Pith Number

pith:56EUVPA4

pith:2018:56EUVPA4476UKV7BANPUPIPTBE

not attested not anchored not stored refs pending

Singularities of plane gravitational waves and their memory effects

Anzhong Wang, Bowen Li, Guoliang Lv, Jared Fier, Tongzheng Wang, Yumei Wu, Zhaojun Wang

arxiv:1807.09397 v4 · 2018-07-24 · gr-qc · astro-ph.CO · hep-ph · 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{56EUVPA4476UKV7BANPUPIPTBE}

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	2026-07-05T00:47:46.851312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef894abc1ce7fd4557e1035f47a1f3093780506c74f184a4fbba561c37753ca3

Aliases

arxiv: 1807.09397 · arxiv_version: 1807.09397v4 · doi: 10.48550/arxiv.1807.09397 · pith_short_12: 56EUVPA4476U · pith_short_16: 56EUVPA4476UKV7B · pith_short_8: 56EUVPA4

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/56EUVPA4476UKV7BANPUPIPTBE \
  | 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: ef894abc1ce7fd4557e1035f47a1f3093780506c74f184a4fbba561c37753ca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4ae77ff486258d07e59f51668bb4b1dfebfe8dc4d102071d796feee02a641d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-07-24T23:50:17Z",
    "title_canon_sha256": "0f2fed01ffea91dd4a522b9f0ca6a9212e27f90eb2fbc6a186632e9f1f787327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09397",
    "kind": "arxiv",
    "version": 4
  }
}