Pith Number

pith:CMK46CYD

pith:1994:CMK46CYDBRTTX5RVNJBYHSMJ4I

not attested not anchored not stored refs pending

Quasi-Normal Mode Expansion for Linearized Waves in Gravitational Systems

E.S.C. Ching, K. Young, P.T. Leung, W.M. Suen

arxiv:gr-qc/9408043 v1 · 1994-08-31 · 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{CMK46CYDBRTTX5RVNJBYHSMJ4I}

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

Black hole spectroscopy: from theory to experiment

Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations

Receipt and verification

First computed	2026-05-18T01:06:45.221232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1315cf0b030c673bf6356a4383c989e21ecf75600fabed419deac501b7911ba4

Aliases

arxiv: gr-qc/9408043 · arxiv_version: gr-qc/9408043v1 · doi: 10.48550/arxiv.gr-qc/9408043 · pith_short_12: CMK46CYDBRTT · pith_short_16: CMK46CYDBRTTX5RV · pith_short_8: CMK46CYD

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/CMK46CYDBRTTX5RVNJBYHSMJ4I \
  | 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: 1315cf0b030c673bf6356a4383c989e21ecf75600fabed419deac501b7911ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29428b98354e3aa26787fd4cdf20acacc95b32f78c84ca75f92b6cf1bdc385fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-08-31T23:38:38Z",
    "title_canon_sha256": "e421b24c5b1a40e3be9a69e4ae65c515d00d48ee83a07ca8842af910400bfff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9408043",
    "kind": "arxiv",
    "version": 1
  }
}