Pith Number

pith:X5TUPVZG

pith:2018:X5TUPVZGAAN74OFQ7UG6KLCO3Z

not attested not anchored not stored refs pending

Linear cosmological perturbations in almost scale-invariant fourth-order gravity

Jorge L. Fuentes, Karim A. Malik, Usman A. Gillani

arxiv:1812.00938 v1 · 2018-12-03 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5TUPVZGAAN74OFQ7UG6KLCO3Z}

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	2026-05-17T23:59:18.555531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6747d726001bfe38b0fd0de52c4ede65ec03072ece04e2ff9d4b08afc7788b

Aliases

arxiv: 1812.00938 · arxiv_version: 1812.00938v1 · doi: 10.48550/arxiv.1812.00938 · pith_short_12: X5TUPVZGAAN7 · pith_short_16: X5TUPVZGAAN74OFQ · pith_short_8: X5TUPVZG

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/X5TUPVZGAAN74OFQ7UG6KLCO3Z \
  | 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: bf6747d726001bfe38b0fd0de52c4ede65ec03072ece04e2ff9d4b08afc7788b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae8963c0c5f5dd5f15bd441a0b981b1aaf34010b828e21edea8621d72a700c28",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-12-03T18:06:06Z",
    "title_canon_sha256": "dc14a7b1f3be72b177991de4dca7f380eb8b423e17f8b0dbeebc2ff6c7c1286a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00938",
    "kind": "arxiv",
    "version": 1
  }
}