Pith Number

pith:F23K4K4C

pith:2021:F23K4K4CS6WYYMRDIZEQ4VSYF7

not attested not anchored not stored refs pending

On the number of $e$-folds in the Jordan and Einstein frames

Antonio Racioppi, Martin Vasar

arxiv:2111.09677 v2 · 2021-11-18 · gr-qc · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F23K4K4CS6WYYMRDIZEQ4VSYF7}

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

3 papers in Pith

Natural Metric-Affine Inflation: Reloaded

Quasi-pole inflation in metric-affine gravity

Induced Multi-phase Inflation with Reheating: Leptogenesis and Dark Matter Production in Metric versus Palatini

Receipt and verification

First computed	2026-07-05T04:28:08.572146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb6ae2b8297ad8c322346490e56582fe59455fc13ecda6e7c9f0a2414201262

Aliases

arxiv: 2111.09677 · arxiv_version: 2111.09677v2 · doi: 10.48550/arxiv.2111.09677 · pith_short_12: F23K4K4CS6WY · pith_short_16: F23K4K4CS6WYYMRD · pith_short_8: F23K4K4C

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/F23K4K4CS6WYYMRDIZEQ4VSYF7 \
  | 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: 2eb6ae2b8297ad8c322346490e56582fe59455fc13ecda6e7c9f0a2414201262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9312822234129bd73f03bc4163f60e89783d58978c865584f6fe7ec2344acff3",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-18T13:27:58Z",
    "title_canon_sha256": "7f30f854174b183a6dc6769711e3209fda291f539ffea04e7462b82add6fdb92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09677",
    "kind": "arxiv",
    "version": 2
  }
}