Pith Number

pith:LN2QVKGJ

pith:2012:LN2QVKGJV3I4CPT6NG5DOL7LHU

not attested not anchored not stored refs pending

Bounce and cyclic cosmology in extended nonlinear massive gravity

Athens, Caixia Gao (Mississippi U.), Emmanuel N. Saridakis (Natl. Tech. U., Inst. Astrophys.), McGill U.), Paris, Yi-Fu Cai (Arizona State U.

arxiv:1207.3786 v3 · 2012-07-14 · astro-ph.CO · gr-qc · 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{LN2QVKGJV3I4CPT6NG5DOL7LHU}

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

Topological charge and black hole photon spheres in massive gravity

Receipt and verification

First computed	2026-05-18T03:41:41.945089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b750aa8c9aed1c13e7e69ba372feb3d1051e9f3208c9b6aae1a67bf07b8f18d

Aliases

arxiv: 1207.3786 · arxiv_version: 1207.3786v3 · doi: 10.48550/arxiv.1207.3786 · pith_short_12: LN2QVKGJV3I4 · pith_short_16: LN2QVKGJV3I4CPT6 · pith_short_8: LN2QVKGJ

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/LN2QVKGJV3I4CPT6NG5DOL7LHU \
  | 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: 5b750aa8c9aed1c13e7e69ba372feb3d1051e9f3208c9b6aae1a67bf07b8f18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef458bf966e6412210db777117d8ab205359744dd6e02f877730d08be9adcce3",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-07-14T09:26:59Z",
    "title_canon_sha256": "7559137a571667af154a3632bdfb9074a2e21917f593afc974745fa688ac400e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3786",
    "kind": "arxiv",
    "version": 3
  }
}