Pith Number

pith:ZEYZAETL

pith:1999:ZEYZAETLBCCBHARPCPC2EIUK4V

not attested not anchored not stored refs pending

Gauge invariant formalism for second order perturbations of Schwarzschild spacetimes

A. Garat, R. H. Price (U. of Utah)

arxiv:gr-qc/9909005 v1 · 1999-09-01 · 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{ZEYZAETLBCCBHARPCPC2EIUK4V}

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

Black Hole Ringdown Nonlinearities in the Large-D Limit

Receipt and verification

First computed	2026-07-04T16:13:54.238839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c93190126b088413822f13c5a2228ae546e3cf396a8e66fd3fb71c503ad011ec

Aliases

arxiv: gr-qc/9909005 · arxiv_version: gr-qc/9909005v1 · doi: 10.48550/arxiv.gr-qc/9909005 · pith_short_12: ZEYZAETLBCCB · pith_short_16: ZEYZAETLBCCBHARP · pith_short_8: ZEYZAETL

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/ZEYZAETLBCCBHARPCPC2EIUK4V \
  | 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: c93190126b088413822f13c5a2228ae546e3cf396a8e66fd3fb71c503ad011ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dcb0720b13bb9ab76378da3c83e1d9c5c3e15f13e1c375678c6193175be29ed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-09-01T20:46:50Z",
    "title_canon_sha256": "520a5f954778b0c8d9dd67fd21e8298f3077dde86269c424ad15e5ee1650f70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9909005",
    "kind": "arxiv",
    "version": 1
  }
}