Pith Number

pith:HBQG7W7C

pith:2024:HBQG7W7CBTKFB3F32ZPJOXQBK2

not attested not anchored not stored refs pending

Gravitational wave astronomy and the expansion history of the Universe

Massimo Giovannini

arxiv:2412.13968 v2 · 2024-12-18 · gr-qc · astro-ph.CO · hep-ex · 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{HBQG7W7CBTKFB3F32ZPJOXQBK2}

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

2 papers in Pith

Primary gravitational waves at high frequencies II: Emergence of the exponential cut-off in the power spectrum

Primary gravitational waves at high frequencies I: Origin of suppression in the power spectrum

Receipt and verification

First computed	2026-07-05T11:08:14.605616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38606fdbe20cd450ecbbd65e975e015682d8fa009ef8fd6939e3727cbb119e5a

Aliases

arxiv: 2412.13968 · arxiv_version: 2412.13968v2 · doi: 10.48550/arxiv.2412.13968 · pith_short_12: HBQG7W7CBTKF · pith_short_16: HBQG7W7CBTKFB3F3 · pith_short_8: HBQG7W7C

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/HBQG7W7CBTKFB3F32ZPJOXQBK2 \
  | 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: 38606fdbe20cd450ecbbd65e975e015682d8fa009ef8fd6939e3727cbb119e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c0eaea2dfd31174e81e8ab1d32447b06030f31f6a46b79d181625df373445f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ex",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-18T15:48:31Z",
    "title_canon_sha256": "73b6a9fe96e1e35f4ce54b11c6e1576147c4e132690e99eed257cb9ed1182fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13968",
    "kind": "arxiv",
    "version": 2
  }
}