Paper Citation Record · LEDGER

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes

As of 16 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 1 inbound Pith citation observation for arXiv:2512.01486.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2512.01486 v4

Coverage vector

measured 60 of 60 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T19:18:44.209319Z

measured 61 of 61 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:59:54.597686Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-15T14:59:55.035945Z

Reference resolution

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Outbound references

Observation 491e7646-71e3-426e-a0ca-5fdc76c26275 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 1

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Observation 3a3f20dc-42b1-4e44-a579-449ee4c82ac0 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 2

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Observation bd522100-4448-408b-9960-e61fc37a2080 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 3

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Observation 49f97ba2-a3d1-4c15-84fa-dec3dc74faa4 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 4

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Observation 3bd7f8e2-5b89-4e0a-81af-dfa4036f3092 · outbound

This paper cites This provides the consistent geo metric framework necessary for analyzing singularity regularization.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes This provides the consistent geo metric framework necessary for analyzing singularity regularization

Reference 5

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Observation 749b0518-7aed-4d73-b2f2-45d5cfb05026 · outbound

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Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 6

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Observation 4f978312-18c8-4c23-a4f2-efe80d1c109b · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 7

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Observation b4cffb71-f12f-433b-9bc2-1d47932b1747 · outbound

This paper cites (15) Step 3: Physical Validation - Ensure vanishing distributional contributions to Rµν and agreement with standard BTZ geometry.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes (15) Step 3: Physical Validation - Ensure vanishing distributional contributions to Rµν and agreement with standard BTZ geometry

Reference 8

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Observation 53964056-bd12-46c2-ae8f-40071c8606ed · outbound

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Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 9

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Observation 5f2513fd-117d-4daf-86b0-95176074bfe1 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 10

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Observation a4f04ee1-9dbb-4910-9464-32d4db0990e9 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 11

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Observation d61c67bf-c0d3-4c13-923b-6f34d8e74939 · outbound

This paper cites 6 illustrates the global causal structur e of our geometry.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes 6 illustrates the global causal structur e of our geometry

Reference 12

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Observation a7f89d38-e63e-40ae-9441-bf3f9115aed9 · outbound

This paper cites In this section, we perform a comprehensive 12 i+ i− I +I − Σ : r = rhLorentzian Region r > r h, ε = +1 Euclidean Region r < r h, ε = −1 Infalling geodesics Σ Time Space FIG.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes In this section, we perform a comprehensive 12 i+ i− I +I − Σ : r = rhLorentzian Region r > r h, ε = +1 Euclidean Region r < r h, ε = −1 Infalling geodesics Σ Time Space FIG

Reference 13

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Observation 2a35f744-81cd-4890-916e-92e1f1f1beb4 · outbound

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Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 14

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Observation 2a8510cc-e9d0-4c93-976e-57dd01d30bf7 · outbound

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Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 15

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Observation a99b06fc-83a0-4abf-91b3-c9b4bcc9b41f · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 16

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Observation 18bb6bfc-ab31-45a5-84bf-42e480a1ccf9 · outbound

This paper cites (A10) Similar singular behavior appears in the remaining components, all con taining terms proportional to ε′, ε′2, and ε′′.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes (A10) Similar singular behavior appears in the remaining components, all con taining terms proportional to ε′, ε′2, and ε′′

Reference 17

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Observation e3d8c3eb-a800-4281-8882-fcfe5e7c6875 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 18

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Observation 424106ed-79c5-4a50-890d-f0898a9b2548 · outbound

This paper cites (A24) The remaining components are either zero or related to these by sy mmetry.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes (A24) The remaining components are either zero or related to these by sy mmetry

Reference 19

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Observation 4262d344-a4fd-48d0-8ba4-7e4c0e4d831b · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 20

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Observation 018d9ba3-291c-409f-b97b-228b0a85e018 · outbound

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Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 21

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Observation 525d9bae-f5c8-4804-a6d7-33a07f9b5d2b · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 22

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Observation 55e32c3f-a55e-404f-84c8-5a1f7f48ca31 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 23

