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Paper Citation Record · LEDGER

A Note On Complex Spacetime Metrics

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 38 inbound Pith citation observations for arXiv:2111.06514.

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

pith.paper-citation-record.v1
2111.06514 v2

Coverage vector

measured 0 of 0 reference resolution

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measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 38 of 38 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:34:32.517569Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T14:39:57.901487Z

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation a5438894-3dc5-4473-9ac2-f00d1e66eb62 · inbound

A microscopic realization of dS$_3$ cites this paper.

A microscopic realization of dS$_3$ A Note On Complex Spacetime Metrics

Reference 39

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no resolver link, observed 2026-08-10T22:34:32.517569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:34:32.517569Z digest=sha256:8c68ebe469acff01434ec60e5e0460d0bf68cba20ed163c2b5a6e5e26b9ec4fe

Observation f4a5e726-1143-42e6-8f9e-753d288b50d6 · inbound

Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm cites this paper.

Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm A Note On Complex Spacetime Metrics

Reference 26

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no resolver link, observed 2026-08-07T19:55:20.440306Z

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source=pdf_text observed=2026-08-07T19:55:20.440306Z digest=sha256:72db7d0a9b5089242a11bb1d2418548613ab88e118ee61c77400db3879603770

Observation 15e3911b-2410-49e0-a539-c235f06baf40 · inbound

M\"obius randomness in the Hartle-Hawking state cites this paper.

M\"obius randomness in the Hartle-Hawking state A Note On Complex Spacetime Metrics

Reference 80

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arxiv_id, observed 2026-05-22T15:54:58.819677Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-22T15:52:46.785764Z digest=sha256:39724dcde5ab3958ddfceecd6c3c0fff487c1495d6ea8bd04cc7483383bf7e29

Observation 9f9de96e-6a68-4f76-a026-a9e82eb8500b · inbound

Analogy of space-time as an elastic medium -- Study of the perturbation tensor of the metric $h_{\mu\nu}$ through the prism of the analogy of the theory of elasticity -- Analysis and potential consequences cites this paper.

Analogy of space-time as an elastic medium -- Study of the perturbation tensor of the metric $h_{\mu\nu}$ through the prism of the analogy of the theory of elasticity -- Analysis and potential consequences A Note On Complex Spacetime Metrics

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T22:20:14.708356Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:20:14.708356Z digest=sha256:71b5d9913eb906d4847efdbdee0a9ef4335999cc9c9f8137f4c23dc3ee192cc5

Observation 82b2bc6f-835d-4233-877f-e5eb19ec8cc0 · inbound

Stochastic inflation as an open quantum system cites this paper.

Stochastic inflation as an open quantum system A Note On Complex Spacetime Metrics

Reference 114

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no resolver link, observed 2026-08-06T20:51:57.539966Z

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source=pdf_text observed=2026-08-06T20:51:57.539966Z digest=sha256:5f529fa141d69a1909bd12867cf9f99c41e4695f2f061cee99068028492e40c8

Observation ff888fd8-e2de-4dca-b81d-edbc41951277 · inbound

Multicentered black hole saddles for supersymmetric indices cites this paper.

Multicentered black hole saddles for supersymmetric indices A Note On Complex Spacetime Metrics

Reference 64

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no resolver link, observed 2026-08-06T18:54:35.177338Z

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source=pdf_text observed=2026-08-06T18:54:35.177338Z digest=sha256:2daccf4e52684595fd1cff7353726f31020569df7a19de6536d7976b50443798

Observation fbbb8273-cb9e-45fe-84c2-2a7fd03940b3 · inbound

Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW cites this paper.

Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW A Note On Complex Spacetime Metrics

Reference 67

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arxiv_id, observed 2026-05-19T04:32:58.549139Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-19T04:32:46.627478Z digest=sha256:034dca61e1d62a3c44a741222f6b6dbe84e3a2c071107f7aece00686ae5b40fc

Observation 37c86f22-bae6-4062-8d01-23d68a03f6c3 · inbound

Constructive Quantum Field Theory on Curved Surfaces and Related Topics cites this paper.

Constructive Quantum Field Theory on Curved Surfaces and Related Topics A Note On Complex Spacetime Metrics

Reference 4

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no resolver link, observed 2026-08-06T12:38:14.107324Z

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source=pdf_text observed=2026-08-06T12:38:14.107324Z digest=sha256:7fae93d6deb650e17e3159cd8ab85f9844d4416c119705f8a4ceec57bdddca09

Observation 81475eea-2afc-4699-9e5d-8b11eae3c574 · inbound

Gravitational Hilbert spaces: invariant and co-invariant states, inner products, gauge-fixing, and BRST cites this paper.

