Pith Number

pith:GK5ET3KN

pith:1999:GK5ET3KN6GKKH2IOR2SSUTLVDR

not attested not anchored not stored refs pending

Gauge-invariant and coordinate-independent perturbations of stellar collapse I: the interior

C. Gundlach, J. M. Martin-Garcia

arxiv:gr-qc/9906068 v1 · 1999-06-16 · 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{GK5ET3KN6GKKH2IOR2SSUTLVDR}

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

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

Receipt and verification

First computed	2026-07-04T16:13:51.932055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ba49ed4df194a3e90e8ea52a4d751c4c49dba78264f0a8fca951a884ce2365

Aliases

arxiv: gr-qc/9906068 · arxiv_version: gr-qc/9906068v1 · doi: 10.48550/arxiv.gr-qc/9906068 · pith_short_12: GK5ET3KN6GKK · pith_short_16: GK5ET3KN6GKKH2IO · pith_short_8: GK5ET3KN

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/GK5ET3KN6GKKH2IOR2SSUTLVDR \
  | 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: 32ba49ed4df194a3e90e8ea52a4d751c4c49dba78264f0a8fca951a884ce2365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710d98702b403eb641af1d88611ffce8a00f13d03d98806e712138c4acdec8d0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-06-16T21:56:48Z",
    "title_canon_sha256": "8d78db757b0f4a693b74fa64c4cd57b1137750b4bf164817f34828f94d7804ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9906068",
    "kind": "arxiv",
    "version": 1
  }
}