Pith Number

pith:VGHUDLUW

pith:2026:VGHUDLUW6KEKLCYW6MGVCNPMJW

not attested not anchored not stored refs pending

Cosmological coupled black holes immersed in dark sector

Chen-Hao Wu, Ya-Peng Hu, Yue Chu

Black hole mass grows with the cosmic expansion through coupling to a dark sector halo.

arxiv:2603.24609 v2 · 2026-03-23 · gr-qc · astro-ph.CO · hep-th

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\usepackage{pith}
\pithnumber{VGHUDLUW6KEKLCYW6MGVCNPMJW}

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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.

Claims

C1strongest claim

We derive a solution where the black hole mass co-evolves with the cosmic expansion... the interaction is governed by the dark halo profile.

C2weakest assumption

The generalization of the static seed metric to a dynamical FLRW background preserves the form of the coupling while the dark sector remains an anisotropic fluid whose halo profile directly sets the radius-dependent exponent.

C3one line summary

Exact solution for a black hole whose mass co-evolves with Hubble expansion via radius-dependent coupling to an anisotropic dark halo in FLRW spacetime.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-25T02:01:18.160629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98f41ae96f288a58b16f30d5135ec4d80ca77bfe1208dd29cb532d03ddb7e4d

Aliases

arxiv: 2603.24609 · arxiv_version: 2603.24609v2 · doi: 10.48550/arxiv.2603.24609 · pith_short_12: VGHUDLUW6KEK · pith_short_16: VGHUDLUW6KEKLCYW · pith_short_8: VGHUDLUW

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/VGHUDLUW6KEKLCYW6MGVCNPMJW \
  | 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: a98f41ae96f288a58b16f30d5135ec4d80ca77bfe1208dd29cb532d03ddb7e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "268a69ce42b3492b27434d4d56ff9ae3e981a02c2a3435ad7aff921b04bda193",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-23T07:21:20Z",
    "title_canon_sha256": "15a21d5a53da2b119a4c6be05a30889546b38dcfd35e9910d10b108044a6c41a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.24609",
    "kind": "arxiv",
    "version": 2
  }
}