Pith Number

pith:HEYPE7RF

pith:2025:HEYPE7RFON7EPFGD3L7I6LJ6A7

not attested not anchored not stored refs pending

Gravitational energy in pp-wave spacetimes

J. B. Formiga, R. D. Costa

arxiv:2501.02290 v1 · 2025-01-04 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEYPE7RFON7EPFGD3L7I6LJ6A7}

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

Elliptically Polarized Plane Gravitational Waves

Receipt and verification

First computed	2026-07-05T11:28:33.247489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3930f27e25737e4794c3dafe8f2d3e07cf48bed38610e8068de2be5d6ceb6ff3

Aliases

arxiv: 2501.02290 · arxiv_version: 2501.02290v1 · doi: 10.48550/arxiv.2501.02290 · pith_short_12: HEYPE7RFON7E · pith_short_16: HEYPE7RFON7EPFGD · pith_short_8: HEYPE7RF

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/HEYPE7RFON7EPFGD3L7I6LJ6A7 \
  | 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: 3930f27e25737e4794c3dafe8f2d3e07cf48bed38610e8068de2be5d6ceb6ff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "256cbfa7af2d98015333b5a3282c2919bb892f166dad8555a8a1c3c971fb72b2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-01-04T13:51:30Z",
    "title_canon_sha256": "ba545c5f3912fb787c2479054acb8644a61e05f0a19f52106c700630782b11cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.02290",
    "kind": "arxiv",
    "version": 1
  }
}