Pith Number

pith:ES5QQULM

pith:2019:ES5QQULMUJNMATMF4ZDF3TGW2I

not attested not anchored not stored refs pending

Stability for linearized gravity on the Kerr spacetime

Lars Andersson, Pieter Blue, Siyuan Ma, Thomas B\"ackdahl

arxiv:1903.03859 v3 · 2019-03-09 · math.AP · 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{ES5QQULMUJNMATMF4ZDF3TGW2I}

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.

Receipt and verification

First computed	2026-07-05T10:49:41.620537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24bb08516ca25ac04d85e6465dccd6d20b8d067bcae529ed1dd025653aab40f0

Aliases

arxiv: 1903.03859 · arxiv_version: 1903.03859v3 · doi: 10.48550/arxiv.1903.03859 · pith_short_12: ES5QQULMUJNM · pith_short_16: ES5QQULMUJNMATMF · pith_short_8: ES5QQULM

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/ES5QQULMUJNMATMF4ZDF3TGW2I \
  | 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: 24bb08516ca25ac04d85e6465dccd6d20b8d067bcae529ed1dd025653aab40f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a817096272323fd90e238c2865518acee41cae1e8782cc182d9b012fe2e970e1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-09T19:43:37Z",
    "title_canon_sha256": "4ebca5333191924a0494f7501caf13ed49caf820cc97c7e242c15e3c3a16ffaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03859",
    "kind": "arxiv",
    "version": 3
  }
}