Pith Number

pith:ITQSVX4F

pith:2006:ITQSVX4FH3JCQRY2OQ6NMU3I53

not attested not anchored not stored refs pending

Second-order Gauge Invariant Cosmological Perturbation Theory: -- Einstein equations in terms of gauge invariant variables --

Kouji Nakamura

arxiv:gr-qc/0605108 v3 · 2006-05-19 · gr-qc · astro-ph · hep-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITQSVX4FH3JCQRY2OQ6NMU3I53}

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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

2 papers in Pith

Matching second-order classical and 1-loop quantum tensor power spectra in de Sitter spacetime

Thermal channels of scalar and tensor waves in Jordan-frame scalar--tensor gravity

Receipt and verification

First computed	2026-07-04T15:17:00.721199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e12adf853ed228471a743cd65368eeeeea330ec29ba9312473cef5c8144efd

Aliases

arxiv: gr-qc/0605108 · arxiv_version: gr-qc/0605108v3 · doi: 10.48550/arxiv.gr-qc/0605108 · pith_short_12: ITQSVX4FH3JC · pith_short_16: ITQSVX4FH3JCQRY2 · pith_short_8: ITQSVX4F

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/ITQSVX4FH3JCQRY2OQ6NMU3I53 \
  | 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: 44e12adf853ed228471a743cd65368eeeeea330ec29ba9312473cef5c8144efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f53387de1233a7d79ac81a5fe1f3835e7b4a1e206982002742d59101d34d0fe",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-05-19T06:09:01Z",
    "title_canon_sha256": "c31256f9d98d5fb5b15cf982531c7089f42928f86e5409babd40dab0b8711727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0605108",
    "kind": "arxiv",
    "version": 3
  }
}