Pith Number

pith:DCRAVJV2

pith:2020:DCRAVJV2NNZEU5QJOUXWY5YTJD

not attested not anchored not stored refs pending

Bi-orthogonal harmonics for the decomposition of gravitational radiation I: angular modes, completeness, and the introduction of adjoint-spheroidal harmonics

Lionel London

arxiv:2006.11449 v3 · 2020-06-20 · 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{DCRAVJV2NNZEU5QJOUXWY5YTJD}

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

3 papers in Pith

Properties of natural polynomials for Schwarzschild and Kerr black holes

Black hole spectroscopy: from theory to experiment

Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations

Receipt and verification

First computed	2026-07-05T04:36:18.262803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18a20aa6ba6b724a7609752f6c771348d2d8d6a72a6a027f3eb614fe66117fff

Aliases

arxiv: 2006.11449 · arxiv_version: 2006.11449v3 · doi: 10.48550/arxiv.2006.11449 · pith_short_12: DCRAVJV2NNZE · pith_short_16: DCRAVJV2NNZEU5QJ · pith_short_8: DCRAVJV2

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/DCRAVJV2NNZEU5QJOUXWY5YTJD \
  | 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: 18a20aa6ba6b724a7609752f6c771348d2d8d6a72a6a027f3eb614fe66117fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d156f966d347eca31a9d779b7950fc72d973ec54c370def427d67c337e2fc77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-06-20T00:48:04Z",
    "title_canon_sha256": "5dd7b4f93258d8fa4249f408caabda219421ea584e5ed658ef47a4a502980dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.11449",
    "kind": "arxiv",
    "version": 3
  }
}