Pith Number

pith:CRL3C25C

pith:2010:CRL3C25CDNRLY2BDR4YRAQGH3Z

not attested not anchored not stored refs pending

Cyclic cosmology from Lagrange-multiplier modified gravity

Emmanuel N. Saridakis, Yi-Fu Cai

arxiv:1007.3204 v2 · 2010-07-19 · 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{CRL3C25CDNRLY2BDR4YRAQGH3Z}

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	2026-05-18T04:31:31.040032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1457b16ba21b62bc68238f311040c7de673c86a5c96cdba408365f9c8c065e54

Aliases

arxiv: 1007.3204 · arxiv_version: 1007.3204v2 · doi: 10.48550/arxiv.1007.3204 · pith_short_12: CRL3C25CDNRL · pith_short_16: CRL3C25CDNRLY2BD · pith_short_8: CRL3C25C

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/CRL3C25CDNRLY2BDR4YRAQGH3Z \
  | 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: 1457b16ba21b62bc68238f311040c7de673c86a5c96cdba408365f9c8c065e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a120d58e21fe4c2f1cb717e86bc478e1b3c5dff42625b19462fda7c28ce528be",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-07-19T16:41:19Z",
    "title_canon_sha256": "f8787198587197d7dd1bf8330f267389fcfa874eaf8e579efb11f4ec2b69ca16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3204",
    "kind": "arxiv",
    "version": 2
  }
}