Pith Number

pith:4235BCQZ

pith:2009:4235BCQZUKVZMSPKWSYXFWF5DW

not attested not anchored not stored refs pending

Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity

Daichi Suzuki, Hiroyuki Tashiro, Tsutomu Kobayashi

arxiv:0912.4641 v2 · 2009-12-23 · 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{4235BCQZUKVZMSPKWSYXFWF5DW}

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

2 papers in Pith

Stable black hole solutions with cosmological hair

Testing Dark Energy with Black Hole Ringdown

Receipt and verification

First computed	2026-05-18T02:24:45.406307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b7d08a19a2ab9649eab4b172d8bd1d8a7f1818bc09e4fda0b0680368175cc4

Aliases

arxiv: 0912.4641 · arxiv_version: 0912.4641v2 · doi: 10.48550/arxiv.0912.4641 · pith_short_12: 4235BCQZUKVZ · pith_short_16: 4235BCQZUKVZMSPK · pith_short_8: 4235BCQZ

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/4235BCQZUKVZMSPKWSYXFWF5DW \
  | 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: e6b7d08a19a2ab9649eab4b172d8bd1d8a7f1818bc09e4fda0b0680368175cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8cddd48e9caf88ae5214c9bd676e5b9e4f16d2244872c0642517775faca369",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-23T13:50:20Z",
    "title_canon_sha256": "3eca19c7c91444a66de682754d2d6e7257826358a14284e9c6178bdefd26e427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4641",
    "kind": "arxiv",
    "version": 2
  }
}