Pith Number

pith:QENSAGI5

pith:2007:QENSAGI5SP722KSQ432Q3IVGNG

not attested not anchored not stored refs pending

Higher-order gravity and the cosmological background of gravitational waves

M. De Laurentis, M. Francaviglia, S. Capozziello

arxiv:0712.2980 v1 · 2007-12-18 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QENSAGI5SP722KSQ432Q3IVGNG}

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

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves

Receipt and verification

First computed	2026-07-04T15:28:04.371591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

811b20191d93ffad2a50e6f50da2a669b46535b54a619668b3e49caca1d82cdf

Aliases

arxiv: 0712.2980 · arxiv_version: 0712.2980v1 · doi: 10.48550/arxiv.0712.2980 · pith_short_12: QENSAGI5SP72 · pith_short_16: QENSAGI5SP722KSQ · pith_short_8: QENSAGI5

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/QENSAGI5SP722KSQ432Q3IVGNG \
  | 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: 811b20191d93ffad2a50e6f50da2a669b46535b54a619668b3e49caca1d82cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5112f6b11d32839dccbba1141f97664a95dcbe946a97ba2cb53f90b5e691df1b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-12-18T15:08:32Z",
    "title_canon_sha256": "94cad16034746a084f01e9c679223b0ab476e13d213e7da488f032544aa3a375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2980",
    "kind": "arxiv",
    "version": 1
  }
}