Pith Number

pith:XQAFA3HC

pith:2016:XQAFA3HCYTODBS6VPMPFIDPNB5

not attested not anchored not stored refs pending

The linear stability of the Schwarzschild solution to gravitational perturbations

Gustav Holzegel, Igor Rodnianski, Mihalis Dafermos

arxiv:1601.06467 v1 · 2016-01-25 · gr-qc · math-ph · math.AP · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQAFA3HCYTODBS6VPMPFIDPNB5}

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 Spectroscopy and Tests of General Relativity with GW250114

Receipt and verification

First computed	2026-07-04T23:59:25.856495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc00506ce2c4dc30cbd57b1e540ded0f5a7e36da33fb41110f83024ca7811215

Aliases

arxiv: 1601.06467 · arxiv_version: 1601.06467v1 · doi: 10.48550/arxiv.1601.06467 · pith_short_12: XQAFA3HCYTOD · pith_short_16: XQAFA3HCYTODBS6V · pith_short_8: XQAFA3HC

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/XQAFA3HCYTODBS6VPMPFIDPNB5 \
  | 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: bc00506ce2c4dc30cbd57b1e540ded0f5a7e36da33fb41110f83024ca7811215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced21f989a3be4090929ce859b4507e7526ab744f572950da5eb52e7cf601764",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-01-25T02:38:24Z",
    "title_canon_sha256": "b060e430619d04db09555b144895ba1c9403e64262cccb9ed0980659ac791732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06467",
    "kind": "arxiv",
    "version": 1
  }
}