Pith Number

pith:P5IZWKWH

pith:2019:P5IZWKWHH6ECOWJAP5BMTDMFNP

not attested not anchored not stored refs pending

Primordial backgrounds of relic gravitons

Massimo Giovannini

arxiv:1912.07065 v2 · 2019-12-15 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5IZWKWHH6ECOWJAP5BMTDMFNP}

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

3 papers in Pith

Generalising gravitationally induced decoherence beyond linear environmental interactions in a microscopic quantum mechanical toy model

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Graviton Production from Inflaton Condensate: Boltzmann vs Bogoliubov

Receipt and verification

First computed	2026-07-05T00:56:40.825501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f519b2ac73f882759207f42c98d856bc3b61e0edc3f6a7e27ef957302410448

Aliases

arxiv: 1912.07065 · arxiv_version: 1912.07065v2 · doi: 10.48550/arxiv.1912.07065 · pith_short_12: P5IZWKWHH6EC · pith_short_16: P5IZWKWHH6ECOWJA · pith_short_8: P5IZWKWH

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/P5IZWKWHH6ECOWJAP5BMTDMFNP \
  | 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: 7f519b2ac73f882759207f42c98d856bc3b61e0edc3f6a7e27ef957302410448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822f94e8e70ab5fc51cd012541a3bc8a6dd22696fde4380109964ca8de89141e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-12-15T16:32:08Z",
    "title_canon_sha256": "a0c107ea5c7fef2286f2ad94d768b4e21282d12a5cd5fdd932cb1f566984be0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07065",
    "kind": "arxiv",
    "version": 2
  }
}