Pith Number

pith:TIG5P3YT

pith:2020:TIG5P3YTLF3TP5QGK4GMMTOPIS

not attested not anchored not stored refs pending

Gauge Invariant Second Order Gravitational Waves

Qing-Hua Zhu, Sai Wang, Zhe Chang

arxiv:2009.11994 v2 · 2020-09-25 · gr-qc · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIG5P3YTLF3TP5QGK4GMMTOPIS}

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

2 papers in Pith

The effects of dark energy on the matter-gravity coupling

Scalar induced gravitational waves review

Receipt and verification

First computed	2026-07-05T01:38:41.829103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a0dd7ef13597737f606570cc64dcf44aa0e1834542a339d8309baa348f61ef5

Aliases

arxiv: 2009.11994 · arxiv_version: 2009.11994v2 · doi: 10.48550/arxiv.2009.11994 · pith_short_12: TIG5P3YTLF3T · pith_short_16: TIG5P3YTLF3TP5QG · pith_short_8: TIG5P3YT

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/TIG5P3YTLF3TP5QGK4GMMTOPIS \
  | 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: 9a0dd7ef13597737f606570cc64dcf44aa0e1834542a339d8309baa348f61ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1834f4bc5918c1c86aeacb756f8d55507cc8979d42e40f2badf75eac81f28ce",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-09-25T01:38:27Z",
    "title_canon_sha256": "5f6f050d35e1b7503a84105ed7d5b4e2315b70743cc9615bf0b41914930de95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.11994",
    "kind": "arxiv",
    "version": 2
  }
}