Gravitational Hilbert spaces: invariant and co-invariant states, inner products, gauge-fixing, and BRST A Note On Complex Spacetime Metrics

Reference 55

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arxiv_id, observed 2026-05-18T18:41:44.676600Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-18T18:38:04.943011Z digest=sha256:9f8b6ecc3984d065ebf6a3ee9f69b054712797c20ba08de408a7ce6e3556da89

Observation 502d42a7-cab8-43d1-b04c-29826947b4ea · inbound

A Brief Note on Complex AdS-Schwarzschild Black Holes cites this paper.

A Brief Note on Complex AdS-Schwarzschild Black Holes A Note On Complex Spacetime Metrics

Reference 25

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no resolver link, observed 2026-08-04T20:12:38.565350Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:12:38.565350Z digest=sha256:a9bd5eb828284ef8dfd7cf06c83cc60bea49c700ca99c91ee83700d13d3a51be

Observation 916931c2-3aaa-4877-a202-b4548afca396 · inbound

Microstate counting from defects in de Sitter cites this paper.

Microstate counting from defects in de Sitter A Note On Complex Spacetime Metrics

Reference 54

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no resolver link, observed 2026-08-03T22:39:58.794945Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:39:58.794945Z digest=sha256:a15cc0e030f08856c5d3fdd9e808eeb19048d6d4784a048d31538a41bc79c208

Observation 39b62b1a-084d-4a9d-8cd8-63240bf8a625 · inbound

Imprint of the black hole interior on thermal four-point correlators cites this paper.

Imprint of the black hole interior on thermal four-point correlators A Note On Complex Spacetime Metrics

Reference 34

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unresolved
no resolver link, observed 2026-08-03T17:04:09.129826Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:04:09.129826Z digest=sha256:7e5c38e4fb141651a75b4a5480f4de14470abba1c1c30916f97793265c14b52b

Observation 5b448811-12ff-45bb-96eb-431e514d364d · inbound

Efficient training of photonic quantum generative models cites this paper.

Efficient training of photonic quantum generative models A Note On Complex Spacetime Metrics

Reference 78

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unresolved
no resolver link, observed 2026-07-15T12:26:02.710243Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-15T12:26:02.710243Z digest=sha256:8b8a97a3dae65db194739d4167ba0ae6877a0fa8f082a50328edc68d55221039

Observation 75272bd5-6666-4ac3-9503-07dca67163ce · inbound

How to tame your (black hole) saddles: Lessons from the Lorentzian Gravitational Path Integral cites this paper.

How to tame your (black hole) saddles: Lessons from the Lorentzian Gravitational Path Integral A Note On Complex Spacetime Metrics

Reference 27

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verified exact
arxiv_id, observed 2026-05-15T00:08:21.544693Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-15T00:07:29.505285Z digest=sha256:fb9b86010b9f1a90c9a44e2c917e47c6f26cd7fe6a7ea0904b0fa0aa3455e928

Observation 2a72e78a-7358-479e-80dd-902e857331bb · inbound

Spinning States and Unitarity in 3D Gravity cites this paper.

Spinning States and Unitarity in 3D Gravity A Note On Complex Spacetime Metrics

Reference 26

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arxiv_id, observed 2026-05-10T11:25:20.082016Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-10T11:21:03.832288Z digest=sha256:a9ea13bf9c0fd3809ddf30a884009fc4c16122398553e0f27a95f6bd8bd8dc57

Observation bfafadf8-3507-42b4-8c28-453c74ad83cb · inbound

IR behaviour of one-loop complex $\mathbb{R}\times S^3$ saddles cites this paper.

IR behaviour of one-loop complex $\mathbb{R}\times S^3$ saddles A Note On Complex Spacetime Metrics

Reference 60

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arxiv_id, observed 2026-05-11T14:36:04.183667Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-09T21:35:15.689585Z digest=sha256:43a3048457f0169b6616407d484ae980af72aec18110a7eb2145f3418c537ae8

Observation 0173e9c8-69b3-4b44-bc23-bccad6b2404f · inbound

A gravity interpretation for the complex Euclidean saddles of the ABJM index cites this paper.

A gravity interpretation for the complex Euclidean saddles of the ABJM index A Note On Complex Spacetime Metrics

Reference 26

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arxiv_id, observed 2026-05-11T16:06:13.731231Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-09T18:45:44.445235Z digest=sha256:b9f1d183bef6669b9077de2b730400ce8017d12b1a40f2b86b76faf5ae9ee220

Observation 7219ab36-4daa-40ba-9b60-36b2405b062e · inbound

Inflation and topology from the no-boundary state cites this paper.

