Pith Number

pith:3DPNLCN4

pith:2006:3DPNLCN4VETPRCXZAQGAOWATMK

not attested not anchored not stored refs pending

On the Growth of Perturbations as a Test of Dark Energy

Edmund Bertschinger

arxiv:astro-ph/0604485 v3 · 2006-04-23 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DPNLCN4VETPRCXZAQGAOWATMK}

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

Galaxy formation in modified gravity -- II. galaxy halo connection and assembly bias

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-07-04T15:19:42.837340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ded589bca926f88af9040c07581362bb86ff02bbf39504598689ed5ee9d779

Aliases

arxiv: astro-ph/0604485 · arxiv_version: astro-ph/0604485v3 · doi: 10.48550/arxiv.astro-ph/0604485 · pith_short_12: 3DPNLCN4VETP · pith_short_16: 3DPNLCN4VETPRCXZ · pith_short_8: 3DPNLCN4

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/3DPNLCN4VETPRCXZAQGAOWATMK \
  | 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: d8ded589bca926f88af9040c07581362bb86ff02bbf39504598689ed5ee9d779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c33232be8db31557a79a8479bb7f5e3888f8f5d50f8c3875359d4dc68407b4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-04-23T12:07:20Z",
    "title_canon_sha256": "9c18500440245d45cdb747f64176e8dc690cef1ca136424e2a188678d0b9723e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0604485",
    "kind": "arxiv",
    "version": 3
  }
}