Pith Number

pith:3XWRBOM6

pith:2021:3XWRBOM6MMJE55MR5YWSXK4LGT

not attested not anchored not stored refs pending

Effective Actions for Loop Quantum Cosmology in Fourth-Order Gravity

Daniele Vernieri, Francisco S. N. Lobo, Marcello Miranda, Salvatore Capozziello

arxiv:2107.07777 v2 · 2021-07-16 · 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{3XWRBOM6MMJE55MR5YWSXK4LGT}

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	2026-07-05T03:34:45.603369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dded10b99e63124ef591ee2d2bab8b34d8c770ab7b64a833dc57a4557a9c8a1e

Aliases

arxiv: 2107.07777 · arxiv_version: 2107.07777v2 · doi: 10.48550/arxiv.2107.07777 · pith_short_12: 3XWRBOM6MMJE · pith_short_16: 3XWRBOM6MMJE55MR · pith_short_8: 3XWRBOM6

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/3XWRBOM6MMJE55MR5YWSXK4LGT \
  | 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: dded10b99e63124ef591ee2d2bab8b34d8c770ab7b64a833dc57a4557a9c8a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68737cd3f545a97b264c2142bfe69f81fda59df0620303ed4d5d4c368cd3d1c2",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-16T09:05:09Z",
    "title_canon_sha256": "68f5f93cc725df22525f83af46559535b262e37452e46063506715f96b4fcece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07777",
    "kind": "arxiv",
    "version": 2
  }
}