Pith Number

pith:OYTRQ2HJ

pith:2019:OYTRQ2HJNEIBFD743ZOBXN3XNZ

not attested not anchored not stored refs pending

Evolution of scalar and vector cosmological perturbations through a bounce in metric $f(R)$ gravity in flat FLRW spacetime

Kaushik Bhattacharya, Pritha Bari

arxiv:1907.11607 v2 · 2019-07-26 · gr-qc · astro-ph.CO · 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{OYTRQ2HJNEIBFD743ZOBXN3XNZ}

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	2026-07-05T00:20:17.640862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76271868e96910128ffcde5c1bb7776e5c82178e87cbeb1cbba4994d33bf1049

Aliases

arxiv: 1907.11607 · arxiv_version: 1907.11607v2 · doi: 10.48550/arxiv.1907.11607 · pith_short_12: OYTRQ2HJNEIB · pith_short_16: OYTRQ2HJNEIBFD74 · pith_short_8: OYTRQ2HJ

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/OYTRQ2HJNEIBFD743ZOBXN3XNZ \
  | 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: 76271868e96910128ffcde5c1bb7776e5c82178e87cbeb1cbba4994d33bf1049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ca0a3bc11d1c5cee341a401459e133fcec88f534ed35fcd361bb9dd42b37e6",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-26T14:50:54Z",
    "title_canon_sha256": "10ad4cde10a9f83c90222b16ba01cf8368f4c25da1d4a2221c823eca59d4324c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11607",
    "kind": "arxiv",
    "version": 2
  }
}