Pith Number

pith:KOESTWZW

pith:2021:KOESTWZWSUMXHNC5V7VCIAJG2J

not attested not anchored not stored refs pending

The non-linear stability of the Schwarzschild family of black holes

Gustav Holzegel, Igor Rodnianski, Martin Taylor, Mihalis Dafermos

arxiv:2104.08222 v1 · 2021-04-16 · 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{KOESTWZWSUMXHNC5V7VCIAJG2J}

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

7 papers in Pith

Constraint damping on subextremal Kerr spacetimes

Stability of the Minkowski spacetime in Newman-Unti gauge

Asymptotically Anti-de Sitter Spherically Symmetric Hairy Black Holes

The spacetime Penrose inequality under a quasi final state hypothesis

Interior Dynamics of Regular Schwarzschild Black Holes

Receipt and verification

First computed	2026-07-05T02:32:42.275074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

538929db36951973b45dafea240126d251cee64d315c4b05a56b9b9108bc9b11

Aliases

arxiv: 2104.08222 · arxiv_version: 2104.08222v1 · doi: 10.48550/arxiv.2104.08222 · pith_short_12: KOESTWZWSUMX · pith_short_16: KOESTWZWSUMXHNC5 · pith_short_8: KOESTWZW

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/KOESTWZWSUMXHNC5V7VCIAJG2J \
  | 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: 538929db36951973b45dafea240126d251cee64d315c4b05a56b9b9108bc9b11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b61fd52a8583c4ae6227a3bf8909bf587c9fcdbb7eacca758258602edaad6070",
    "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": "2021-04-16T16:57:31Z",
    "title_canon_sha256": "d3b8aabb92aef42e4a4af49e330fab1a6b3bd74030b1553b8536f34e66a97176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.08222",
    "kind": "arxiv",
    "version": 1
  }
}