Pith Number

pith:RSJ7E4RV

pith:2021:RSJ7E4RVLLEJBQAU6QI3HB5ZZ2

not attested not anchored not stored refs pending

Equatorial timelike circular orbits around generic ultracompact objects

Carlos A. R. Herdeiro, Eugen Radu, Jorge F. M. Delgado

arxiv:2107.03404 v3 · 2021-07-07 · gr-qc · astro-ph.HE · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RSJ7E4RVLLEJBQAU6QI3HB5ZZ2}

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

Topological charge and black hole photon spheres in massive gravity

Splitting the Gravitational Atom: Instabilities of Black Holes with Synchronized or Resonant Hair

Topologically equivalent yet radiatively distinct orbits in EMRI system

Receipt and verification

First computed	2026-07-05T06:01:55.288703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c93f272355ac890c014f411b387b9cebea71b8f6469a9a8ce28a26791ca2529

Aliases

arxiv: 2107.03404 · arxiv_version: 2107.03404v3 · doi: 10.48550/arxiv.2107.03404 · pith_short_12: RSJ7E4RVLLEJ · pith_short_16: RSJ7E4RVLLEJBQAU · pith_short_8: RSJ7E4RV

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/RSJ7E4RVLLEJBQAU6QI3HB5ZZ2 \
  | 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: 8c93f272355ac890c014f411b387b9cebea71b8f6469a9a8ce28a26791ca2529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ce65d458bf1bba2a688d03345989fa7b7ca845b3cd608885f67812a43b6d34",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-07T18:00:04Z",
    "title_canon_sha256": "01ded7cdd3f48b7fca874302c7bb3a92070d0959a39c1c8317c1e31e0eb65c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.03404",
    "kind": "arxiv",
    "version": 3
  }
}