Inflation and topology from the no-boundary state A Note On Complex Spacetime Metrics

Reference 31

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verified exact
arxiv_id, observed 2026-05-11T17:46:09.325953Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-08T17:11:43.632853Z digest=sha256:b7db9e88a33d26cdff381eb7f06e517b12280061f5014355b24fb6462c56e4c5

Observation 18f0f5ab-db60-4b2b-92a5-b781f0e5fe9a · inbound

Inflation and topology from the no-boundary state cites this paper.

Inflation and topology from the no-boundary state A Note On Complex Spacetime Metrics

Reference 31

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verified exact
arxiv_id, observed 2026-07-01T13:25:45.215419Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T23:18:50.449909Z digest=sha256:fb17a4a4c5c792a5b433561b45ea657c16869a01515f90c6b6babb9f4ab0937e

Observation 812620b0-a828-48d3-945c-4110b830e4ae · inbound

Wormholes and the imaginary distance bound cites this paper.

Wormholes and the imaginary distance bound A Note On Complex Spacetime Metrics

Reference 10

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verified exact
arxiv_id, observed 2026-05-11T18:01:06.325870Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-08T16:46:37.741023Z digest=sha256:af9044b9de04563c91ff8ea14f7ff1b44ec3b29498686241b9ce3ff2b78b951e

Observation 34b6ea60-de45-43af-9a50-58564c077dfe · inbound

Wormholes and the imaginary distance bound cites this paper.

Wormholes and the imaginary distance bound A Note On Complex Spacetime Metrics

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-12T17:30:40.616474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T17:30:40.616474Z digest=sha256:92dde954314b761630e008b9d07443c195d13f7b1ada1b2e618077174bc2651e

Observation 90498bd8-701d-488b-adbf-606b723761f6 · inbound

Inner Horizon Saddles and a Spectral KSW Criterion cites this paper.

Inner Horizon Saddles and a Spectral KSW Criterion A Note On Complex Spacetime Metrics

Reference 22

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arxiv_id, observed 2026-05-12T00:51:14.282269Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-12T00:51:00.749785Z digest=sha256:0b5b1b2a66c916d11a19f4abf383d9922b0442338ed5f35073153f6f758a68e8

Observation 889a2c5d-883a-406f-bc12-0792451b472e · inbound

Birth of Inflationary Universes via Wineglass Wormholes and their No-Boundary Relatives cites this paper.

Birth of Inflationary Universes via Wineglass Wormholes and their No-Boundary Relatives A Note On Complex Spacetime Metrics

Reference 39

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arxiv_id, observed 2026-05-12T05:56:24.591920Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-12T04:48:34.231358Z digest=sha256:d4ff435628425057ef8edd12d221c2cbf21d1231dbeaa20a80dbf74b2cfc926d

Observation 1f2b99fb-cf81-4e72-9ee3-38f4139119d2 · inbound

Birth of Inflationary Universes via Wineglass Wormholes and their No-Boundary Relatives cites this paper.

Birth of Inflationary Universes via Wineglass Wormholes and their No-Boundary Relatives A Note On Complex Spacetime Metrics

Reference 39

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no resolver link, observed 2026-08-02T14:31:23.022953Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T14:31:23.022953Z digest=sha256:6de36b461165430a6798b7a67651348babe10d8ff63eafba8570cf8a87ddaf7e

Observation b7179d0c-715c-4f51-95c8-1192bab725e3 · inbound

A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen cites this paper.

A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen A Note On Complex Spacetime Metrics

Reference 36

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arxiv_id, observed 2026-05-15T02:39:41.612910Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-15T02:34:34.514607Z digest=sha256:600d465e6d00c231593cb3e7be7c79641dd3c7ce990c5358186e905388fe9573

Observation 8d394d32-8a24-4f81-9f27-9238b8077b21 · inbound

Supergravity flows, wormholes and their pseudo-Hermitian holographic duals cites this paper.

Supergravity flows, wormholes and their pseudo-Hermitian holographic duals A Note On Complex Spacetime Metrics

Reference 27

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arxiv_id, observed 2026-05-20T17:23:36.575938Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-20T17:21:25.165435Z digest=sha256:1a318d3ba18d79aa2668c4f9acd3034aa74cba1c245c067e892a4918064ebb44

Observation bad33afb-6896-48db-8d34-c3ae77ebe94a · inbound

Supergravity flows, wormholes and their pseudo-Hermitian holographic duals cites this paper.