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Observation 298ae45b-5254-451a-9b79-ceea7d3dd38d · outbound

This paper cites Following the standard procedure for BTZ black holes [11], we introd uce the tortoise coordinate: r∗ = 1√ε ∫ dr −M + r2 ℓ2 = ℓ 2 √ εM ln ⏐ ⏐ ⏐ ⏐ ⏐ r −ℓ √ M r +ℓ √ M ⏐ ⏐ ⏐ ⏐ ⏐.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Following the standard procedure for BTZ black holes [11], we introd uce the tortoise coordinate: r∗ = 1√ε ∫ dr −M + r2 ℓ2 = ℓ 2 √ εM ln ⏐ ⏐ ⏐ ⏐ ⏐ r −ℓ √ M r +ℓ √ M ⏐ ⏐ ⏐ ⏐ ⏐

Reference 24

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Observation 376ae2da-629a-48c6-a3db-1c28cc4d9886 · outbound

This paper cites In Kruskal coordinates, this occurs when: UV = 0.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes In Kruskal coordinates, this occurs when: UV = 0

Reference 25

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Observation 968691fe-fa86-468b-acae-8c37ef26a699 · outbound

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Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 26

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Observation 5543da01-d88a-42ee-ac3a-8a04588e266a · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 27

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Observation 8ceb1c4e-ec3b-4099-be92-478af90a95f2 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 28

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Observation 6cda8a1c-cef6-491e-a10c-469124bc8ad8 · outbound

This paper cites • Causal Structure : The usual bifurcate horizon structure is modiﬁed.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes • Causal Structure : The usual bifurcate horizon structure is modiﬁed

Reference 29

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Observation 69e02133-15b4-4e96-b1a5-4f2980506d23 · outbound

This paper cites All causal geodesics in the signature-changing BTZ geometr y are complete in Kruskal coordinates, with no geodesic reaching the r = 0 singularity in ﬁnite aﬃne parame- ter.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes All causal geodesics in the signature-changing BTZ geometr y are complete in Kruskal coordinates, with no geodesic reaching the r = 0 singularity in ﬁnite aﬃne parame- ter

Reference 30

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Observation c0ab53e1-c147-472c-a65f-58445f48a98b · outbound

This paper cites 6) e xhibits a novel struc- ture: • The change surface Σ appears as a null line separating Lorentzian a nd Euclidean regions.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes 6) e xhibits a novel struc- ture: • The change surface Σ appears as a null line separating Lorentzian a nd Euclidean regions

Reference 31

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Observation 78cdb4d9-0ba8-46fc-b46f-f55f37b3309b · outbound

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Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 32

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Observation 8b127c28-5226-435a-88ef-a76a066d7da9 · outbound

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Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 33

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Observation 1ad126e3-0650-462d-b52c-8170175d3a84 · outbound

This paper cites T his degeneracy is the source of the distributional terms we regularized in Section 2.2.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes T his degeneracy is the source of the distributional terms we regularized in Section 2.2

Reference 34

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Observation 4766df36-f0d4-419c-be4d-470120ce782f · outbound

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Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 35

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Observation 18455118-49c6-4c03-b035-e7f3dc1eed02 · outbound

This paper cites Gravitational collapse: The role of general r elativity.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Gravitational collapse: The role of general r elativity

Reference 36

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Observation 5504745a-45c6-447f-8c67-8433a07c8100 · outbound

This paper cites String theory: Volume 1, an introduction to the bosonic stri ng.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes String theory: Volume 1, an introduction to the bosonic stri ng

Reference 37

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Observation 868550ed-58a2-49c4-90c1-03eb0d54cf4b · outbound

This paper cites String theory: Volume 2, superstring theory and beyond.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes String theory: Volume 2, superstring theory and beyond

Reference 38

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Observation 9dae7315-b1db-4338-b58a-ec8c367b630f · outbound

This paper cites Quantum gravity.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Quantum gravity

Reference 39

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This paper cites Background independent qu antum gravity: A status report.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Background independent qu antum gravity: A status report

