Pith Number

pith:R4V2KBGS

pith:2007:R4V2KBGSSTLZ62RPCA3IUQCNHT

not attested not anchored not stored refs pending

High-order gauge-invariant perturbations of a spherical spacetime

David Brizuela, Guillermo A. Mena Marugan, Jose M. Martin-Garcia

arxiv:gr-qc/0703069 v1 · 2007-03-12 · 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{R4V2KBGSSTLZ62RPCA3IUQCNHT}

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

2 papers in Pith

Black Hole Ringdown Nonlinearities in the Large-D Limit

Unifying the Regge-Wheeler-Zerilli and Bardeen-Press-Teukolsky formalisms on spherical backgrounds

Receipt and verification

First computed	2026-07-04T15:25:07.906262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2ba504d294d79f6a2f10368a404d3cf0f810b2884952dfa1c8d27e3ce578ac

Aliases

arxiv: gr-qc/0703069 · arxiv_version: gr-qc/0703069v1 · doi: 10.48550/arxiv.gr-qc/0703069 · pith_short_12: R4V2KBGSSTLZ · pith_short_16: R4V2KBGSSTLZ62RP · pith_short_8: R4V2KBGS

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/R4V2KBGSSTLZ62RPCA3IUQCNHT \
  | 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: 8f2ba504d294d79f6a2f10368a404d3cf0f810b2884952dfa1c8d27e3ce578ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "501bf531c9ff8225045327fd48669cd10688d794d000deaef5bf78ca3db7c16f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-03-12T18:13:15Z",
    "title_canon_sha256": "33276acfa14236317fbbbd481c2d4c1472c8d08d72512000bf054b8b5faf0e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0703069",
    "kind": "arxiv",
    "version": 1
  }
}