Pith Number

pith:EIRLZ2E2

pith:2021:EIRLZ2E2SIDKTCH4LOHSZP6GFJ

not attested not anchored not stored refs pending

On the energy of gravitational waves

Long Zhao, Rong-Gen Cai, Xing-Yu Yang

arxiv:2109.06864 v3 · 2021-09-13 · gr-qc · astro-ph.CO · 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{EIRLZ2E2SIDKTCH4LOHSZP6GFJ}

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

On the Gauge Invariance of Secondary Gravitational Waves

Receipt and verification

First computed	2026-07-05T04:50:11.458118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2222bce89a9206a988fc5b8f2cbfc62a45a520714bc5b626d0d48ed833fa825c

Aliases

arxiv: 2109.06864 · arxiv_version: 2109.06864v3 · doi: 10.48550/arxiv.2109.06864 · pith_short_12: EIRLZ2E2SIDK · pith_short_16: EIRLZ2E2SIDKTCH4 · pith_short_8: EIRLZ2E2

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/EIRLZ2E2SIDKTCH4LOHSZP6GFJ \
  | 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: 2222bce89a9206a988fc5b8f2cbfc62a45a520714bc5b626d0d48ed833fa825c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3df073f382ba1d50775a3649ec68939f4c601a2b44c7cc69f31a06f84d27748",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-09-13T02:35:22Z",
    "title_canon_sha256": "68181c2e22e4598c811a22abad84a2d7151372c31b353592682856609fa41eb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.06864",
    "kind": "arxiv",
    "version": 3
  }
}