Pith Number

pith:3Q2VCA2B

pith:2016:3Q2VCA2BABGTXOEPPB4ZK4IU3D

not attested not anchored not stored refs pending

A Matrix Method for Quasinormal Modes: Schwarzschild Black Holes in Asymptotically Flat and (Anti-) de Sitter Spacetimes

Kai Lin, Wei-Liang Qian

arxiv:1610.08135 v4 · 2016-10-26 · 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{3Q2VCA2BABGTXOEPPB4ZK4IU3D}

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	2026-05-18T00:47:26.712197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc35510341004d3bb88f7879957114d8ef5250ef6ff4a094384019db139b0c07

Aliases

arxiv: 1610.08135 · arxiv_version: 1610.08135v4 · doi: 10.48550/arxiv.1610.08135 · pith_short_12: 3Q2VCA2BABGT · pith_short_16: 3Q2VCA2BABGTXOEP · pith_short_8: 3Q2VCA2B

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/3Q2VCA2BABGTXOEPPB4ZK4IU3D \
  | 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: dc35510341004d3bb88f7879957114d8ef5250ef6ff4a094384019db139b0c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "392b30e633d56de293b609f2990d11ea3477bcc08b8efcdfa7bd369ff29a1e01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-10-26T01:05:24Z",
    "title_canon_sha256": "f75f9af43463655be8ff6872ad86a7ce4ae1367bfe206927e78b86c0534aae34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08135",
    "kind": "arxiv",
    "version": 4
  }
}