Pith Number

pith:TBL2YBHH

pith:2019:TBL2YBHHLXXFHUMSL4IPZCDUIE

not attested not anchored not stored refs pending

Silhouettes of invisible black holes

Natalia O. Nazarova, Vyacheslav I. Dokuchaev

arxiv:1911.07695 v3 · 2019-11-18 · gr-qc · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBL2YBHHLXXFHUMSL4IPZCDUIE}

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

1 paper in Pith

Scalar quasinormal modes, Lyapunov exponents and radii of null geodesics of rotating regular black holes

Receipt and verification

First computed	2026-07-05T01:31:09.085461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9857ac04e75dee53d1925f10fc8874413de3110e905cecb46a69999db42be244

Aliases

arxiv: 1911.07695 · arxiv_version: 1911.07695v3 · doi: 10.48550/arxiv.1911.07695 · pith_short_12: TBL2YBHHLXXF · pith_short_16: TBL2YBHHLXXFHUMS · pith_short_8: TBL2YBHH

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/TBL2YBHHLXXFHUMSL4IPZCDUIE \
  | 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: 9857ac04e75dee53d1925f10fc8874413de3110e905cecb46a69999db42be244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d7d9a65a54a384d30330a6508ab6f23d893949671c3dff2b289b30724ab797",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-11-18T15:20:03Z",
    "title_canon_sha256": "e3fe7dd38164be653065d2c9670aa5b2f1c67cf7203d4d1a8320095dd131c788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.07695",
    "kind": "arxiv",
    "version": 3
  }
}