Pith Number

pith:EOR5F6GU

pith:2002:EOR5F6GUKTNGDXVN6VMGV3VQ4Y

not attested not anchored not stored refs pending

Covariant Perturbations of Schwarzschild Black Holes

Chris A. Clarkson, Richard K. Barrett

arxiv:gr-qc/0209051 v3 · 2002-09-17 · gr-qc · astro-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{EOR5F6GUKTNGDXVN6VMGV3VQ4Y}

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

Radial adiabatic perturbations of stellar compact objects

Receipt and verification

First computed	2026-07-04T16:33:46.651763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23a3d2f8d454da61deadf5586aeeb0e6264bf8e9f5c27122b8b93c5a6800f4ae

Aliases

arxiv: gr-qc/0209051 · arxiv_version: gr-qc/0209051v3 · doi: 10.48550/arxiv.gr-qc/0209051 · pith_short_12: EOR5F6GUKTNG · pith_short_16: EOR5F6GUKTNGDXVN · pith_short_8: EOR5F6GU

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/EOR5F6GUKTNGDXVN6VMGV3VQ4Y \
  | 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: 23a3d2f8d454da61deadf5586aeeb0e6264bf8e9f5c27122b8b93c5a6800f4ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e320dd129b33d9354b3dbfc9136d89d798b37330a23eb14c2bb50a23b23dc7d",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-09-17T19:11:56Z",
    "title_canon_sha256": "3a68affe6fc9c2e49402e7b13231fa818ce96cd176f0d90a6f760eb4a2fe5c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0209051",
    "kind": "arxiv",
    "version": 3
  }
}