Pith Number

pith:5ZWQ3C4K

pith:2026:5ZWQ3C4KC5PYDIZE5COABJKJVU

not attested not anchored not stored refs pending

Time-domain evolution of Lorenz-gauge metric perturbations: taming the $\ell=m=1$ gauge instability

Jonathan Thornburg

arxiv:2606.27016 v1 · 2026-06-25 · 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{5ZWQ3C4KC5PYDIZE5COABJKJVU}

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

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations

Receipt and verification

First computed	2026-06-26T01:16:07.123757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6d0d8b8a175f81a324e89c00a549ad34b1c6780c7a3da0a39ebdf06980e83c

Aliases

arxiv: 2606.27016 · arxiv_version: 2606.27016v1 · doi: 10.48550/arxiv.2606.27016 · pith_short_12: 5ZWQ3C4KC5PY · pith_short_16: 5ZWQ3C4KC5PYDIZE · pith_short_8: 5ZWQ3C4K

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/5ZWQ3C4KC5PYDIZE5COABJKJVU \
  | 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: ee6d0d8b8a175f81a324e89c00a549ad34b1c6780c7a3da0a39ebdf06980e83c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65841a27801a0a14602cd6bf33f0666b2fbb9984411c53fdd7255f088c9f5464",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-25T13:30:45Z",
    "title_canon_sha256": "9448e61b9d9e582e521a333119efd8dbfcda6344ba9549e8e7d580f55d22dce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27016",
    "kind": "arxiv",
    "version": 1
  }
}