Pith Number

pith:3ZGRH2EI

pith:2010:3ZGRH2EIJXK565UHJZQYHYRUYZ

not attested not anchored not stored refs pending

Perturbations in Matter Bounce with Non-minimal Coupling

Kwei-Chou Yang, Taotao Qiu

arxiv:1007.2571 v2 · 2010-07-15 · astro-ph.CO · gr-qc · hep-ph · 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{3ZGRH2EIJXK565UHJZQYHYRUYZ}

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 Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Receipt and verification

First computed	2026-05-18T04:34:27.369080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4d13e8884dd5df76874e6183e234c679705d670a552bb722c8d8f3ef365ead

Aliases

arxiv: 1007.2571 · arxiv_version: 1007.2571v2 · doi: 10.48550/arxiv.1007.2571 · pith_short_12: 3ZGRH2EIJXK5 · pith_short_16: 3ZGRH2EIJXK565UH · pith_short_8: 3ZGRH2EI

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/3ZGRH2EIJXK565UHJZQYHYRUYZ \
  | 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: de4d13e8884dd5df76874e6183e234c679705d670a552bb722c8d8f3ef365ead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0265e9503c9ecceb99dada76fc26e08a0cab9c914543f0739d8e1d5932966733",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-07-15T14:25:18Z",
    "title_canon_sha256": "b93fb04b64cb64ef6afa05229b5f2710682d9d57a064a76e71cd10c244ba2c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2571",
    "kind": "arxiv",
    "version": 2
  }
}