Pith Number

pith:GV2MSCP4

pith:2002:GV2MSCP4ZKC2QKCVDEKVVLILHW

not attested not anchored not stored refs pending

Homogeneous Plane Waves

Martin O'Loughlin, Matthias Blau

arxiv:hep-th/0212135 v2 · 2002-12-11 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GV2MSCP4ZKC2QKCVDEKVVLILHW}

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

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

Receipt and verification

First computed	2026-07-04T17:24:55.308220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3574c909fcca85a8285519155aad0b3db6440c78bc87d779b3f836b6a9f9f7be

Aliases

arxiv: hep-th/0212135 · arxiv_version: hep-th/0212135v2 · doi: 10.48550/arxiv.hep-th/0212135 · pith_short_12: GV2MSCP4ZKC2 · pith_short_16: GV2MSCP4ZKC2QKCV · pith_short_8: GV2MSCP4

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/GV2MSCP4ZKC2QKCVDEKVVLILHW \
  | 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: 3574c909fcca85a8285519155aad0b3db6440c78bc87d779b3f836b6a9f9f7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0adf9387c5f5686f9c190392ba803d4f63b88ad18f5ca1f2ec6b2547e54b49da",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-12-11T19:59:03Z",
    "title_canon_sha256": "87196fd2426a2aa2e93188fffddd2cee9f2b4963945a18a77f83729ec4cd217d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0212135",
    "kind": "arxiv",
    "version": 2
  }
}