Pith Number

pith:2NTGJMK6

pith:2025:2NTGJMK6DKEI44APOKU3JLJ5GF

not attested not anchored not stored refs pending

Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals

Lai Zhao, Meirong Tang, Zhaoyi Xu

arxiv:2506.04971 v2 · 2025-06-05 · 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{2NTGJMK6DKEI44APOKU3JLJ5GF}

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

Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

Receipt and verification

First computed	2026-07-05T12:11:18.522550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36664b15e1a888e700f72a9b4ad3d31523359b4f93d8dc5f75c88496bf55e02

Aliases

arxiv: 2506.04971 · arxiv_version: 2506.04971v2 · doi: 10.48550/arxiv.2506.04971 · pith_short_12: 2NTGJMK6DKEI · pith_short_16: 2NTGJMK6DKEI44AP · pith_short_8: 2NTGJMK6

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/2NTGJMK6DKEI44APOKU3JLJ5GF \
  | 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: d36664b15e1a888e700f72a9b4ad3d31523359b4f93d8dc5f75c88496bf55e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b47f2a1e162400f2f093d845ef046bad8d6912e37ad2ae00b43f7cf8681aac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-05T12:43:37Z",
    "title_canon_sha256": "2121de928b39057718fd6324624617fcdbe926d3193305313d436e6c44716b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04971",
    "kind": "arxiv",
    "version": 2
  }
}