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Pith Number

pith:FCGGPQ7K

pith:2013:FCGGPQ7KFDZZWPOTNEEVUCKTSI
not attested not anchored not stored refs pending

A practical approach to cosmological perturbations in modified gravity

Alessandra Silvestri, Levon Pogosian, Roman V. Buniy

arxiv:1302.1193 v2 · 2013-02-05 · astro-ph.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FCGGPQ7KFDZZWPOTNEEVUCKTSI}

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 2026-05-18T01:51:50.129394Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

288c67c3ea28f39b3dd369095a09539213bf29cef0f8bf3ec92a82d36a2e574c

Aliases

arxiv: 1302.1193 · arxiv_version: 1302.1193v2 · doi: 10.48550/arxiv.1302.1193 · pith_short_12: FCGGPQ7KFDZZ · pith_short_16: FCGGPQ7KFDZZWPOT · pith_short_8: FCGGPQ7K
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FCGGPQ7KFDZZWPOTNEEVUCKTSI \
  | 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: 288c67c3ea28f39b3dd369095a09539213bf29cef0f8bf3ec92a82d36a2e574c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb90d292150d2e019f016fb9b08656ecc9f4c9f6a521250d65a2503a0d144631",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-02-05T20:59:50Z",
    "title_canon_sha256": "86fd3682ea1ed68376948cbd0d26524353a463f0a98926e0b44c9956ba2ce832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1193",
    "kind": "arxiv",
    "version": 2
  }
}