Pith Number

pith:4NKFZR4G

pith:2019:4NKFZR4GOLT6AAUGDXWIDCEA3O

not attested not anchored not stored refs pending

Propagation of the gravitational waves in a cosmological background

Xian Gao, Xun-Yang Hong

arxiv:1906.07131 v1 · 2019-06-17 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NKFZR4GOLT6AAUGDXWIDCEA3O}

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

3 papers in Pith

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Transient Parity Violation during Inflation: Implications for PTA Gravitational Waves

Spatially covariant gravity with two degrees of freedom: A perturbative analysis up to cubic order

Receipt and verification

First computed	2026-07-05T00:51:28.963544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3545cc78672e7e002861dec818880db9ab5d1407e07ed29c94e0b4ab71df58b

Aliases

arxiv: 1906.07131 · arxiv_version: 1906.07131v1 · doi: 10.48550/arxiv.1906.07131 · pith_short_12: 4NKFZR4GOLT6 · pith_short_16: 4NKFZR4GOLT6AAUG · pith_short_8: 4NKFZR4G

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/4NKFZR4GOLT6AAUGDXWIDCEA3O \
  | 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: e3545cc78672e7e002861dec818880db9ab5d1407e07ed29c94e0b4ab71df58b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ee8d0e025a767955c3fe863415c3079745db9d6117bbc68962e063e7ffc7c5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-06-17T17:01:34Z",
    "title_canon_sha256": "ebe6c9198ed908d7801e5921b5ec700da6195a6aeca2b7de6f9070162f5980a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07131",
    "kind": "arxiv",
    "version": 1
  }
}