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Pith Number

pith:DU5DTFJU

pith:2000:DU5DTFJUB246LERRF23YOMXCQ5
not attested not anchored not stored refs pending

Brane World Cosmology - Gauge-Invariant Formalism for Perturbation

Akihiro Ishibashi, Hideo Kodama, Osamu Seto

arxiv:hep-th/0004160 v3 · 2000-04-24 · hep-th · astro-ph · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DU5DTFJUB246LERRF23YOMXCQ5}

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

Receipt and verification
First computed 2026-07-04T16:20:44.779055Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1d3a3995340eb9e592312eb78732e2877130b1f2740ac1cbbe74084d6e852cdc

Aliases

arxiv: hep-th/0004160 · arxiv_version: hep-th/0004160v3 · doi: 10.48550/arxiv.hep-th/0004160 · pith_short_12: DU5DTFJUB246 · pith_short_16: DU5DTFJUB246LERR · pith_short_8: DU5DTFJU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DU5DTFJUB246LERRF23YOMXCQ5 \
  | 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: 1d3a3995340eb9e592312eb78732e2877130b1f2740ac1cbbe74084d6e852cdc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "320f68889a5309fc772f768b73c444b077f12a7c160b8c73756d0dbd4016b079",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-04-24T09:45:19Z",
    "title_canon_sha256": "210b8e91775e705ea5313aad04da4e0768a846de0a99fe6611395d0ecf78d63d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0004160",
    "kind": "arxiv",
    "version": 3
  }
}