Pith Number

pith:K3M2G7YR

pith:2025:K3M2G7YRF2TO4GI5X72HAXSF4K

not attested not anchored not stored refs pending

Particle dynamics and optical appearance of charged spherically symmetric black holes in bumblebee gravity

Jianbo Lu, Mou Xu, Ruonan Li, Shu-Min Wu, Yu Liu

arxiv:2506.17566 v1 · 2025-06-21 · 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{K3M2G7YRF2TO4GI5X72HAXSF4K}

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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

2 papers in Pith

Asymptotically-flat Black holes in Bumblebee gravity: Exact solutions and Thermodynamics

Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality

Receipt and verification

First computed	2026-07-05T11:30:23.456583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d9a37f112ea6ee191dbff4705e45e2be502134afbedad3971839eee609f9d7

Aliases

arxiv: 2506.17566 · arxiv_version: 2506.17566v1 · doi: 10.48550/arxiv.2506.17566 · pith_short_12: K3M2G7YRF2TO · pith_short_16: K3M2G7YRF2TO4GI5 · pith_short_8: K3M2G7YR

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/K3M2G7YRF2TO4GI5X72HAXSF4K \
  | 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: 56d9a37f112ea6ee191dbff4705e45e2be502134afbedad3971839eee609f9d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7622c52326e57d5bf1a989ffa9dd46865275404d7704d430c930233f76ff0304",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-21T03:28:40Z",
    "title_canon_sha256": "39a89460163b0e72c9c00d37c65733409e34135eb7a1bf4a1c90c77612bbd154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17566",
    "kind": "arxiv",
    "version": 1
  }
}