Pith Number

pith:GVBQGAXM

pith:2003:GVBQGAXMOB2F7RULNONUKI552J

not attested not anchored not stored refs pending

Mode coupling in the nonlinear response of black holes

Jeffrey Winicour, Luis Lehner, Roberto Gomez, Sascha Husa, Yosef Zlochower

arxiv:gr-qc/0306098 v2 · 2003-06-23 · 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{GVBQGAXMOB2F7RULNONUKI552J}

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	2026-07-04T16:40:13.858538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35430302ec70745fc68b6b9b4523bdd2696cd0380d347dd06a8612c223446217

Aliases

arxiv: gr-qc/0306098 · arxiv_version: gr-qc/0306098v2 · doi: 10.48550/arxiv.gr-qc/0306098 · pith_short_12: GVBQGAXMOB2F · pith_short_16: GVBQGAXMOB2F7RUL · pith_short_8: GVBQGAXM

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/GVBQGAXMOB2F7RULNONUKI552J \
  | 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: 35430302ec70745fc68b6b9b4523bdd2696cd0380d347dd06a8612c223446217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29324d8dd7889337814ad36e0c052bea3dfd1a2e031288dbb75595923dfbf696",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-06-23T19:40:02Z",
    "title_canon_sha256": "0b7e4bc3b0a1721c8116e85b4aa575c93e61d111bc27e6c1a40c52ed8167aba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0306098",
    "kind": "arxiv",
    "version": 2
  }
}