Pith Number

pith:TOORIWDT

pith:2020:TOORIWDTC7EW5O3PXGYNMRX3YQ

not attested not anchored not stored refs pending

Modified gravity with an exponential function of curvature

L. N. Granda

arxiv:2003.09006 v2 · 2020-03-19 · 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{TOORIWDTC7EW5O3PXGYNMRX3YQ}

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

1 paper in Pith

Modified gravity/Dynamical Dark Energy vs $\Lambda$CDM: is the game over?

Receipt and verification

First computed	2026-07-05T01:18:56.621014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9d14587317c96ebb6fb9b0d646fbc40ea260d72d405649cc8eb3e7f67bb7e3

Aliases

arxiv: 2003.09006 · arxiv_version: 2003.09006v2 · doi: 10.48550/arxiv.2003.09006 · pith_short_12: TOORIWDTC7EW · pith_short_16: TOORIWDTC7EW5O3P · pith_short_8: TOORIWDT

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/TOORIWDTC7EW5O3PXGYNMRX3YQ \
  | 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: 9b9d14587317c96ebb6fb9b0d646fbc40ea260d72d405649cc8eb3e7f67bb7e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cbbfec9dd72fb5a12194f6f8fbf5a80bb0d4876acd1dcba0aef3a3f929dae0c",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-19T20:11:18Z",
    "title_canon_sha256": "39727a27bab9bec33a94cd5735be8d52f23cbdbc26008cb0376b52754403e5f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.09006",
    "kind": "arxiv",
    "version": 2
  }
}