Pith Number

pith:DUR6QMEW

pith:2026:DUR6QMEWBWXNK4GJXDXDV5ONEU

not attested not anchored not stored refs pending

Holographic Complexity, Extremality, and Cosmic Censorship

Fuat Berkin Altunkaynak

Overcharged AdS black holes with naked singularities have divergent holographic complexity.

arxiv:2604.20170 v2 · 2026-04-17 · hep-th · gr-qc · quant-ph

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\usepackage{pith}
\pithnumber{DUR6QMEWBWXNK4GJXDXDV5ONEU}

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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

This suggests an operational form of censorship: naked singularities are excluded not by geometry alone, but by an infinite computational cost arising from their local near-singularity structure.

C2weakest assumption

The complexity=action proposal remains valid and physically meaningful for spacetimes containing naked timelike singularities, and that divergence of the action directly translates to an infinite complexity that enforces censorship.

C3one line summary

Naked singularities produce divergent holographic complexity via the singularity boundary term when the near-origin metric scales as r^{-p} with p > D-3, implying an operational computational form of cosmic censorship.

Receipt and verification

First computed	2026-06-11T01:09:35.931431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d23e830960daed570c9b8ee3af5cd25288913a038af4a415cd79c9b3d555c32

Aliases

arxiv: 2604.20170 · arxiv_version: 2604.20170v2 · doi: 10.48550/arxiv.2604.20170 · pith_short_12: DUR6QMEWBWXN · pith_short_16: DUR6QMEWBWXNK4GJ · pith_short_8: DUR6QMEW

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/DUR6QMEWBWXNK4GJXDXDV5ONEU \
  | 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: 1d23e830960daed570c9b8ee3af5cd25288913a038af4a415cd79c9b3d555c32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcba33d2b6aa922fcf3e1fb58cae0ecb216c3edae312ea2bb638f745b36b3fe8",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-17T16:54:49Z",
    "title_canon_sha256": "31b78a528b927304bfa425581040e0003719c0bdaf8e72abfaebbd5541e2608d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.20170",
    "kind": "arxiv",
    "version": 2
  }
}