Number

pith:HRDQ66ZH

pith:2019:HRDQ66ZHICAM6Y6DXAVGMOW42L

not attested not anchored not stored refs pending

Scalar perturbations in $f(T)$ gravity using the $1+3$ covariant approach

Alvaro de la Cruz-Dombriz, Amare Abebe, David F. Mota, Joseph Ntahompagaze, Shambel Sahlu

arxiv:1907.03563 v4 · 2019-07-08 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRDQ66ZHICAM6Y6DXAVGMOW42L}

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

1 paper in Pith

$f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom

Receipt and verification

First computed	2026-07-05T01:12:20.825537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c470f7b274080cf63c3b82a663adcd2cf6b3bfa8cd6912211e190a806852d88

Aliases

arxiv: 1907.03563 · arxiv_version: 1907.03563v4 · doi: 10.48550/arxiv.1907.03563 · pith_short_12: HRDQ66ZHICAM · pith_short_16: HRDQ66ZHICAM6Y6D · pith_short_8: HRDQ66ZH

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/HRDQ66ZHICAM6Y6DXAVGMOW42L \
  | 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: 3c470f7b274080cf63c3b82a663adcd2cf6b3bfa8cd6912211e190a806852d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f1309693948fd4b33a3a04933c9c8de34ec9cc508e5916d362c656ac900403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-08T12:39:24Z",
    "title_canon_sha256": "686484774c2ccf09dd0571e6ec3cb5a3e99de97aeacb992286acf86554912af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03563",
    "kind": "arxiv",
    "version": 4
  }
}