Reference 40

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Observation 1aff4b9f-2458-4d88-aa9e-071d4f1882b6 · outbound

This paper cites Quantum ﬁeld theory on noncommutative spaces.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Quantum ﬁeld theory on noncommutative spaces

Reference 41

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Observation c9c30951-5f60-4e37-bbc6-92308de90d66 · outbound

This paper cites Wave function of the universe.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Wave function of the universe

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:42.258836Z

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Observation 55378849-9054-4bff-8de1-c6bc25d7a020 · outbound

This paper cites Real tunneling geometries and t he large-scale topology of the universe.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Real tunneling geometries and t he large-scale topology of the universe

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:42.367640Z

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Observation 4ba27858-ae5b-41e8-a096-19ba35c504bf · outbound

This paper cites On the change of signature in c osmological models.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes On the change of signature in c osmological models

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:42.478971Z

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Observation 20a641ac-204b-4cbe-936b-5e83ed967336 · outbound

This paper cites Avoiding si ngularities in lorentzian-euclidean black holes: The role of atemporality.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Avoiding si ngularities in lorentzian-euclidean black holes: The role of atemporality

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:42.572858Z

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Observation 989ee353-1672-4c42-bf51-ee45f55d38ff · outbound

This paper cites The black hole i n three-dimensional space-time.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes The black hole i n three-dimensional space-time

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:42.655182Z

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Observation bff9e9b5-d455-4d18-9a15-3f210dec1316 · outbound

This paper cites Singular hypersurfaces and thin shells in gen eral relativity.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Singular hypersurfaces and thin shells in gen eral relativity

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:42.763426Z

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Observation 9aeb251f-e27c-4e37-b84a-0889d04a2293 · outbound

This paper cites Thin shells in general relativi ty and cosmology: The lightlike limit.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Thin shells in general relativi ty and cosmology: The lightlike limit

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:42.826578Z

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Observation 338d886f-9d05-418f-a09c-081e26cfd414 · outbound

This paper cites Cardoso and J.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Cardoso and J

Reference 49

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Observation d918cec6-3956-445a-a726-74292327d07d · outbound

This paper cites T Horowitz and V.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes T Horowitz and V

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:43.007243Z

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Observation d06af87c-fd10-4166-81c4-d53a88697b66 · outbound

This paper cites Birmingham and S.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Birmingham and S

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:43.109183Z

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Observation d69310f6-04a3-4dbb-bbd1-b9ec7b7f5079 · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 52

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Observation 10c21f32-1bff-495a-b83c-c84d932e24ff · outbound

This paper cites Deser, R.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Deser, R

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:43.372373Z

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Observation e190de51-d109-45a6-9662-18f65d49162e · outbound

This paper cites Chronology protection conjecture.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Chronology protection conjecture

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:43.464252Z

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Observation a5c0afdb-25a2-46e2-97a2-39317bf26cfc · outbound

This paper cites an unresolved cited work.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Unresolved cited work

Reference 55

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Observation 7f414568-e1e3-4b72-9ae1-066e21a0fead · outbound

This paper cites Maldacena and L.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Maldacena and L

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-03T19:18:43.727366Z

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Observation 56508d09-b84b-4214-815c-b4f95c06e95b · outbound

This paper cites B Hartle and SW Hawking.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes B Hartle and SW Hawking

Reference 57

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This paper cites The large scale structure of sp ace-time.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes The large scale structure of sp ace-time

Reference 58

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This paper cites Lectures on Cauchy’s problem in linear partial diﬀerential e quations.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Lectures on Cauchy’s problem in linear partial diﬀerential e quations

Reference 59

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This paper cites Gravitational radiation from post-newton ian sources and inspiralling compact binaries.

Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes Gravitational radiation from post-newton ian sources and inspiralling compact binaries

Reference 60

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A smooth BTZ black bounce with an extremal null throat cites this paper.

A smooth BTZ black bounce with an extremal null throat Smooth Signature Change as a Mechanism for Singularity Avoidance in BTZ Black Holes

Reference 32

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