Pith Number

pith:HM6WOMHU

pith:2024:HM6WOMHUC4XFESJJIKQ5UQEB6N

not attested not anchored not stored refs pending

Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions

Alnadhief H. A. Alfedeel, H. M. Elkhair, Javlon Rayimbaev, M. Koussour, N. Myrzakulov

arxiv:2403.15772 v1 · 2024-03-23 · 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{HM6WOMHUC4XFESJJIKQ5UQEB6N}

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

Energy conditions of bouncing solutions in quadratic curvature gravity coupled with a scalar field

Receipt and verification

First computed	2026-07-05T08:01:39.066778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3d6730f4172e52492942a1da4081f359140741a8f60b656da891f876ad8103

Aliases

arxiv: 2403.15772 · arxiv_version: 2403.15772v1 · doi: 10.48550/arxiv.2403.15772 · pith_short_12: HM6WOMHUC4XF · pith_short_16: HM6WOMHUC4XFESJJ · pith_short_8: HM6WOMHU

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/HM6WOMHUC4XFESJJIKQ5UQEB6N \
  | 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: 3b3d6730f4172e52492942a1da4081f359140741a8f60b656da891f876ad8103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9b854c2268a96f6c7a8ebee38a18b58f060334e71d7762ac700e4e76370063",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-03-23T09:02:30Z",
    "title_canon_sha256": "d9fb510e16a3c0d891f3bdecc77f0928636bc92f46e8d5dd437b2b709b8d6018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.15772",
    "kind": "arxiv",
    "version": 1
  }
}