Pith Number

pith:Z2R57FDC

pith:2001:Z2R57FDC3EHFQJOGBQZIM6JV6G

not attested not anchored not stored refs pending

Gauge invariant perturbations of Schwarzschild black holes in horizon-penetrating coordinates

Manuel Tiglio, Olivier Sarbach

arxiv:gr-qc/0104061 v2 · 2001-04-18 · 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{Z2R57FDC3EHFQJOGBQZIM6JV6G}

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

Quasinormal modes of black holes and black branes

Receipt and verification

First computed	2026-07-04T16:26:53.891727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea3df9462d90e5825c60c32867935f1bb6023a25b8510bf36ac82e8fd7dba31

Aliases

arxiv: gr-qc/0104061 · arxiv_version: gr-qc/0104061v2 · doi: 10.48550/arxiv.gr-qc/0104061 · pith_short_12: Z2R57FDC3EHF · pith_short_16: Z2R57FDC3EHFQJOG · pith_short_8: Z2R57FDC

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/Z2R57FDC3EHFQJOGBQZIM6JV6G \
  | 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: cea3df9462d90e5825c60c32867935f1bb6023a25b8510bf36ac82e8fd7dba31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f378aa0cd702ad1d4aab187ce4d72a76b0977973d215e23d65259fc5451c53",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-04-18T19:27:33Z",
    "title_canon_sha256": "d2e898ce1cbcf83e012428d6190a43ce0daa550f565cca691958aa3c8a70e040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0104061",
    "kind": "arxiv",
    "version": 2
  }
}