Pith Number

pith:HBNPGPC7

pith:2010:HBNPGPC7BZDG4TWNDOCTL2IDOZ

not attested not anchored not stored refs pending

Bouncing inflation in nonlinear $R^2+R^4$ gravitational model

Alexander Zhuk, Tamerlan Saidov

arxiv:1002.4138 v2 · 2010-02-22 · hep-th · astro-ph.HE · gr-qc · 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{HBNPGPC7BZDG4TWNDOCTL2IDOZ}

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

2 papers in Pith

Primordial black holes formation in inflationary $F(R)$ models with scalar fields

Bouncing cosmologies from Born-Infeld-type gravity

Receipt and verification

First computed	2026-05-18T02:33:42.241185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385af33c5f0e466e4ecd1b8535e9037640c73ae9a5893fadd3db8aa85250ac47

Aliases

arxiv: 1002.4138 · arxiv_version: 1002.4138v2 · doi: 10.48550/arxiv.1002.4138 · pith_short_12: HBNPGPC7BZDG · pith_short_16: HBNPGPC7BZDG4TWN · pith_short_8: HBNPGPC7

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/HBNPGPC7BZDG4TWNDOCTL2IDOZ \
  | 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: 385af33c5f0e466e4ecd1b8535e9037640c73ae9a5893fadd3db8aa85250ac47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12bde9a892cf199157c1acbf100bdcd2f64674b7f2f3ca19096518812c2f9b7",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-02-22T16:11:57Z",
    "title_canon_sha256": "ee9f5322d0b30b4420d1b6004ec88b025854f3e2005a53482bf4bf9a82838b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4138",
    "kind": "arxiv",
    "version": 2
  }
}