Pith Number

pith:MR4B6SHX

pith:2002:MR4B6SHXXEMU3SFZUHST3WPLPA

not attested not anchored not stored refs pending

Lensed Density Perturbations in Braneworlds: An Alternative to Perturbations from Inflation

Daniel J. H. Chung, Katherine Freese

arxiv:astro-ph/0202066 v1 · 2002-02-04 · astro-ph · hep-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{MR4B6SHXXEMU3SFZUHST3WPLPA}

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

1 paper in Pith

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-07-04T16:29:21.623738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64781f48f7b9194dc8b9a1e53dd9eb783d643a466d6120a61c8ab6c4b8c97ba6

Aliases

arxiv: astro-ph/0202066 · arxiv_version: astro-ph/0202066v1 · doi: 10.48550/arxiv.astro-ph/0202066 · pith_short_12: MR4B6SHXXEMU · pith_short_16: MR4B6SHXXEMU3SFZ · pith_short_8: MR4B6SHX

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/MR4B6SHXXEMU3SFZUHST3WPLPA \
  | 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: 64781f48f7b9194dc8b9a1e53dd9eb783d643a466d6120a61c8ab6c4b8c97ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e740ecebe789f1ed239dffc190c0fd8c52d2f97f467b16836ac6374e06b116",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-02-04T15:07:39Z",
    "title_canon_sha256": "7e395bc313dfd0a6c7708267956b161c4c0e7b2e8836dd02c6663d9e77b5c38f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0202066",
    "kind": "arxiv",
    "version": 1
  }
}