Pith Number

pith:JMRXAASH

pith:1996:JMRXAASH3Z77TJS3MES3RXCFUI

not attested not anchored not stored refs pending

Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond

Marco Bruni, Sabino Matarrese, Sebastiano Sonego, Silvia Mollerach

arxiv:gr-qc/9609040 v2 · 1996-09-13 · gr-qc · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMRXAASH3Z77TJS3MES3RXCFUI}

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

6 papers in Pith

The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory

Gauge invariant perturbations of $F(T,T_G)$ Cosmology

Thermal channels of scalar and tensor waves in Jordan-frame scalar--tensor gravity

Quasi-Normal Modes of Stars and Black Holes

Nonlinear Relativistic Effects on Cosmological Redshift Drift

Receipt and verification

First computed	2026-07-04T16:01:18.424434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b23700247de7ff9a65b6125b8dc45a213edd07593d9c333e9f7311b8f79aaf1

Aliases

arxiv: gr-qc/9609040 · arxiv_version: gr-qc/9609040v2 · doi: 10.48550/arxiv.gr-qc/9609040 · pith_short_12: JMRXAASH3Z77 · pith_short_16: JMRXAASH3Z77TJS3 · pith_short_8: JMRXAASH

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/JMRXAASH3Z77TJS3MES3RXCFUI \
  | 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: 4b23700247de7ff9a65b6125b8dc45a213edd07593d9c333e9f7311b8f79aaf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8662e35b1585d352e603f047352ff98d52a556416a46f1052241133b81892060",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-09-13T17:33:46Z",
    "title_canon_sha256": "78049f8b8ebed99c847ccb5bb2ff57be4ea253a767327e6891d5ebc74c31eb4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9609040",
    "kind": "arxiv",
    "version": 2
  }
}