Pith Number

pith:FRGREI6D

pith:2006:FRGREI6DEY3MCKAIFBKSW3O6TO

not attested not anchored not stored refs pending

Method of comparison equations for cosmological perturbations

A. Kamenshchik, F. Finelli, G. Venturi, M. Luzzi, R. Casadio

arxiv:gr-qc/0603026 v1 · 2006-03-08 · 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{FRGREI6DEY3MCKAIFBKSW3O6TO}

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	2026-07-04T17:01:26.508381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4d1223c32636c1280828552b6dde9b8e1104e8f1fab2c66077e854f6d59a92

Aliases

arxiv: gr-qc/0603026 · arxiv_version: gr-qc/0603026v1 · doi: 10.48550/arxiv.gr-qc/0603026 · pith_short_12: FRGREI6DEY3M · pith_short_16: FRGREI6DEY3MCKAI · pith_short_8: FRGREI6D

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/FRGREI6DEY3MCKAIFBKSW3O6TO \
  | 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: 2c4d1223c32636c1280828552b6dde9b8e1104e8f1fab2c66077e854f6d59a92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba54e8fc95f0e5b844758f0a7ec72514ce9038c610548e9193615e7c96956f31",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-03-08T15:40:02Z",
    "title_canon_sha256": "4b5cb6d3915d1eb5538467c2bf3fd4f5a7f6a5bfd338d8dafa6ebd42482aaea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0603026",
    "kind": "arxiv",
    "version": 1
  }
}