Pith Number

pith:H3PTDPMP

pith:2000:H3PTDPMPEFG5MHLBOEVCGHOVQN

not attested not anchored not stored refs pending

Cosmological Perturbations in Brane-World Theories: Formalism

A. Lukas, C. van de Bruck, M. Dorca, R.H. Brandenberger

arxiv:hep-th/0005032 v2 · 2000-05-03 · hep-th · astro-ph · 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{H3PTDPMPEFG5MHLBOEVCGHOVQN}

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	2026-07-04T15:29:37.759425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3edf31bd8f214dd61d61712a231dd5836b368e525b8fb6e64ca7528bd2044532

Aliases

arxiv: hep-th/0005032 · arxiv_version: hep-th/0005032v2 · doi: 10.48550/arxiv.hep-th/0005032 · pith_short_12: H3PTDPMPEFG5 · pith_short_16: H3PTDPMPEFG5MHLB · pith_short_8: H3PTDPMP

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/H3PTDPMPEFG5MHLBOEVCGHOVQN \
  | 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: 3edf31bd8f214dd61d61712a231dd5836b368e525b8fb6e64ca7528bd2044532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84ebcd3cbc17eae75f0e2695b0add5e7bed7ce50008b63d8c32d89e9b5d332a6",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-05-03T18:55:19Z",
    "title_canon_sha256": "1c5d1f335d4ad4cdbcf3b457f62b90460f792058f1112fa4ccaf5acbc75287de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0005032",
    "kind": "arxiv",
    "version": 2
  }
}