Pith Number

pith:ZA7XLTHM

pith:2025:ZA7XLTHMBOIVZXT5OV3ENNL45D

not attested not anchored not stored refs pending

Periodic orbits and their gravitational wave radiations in black hole with dark matter halo

Sumarna Haroon, Tao Zhu

arxiv:2502.09171 v2 · 2025-02-13 · 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{ZA7XLTHMBOIVZXT5OV3ENNL45D}

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

10 papers in Pith

Probing near-zone magnetic fields with extreme mass-ratio inspirals

Gravitational Wave Signatures from Periodic Orbits around a Non--commutative Schwarzschild Black Hole

Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence

Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework

Periodic orbits as probes of charged loop quantum gravity black holes through gravitational waves

Receipt and verification

First computed	2026-07-05T12:00:46.304501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83f75ccec0b915cde7d757646b57ce8fac8c111df2e3f3ccd0bf2d40dc42b45

Aliases

arxiv: 2502.09171 · arxiv_version: 2502.09171v2 · doi: 10.48550/arxiv.2502.09171 · pith_short_12: ZA7XLTHMBOIV · pith_short_16: ZA7XLTHMBOIVZXT5 · pith_short_8: ZA7XLTHM

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/ZA7XLTHMBOIVZXT5OV3ENNL45D \
  | 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: c83f75ccec0b915cde7d757646b57ce8fac8c111df2e3f3ccd0bf2d40dc42b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c60a8f535e26d8c99f5757034ef0570e8a0f7ae2f5c54f1ea64c5bb5d8e970d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-13T10:54:45Z",
    "title_canon_sha256": "88612232f81400918ab3dc56fa5657b2e9a8f71ffa82cd45a4764cc484780a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.09171",
    "kind": "arxiv",
    "version": 2
  }
}