Pith Number

pith:Z4PDIKI3

pith:2022:Z4PDIKI3RNMG4KJHBWVKCWSA32

not attested not anchored not stored refs pending

Relic gravitons at intermediate frequencies and the expansion history of the Universe

Massimo Giovannini

arxiv:2203.13586 v1 · 2022-03-25 · 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{Z4PDIKI3RNMG4KJHBWVKCWSA32}

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

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves

Receipt and verification

First computed	2026-07-05T04:27:54.957144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1e34291b8b586e29270daaa15a40de973f3312c908ee01b4fbe7fff1ce43e8

Aliases

arxiv: 2203.13586 · arxiv_version: 2203.13586v1 · doi: 10.48550/arxiv.2203.13586 · pith_short_12: Z4PDIKI3RNMG · pith_short_16: Z4PDIKI3RNMG4KJH · pith_short_8: Z4PDIKI3

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/Z4PDIKI3RNMG4KJHBWVKCWSA32 \
  | 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: cf1e34291b8b586e29270daaa15a40de973f3312c908ee01b4fbe7fff1ce43e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d8923ec0ebd7f61f9ec66a1cd05795f80132450e307ae3e0c29c8d5c475ae2",
    "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": "2022-03-25T11:29:34Z",
    "title_canon_sha256": "0c9fea825c7ab247e9606937878a2c7571d51f51a65523d318a00b04a11c5a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.13586",
    "kind": "arxiv",
    "version": 1
  }
}