Pith Number

pith:6TJC6BWT

pith:2020:6TJC6BWTCX36BSTYBRQVA4YJ34

not attested not anchored not stored refs pending

General formulation of cosmological perturbations in scalar-tensor dark energy coupled to dark matter

Ryotaro Kase, Shinji Tsujikawa

arxiv:2005.13809 v2 · 2020-05-28 · gr-qc · astro-ph.CO · 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{6TJC6BWTCX36BSTYBRQVA4YJ34}

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

Interacting dark energy in the early 2020s: a promising solution to the $H_0$ and cosmic shear tensions

Receipt and verification

First computed	2026-07-05T01:52:01.379985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4d22f06d315f7e0ca780c61507309df3c0482ea39dea20a7db97d87a2164465

Aliases

arxiv: 2005.13809 · arxiv_version: 2005.13809v2 · doi: 10.48550/arxiv.2005.13809 · pith_short_12: 6TJC6BWTCX36 · pith_short_16: 6TJC6BWTCX36BSTY · pith_short_8: 6TJC6BWT

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/6TJC6BWTCX36BSTYBRQVA4YJ34 \
  | 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: f4d22f06d315f7e0ca780c61507309df3c0482ea39dea20a7db97d87a2164465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61f9c700469a64e76728de37232d8396dbf43ae4bfb7a2c56a38919750845f0",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-05-28T07:07:13Z",
    "title_canon_sha256": "e13227ce2f75ec8b541aff00f2f165949fbc3b7e3700f7678cfbefdfdd9d73e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.13809",
    "kind": "arxiv",
    "version": 2
  }
}