Pith Number

pith:6OPHYSQM

pith:2005:6OPHYSQMLBCSXTF6IWN3EASZ4F

not attested not anchored not stored refs pending

Gauge-invariant Non-spherical Metric Perturbations of Schwarzschild Black-Hole Spacetimes

Alessandro Nagar, Luciano Rezzolla

arxiv:gr-qc/0502064 v5 · 2005-02-14 · 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{6OPHYSQMLBCSXTF6IWN3EASZ4F}

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

3 papers in Pith

Vanishing of all redshift modes in Schwarzschild ringdown

Black hole spectroscopy: from theory to experiment

Quasinormal modes of black holes and black branes

Receipt and verification

First computed	2026-07-05T01:33:09.847921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f39e7c4a0c58452bccbe459bb20259e1717a2b5cf1ec88e35408b6bc6978872f

Aliases

arxiv: gr-qc/0502064 · arxiv_version: gr-qc/0502064v5 · doi: 10.48550/arxiv.gr-qc/0502064 · pith_short_12: 6OPHYSQMLBCS · pith_short_16: 6OPHYSQMLBCSXTF6 · pith_short_8: 6OPHYSQM

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/6OPHYSQMLBCSXTF6IWN3EASZ4F \
  | 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: f39e7c4a0c58452bccbe459bb20259e1717a2b5cf1ec88e35408b6bc6978872f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff4929d3f687fb2ee63ba68e384d07713dec641334b8b8b433a43996c192894c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-02-14T17:18:30Z",
    "title_canon_sha256": "3c5bf0a667475f5e39e2d6eefdae82871978b260e6268d81b81ae8a422711683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0502064",
    "kind": "arxiv",
    "version": 5
  }
}