Pith Number

pith:OTTQ2SLY

pith:2026:OTTQ2SLYSL56GL3VZLIQDPWXYC

not attested not anchored not stored refs resolved

Quantum Field Theory of Black Hole Perturbations with Backreaction VI. Apparent Horizons, Quasi-Local Mass and Effective Classical Metrics

Jonas Neuser, Thomas Thiemann

The apparent horizon of an evaporating black hole is determined to second order in perturbations, enabling reconstruction of a quantum-corrected effective metric.

arxiv:2605.13714 v1 · 2026-05-13 · gr-qc · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTTQ2SLYSL56GL3VZLIQDPWXYC}

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.

Claims

C1strongest claim

We determine the shape of the apparent horizon to second order in the perturbations... taking expectation values of this metric, we obtain an effective classical metric, whose causal structure can then be visualised in a quantum corrected Penrose diagram.

C2weakest assumption

The perturbative expansion truncated at second order remains valid for the dynamics of evaporating black holes, and the reduced phase space variables fully capture the relevant physics without higher-order terms or gauge artifacts dominating the horizon and metric reconstruction.

C3one line summary

The apparent horizon shape is derived to second order for perturbed evaporating black holes, and an effective classical metric is obtained from quantum expectation values of the reconstructed spacetime.

References

19 extracted · 19 resolved · 4 Pith anchors

[1] Quantum Field Theory of Black Hole Perturbations with Backreaction: I General Framework, 2024

[2] Quantum Field Theory of black hole perturbations with backreaction. Part II. Spherically symmetric 2nd order Einstein sector, 2025

[3] Quantum Field Theory of black hole perturbations with backreaction. Part III. Spherically symmetric 2nd order Maxwell sector, 2025

[4] Quantum field theory of black hole perturbations with backreaction IV: spherically symmetric 2nd order Einstein–Maxwell sector in generalised gauges, 2025

[5] Quantum Field Theory of Black Hole Perturbations with Backreaction V. Beyond Second Order Perturbations,

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:16.722670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74e70d497892fbe32f75cad101bed7c092a9ce8c26173240f99a9b303dd2db96

Aliases

arxiv: 2605.13714 · arxiv_version: 2605.13714v1 · doi: 10.48550/arxiv.2605.13714 · pith_short_12: OTTQ2SLYSL56 · pith_short_16: OTTQ2SLYSL56GL3V · pith_short_8: OTTQ2SLY

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/OTTQ2SLYSL56GL3VZLIQDPWXYC \
  | 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: 74e70d497892fbe32f75cad101bed7c092a9ce8c26173240f99a9b303dd2db96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "939a8c13aeb6a677b6524d4c447b2ae262a0db82b4fa3cf5b3a80da081521089",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-13T16:00:18Z",
    "title_canon_sha256": "2a299f7d1690fb1bd05b209d89d4425c1818ff8ba51e06bf2401c3d1094a5407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13714",
    "kind": "arxiv",
    "version": 1
  }
}