Pith Number

pith:D3KZ37PT

pith:2023:D3KZ37PTXHZRASOX7QCANZ4REB

not attested not anchored not stored refs pending

Chaotic von Zeipel-Lidov-Kozai Oscillations of Binary System around Rotating Supermassive Black Hole

Hirotada Okawa, Kei-ichi Maeda, Priti Gupta

arxiv:2309.12096 v2 · 2023-09-21 · 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{D3KZ37PTXHZRASOX7QCANZ4REB}

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	2026-07-05T06:56:38.547751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed59dfdf3b9f31049d7fc0406e79120418993f72ed839eb568ada35c987bd9a

Aliases

arxiv: 2309.12096 · arxiv_version: 2309.12096v2 · doi: 10.48550/arxiv.2309.12096 · pith_short_12: D3KZ37PTXHZR · pith_short_16: D3KZ37PTXHZRASOX · pith_short_8: D3KZ37PT

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/D3KZ37PTXHZRASOX7QCANZ4REB \
  | 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: 1ed59dfdf3b9f31049d7fc0406e79120418993f72ed839eb568ada35c987bd9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8cbcd9b6dfc491cf85f543722706cace5c4e966989ddfe039b52b09ecc01255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-09-21T14:13:06Z",
    "title_canon_sha256": "f187f5739eb8c57508de66791d687390d148bd9f1ccf8c95f0728a6a20bbd8d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.12096",
    "kind": "arxiv",
    "version": 2
  }
}