Pith Number

pith:MFSLB6BE

pith:2022:MFSLB6BEDH7IG6CLV3Q5SWD6LB

not attested not anchored not stored refs pending

Boltzmann or Bogoliubov? Approaches Compared in Gravitational Particle Production

Kin-ya Oda, Kunio Kaneta, Sung Mook Lee

arxiv:2206.10929 v2 · 2022-06-22 · astro-ph.CO · hep-ph · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFSLB6BEDH7IG6CLV3Q5SWD6LB}

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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

5 papers in Pith

Cosmological gravitational particle production in multifield inflation

Creation of spin-3/2 dark matter via cosmological gravitational particle production

Graviton Production from Inflaton Condensate: Boltzmann vs Bogoliubov

CMB signatures of gravity-mediated dark radiation in $\mathbf{\Delta N_{\rm eff}}$

A Unified Bogoliubov Approach to Primordial Gravitational Waves: From Inflation to Reheating

Receipt and verification

First computed	2026-07-05T04:55:17.829575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6164b0f82419fe83784baee1d9587e58442ff42adcdca62468fd2a78b52088ec

Aliases

arxiv: 2206.10929 · arxiv_version: 2206.10929v2 · doi: 10.48550/arxiv.2206.10929 · pith_short_12: MFSLB6BEDH7I · pith_short_16: MFSLB6BEDH7IG6CL · pith_short_8: MFSLB6BE

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/MFSLB6BEDH7IG6CLV3Q5SWD6LB \
  | 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: 6164b0f82419fe83784baee1d9587e58442ff42adcdca62468fd2a78b52088ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb82803d699748ed4668a9c9b803c173ad561d229f26bdc7eede88a46a12d55a",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-06-22T09:14:39Z",
    "title_canon_sha256": "7a580090afb78fad7669aced396f0918af7e1f09982a0fb623a5781b4f5445c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.10929",
    "kind": "arxiv",
    "version": 2
  }
}