Pith Number

pith:JIBIECS5

pith:2025:JIBIECS5UBVPYUW2T4REMCOE6K

not attested not anchored not stored refs resolved

On Modelling the Surfaces of Celestial Bodies in Quantum Gravity

Marco Sebastianutti, Xavier Calmet

A modified Tolman VII density profile with sufficient differentiability produces regular quantum corrections at the surface of stars.

arxiv:2511.19582 v2 · 2025-11-24 · gr-qc

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\pithnumber{JIBIECS5UBVPYUW2T4REMCOE6K}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

Introducing a modified version of the Tolman VII density profile, we determine the minimal degree of differentiability required for this function to generate regular quantum corrections at the star's surface.

C2weakest assumption

That the Vilkovisky-DeWitt unique effective action supplies the correct universal quantum corrections to the exterior metric for the chosen class of stellar models.

C3one line summary

A modified Tolman VII density profile with sufficient differentiability produces regular quantum corrections to stellar exteriors when computed with the Vilkovisky-DeWitt effective action.

References

26 extracted · 26 resolved · 5 Pith anchors

[1] Singular hypersurfaces and thin shells in general relativity 1966 · doi:10.1007/bf02710419

[2] Poisson,A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics, Cambridge University Press (12, 2009), 10.1017/CBO9780511606601 2009 · doi:10.1017/cbo9780511606601

[3] A. O. Barvinsky and G. A. Vilkovisky, Phys. Lett. B131(1983) 313-318, doi:10.1016/0370-2693(83)90506-3 1983 · doi:10.1016/0370-2693(83)90506-3

[4] G. A. Vilkovisky, Nucl. Phys. B234(1984) 125-137, doi:10.1016/0550-3213(84)90228-1 1984 · doi:10.1016/0550-3213(84)90228-1

[5] The influence of the analytical continuation effects on the value of the QCD scale parameter Lambda extracted from the data on charmonium and Ipsilonium hadonic decays 1985 · doi:10.1016/0370-

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:00.685485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a02820a5da06afc52da9f224609c4f2a21773406fc9034e74841646aeb8ee52

Aliases

arxiv: 2511.19582 · arxiv_version: 2511.19582v2 · doi: 10.48550/arxiv.2511.19582 · pith_short_12: JIBIECS5UBVP · pith_short_16: JIBIECS5UBVPYUW2 · pith_short_8: JIBIECS5

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/JIBIECS5UBVPYUW2T4REMCOE6K \
  | 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: 4a02820a5da06afc52da9f224609c4f2a21773406fc9034e74841646aeb8ee52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdc454f25323777bd5031cf688f1e4593d81964afe2d97497df04ee9a3aacf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-11-24T18:52:33Z",
    "title_canon_sha256": "1238cfd99518a84c775c47a8dce6d270363fe46d55582f3fd6bc190f9bdf1008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.19582",
    "kind": "arxiv",
    "version": 2
  }
}