Pith Number

pith:QQBVZDYJ

pith:2006:QQBVZDYJPEIPJCBF2IXCWBDHQY

not attested not anchored not stored refs pending

Second Order Gauge-Invariant Perturbations during Inflation

F. Finelli, G. Marozzi, G.P. Vacca, G. Venturi

arxiv:gr-qc/0604081 v3 · 2006-04-19 · gr-qc · astro-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{QQBVZDYJPEIPJCBF2IXCWBDHQY}

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.

Receipt and verification

First computed	2026-07-04T15:28:43.633434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84035c8f097910f48825d22e2b046786026c672ab0507f4d113c4146f57ed4ad

Aliases

arxiv: gr-qc/0604081 · arxiv_version: gr-qc/0604081v3 · doi: 10.48550/arxiv.gr-qc/0604081 · pith_short_12: QQBVZDYJPEIP · pith_short_16: QQBVZDYJPEIPJCBF · pith_short_8: QQBVZDYJ

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/QQBVZDYJPEIPJCBF2IXCWBDHQY \
  | 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: 84035c8f097910f48825d22e2b046786026c672ab0507f4d113c4146f57ed4ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d3b73171dacdf92d66381eec74ddf40cebb08781d1e9bd371518e2efeb9265",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-04-19T15:36:37Z",
    "title_canon_sha256": "9af8eb227fbbdca269a2e094be44495a19b47c7c1e78cf4713270ca360ba7489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0604081",
    "kind": "arxiv",
    "version": 3
  }
}