Supergravity flows, wormholes and their pseudo-Hermitian holographic duals A Note On Complex Spacetime Metrics

Reference 28

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arxiv_id, observed 2026-06-30T19:25:00.837977Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T19:22:43.689334Z digest=sha256:e629a04e40de0cde24aca5352f9727c7647f3d357c66c4c0960ad71f112b68b2

Observation c4751a28-69d8-44d6-b0ae-aefac89780aa · inbound

Stochastic inflation as an open quantum system II: open effective field theory and stochastic matching cites this paper.

Stochastic inflation as an open quantum system II: open effective field theory and stochastic matching A Note On Complex Spacetime Metrics

Reference 106

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arxiv_id, observed 2026-05-22T05:41:08.242034Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-22T05:40:46.666696Z digest=sha256:842144c4316346f930aa6a78accd0198680431af430a8670ba6d8bdc4d42c41c

Observation 97230420-5266-4c5d-9c7c-cb922772e60d · inbound

Stochastic inflation as an open quantum system II: open effective field theory and stochastic matching cites this paper.

Stochastic inflation as an open quantum system II: open effective field theory and stochastic matching A Note On Complex Spacetime Metrics

Reference 106

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arxiv_id, observed 2026-06-30T17:04:56.955320Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T16:59:26.792559Z digest=sha256:3a12873d2799733af2e2784a2f58ac0627014d5a965625dfe584f0d43f6f053d

Observation 8acef086-71b8-47c1-8663-45d02785fcee · inbound

Complex BPS Black Holes in AdS$_3\times S^3$ cites this paper.

Complex BPS Black Holes in AdS$_3\times S^3$ A Note On Complex Spacetime Metrics

Reference 42

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arxiv_id, observed 2026-06-29T11:13:20.880407Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-29T11:10:03.677163Z digest=sha256:aeb33303426eb1229b90fc02b890cbbe7aa430dbddee4c7c15ba6ffae63e5eff

Observation 0d4d3b47-e15d-40c3-b8a5-e459c27e1463 · inbound

Wick-connected theories and Lorentz violation cites this paper.

Wick-connected theories and Lorentz violation A Note On Complex Spacetime Metrics

Reference 20

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verified exact
arxiv_id, observed 2026-07-02T19:27:19.355920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-27T21:29:25.962464Z digest=sha256:5bec352d6f945ec2441cb53fbeb4cb6f87ae01d990d82e4bd15114ed28ab3006

Observation 2106f83a-90c0-4ded-9a49-d9ea2ed741a2 · inbound

Index saddle for the D1-D5-P black string and its decoupling limit cites this paper.

Index saddle for the D1-D5-P black string and its decoupling limit A Note On Complex Spacetime Metrics

Reference 46

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verified exact
arxiv_id, observed 2026-07-04T14:39:57.903560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-26T03:08:18.163181Z digest=sha256:7f93aea15902be2e50dfb254dac3bd8d35e163648ee2fd45c971152165fb0db1

Observation b4aa0c39-d0ab-4440-9ea4-cd8ca5cb96ce · inbound

Index saddle for the D1-D5-P black string and its decoupling limit cites this paper.

Index saddle for the D1-D5-P black string and its decoupling limit A Note On Complex Spacetime Metrics

Reference 46

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unresolved
no resolver link, observed 2026-08-04T02:32:08.371795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T02:32:08.371795Z digest=sha256:14fd282386c9bd1e560669b66f394ea2e9e87267e227a24585f7c7235c39cc78

Observation 52491bdd-dfcb-42a2-bd19-f155464fe7bd · inbound

Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories cites this paper.

Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories A Note On Complex Spacetime Metrics

Reference 101

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verified exact
arxiv_id, observed 2026-07-03T19:48:52.680920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-03T19:39:35.189207Z digest=sha256:b1b39058a349951da009bc2dcbb2acf53fa8ed18a6c34d84731db0718b269b28

Observation c13ac06d-4ba7-4496-bdcc-5dcd35aaabbe · inbound

Gravitational index of the D1-D5-P black string cites this paper.

Gravitational index of the D1-D5-P black string A Note On Complex Spacetime Metrics

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T21:22:52.014175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:22:52.014175Z digest=sha256:46e66e3fbbf68f52c7b4cea20fc161cd4f0719afa298e18d93d3a83b1489849e

Observation 1448cd27-2d65-4bfc-8843-90e836ce75ed · inbound

Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion cites this paper.

Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion A Note On Complex Spacetime Metrics

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-01T08:48:43.714742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:48:43.714742Z digest=sha256:0c6fc1ca7927e0bc409de86b3d84c6aa424889f36531d3a3691a7a18a4fdbfcf

Observation 89159b6c-01af-4959-88bf-a8c83fefe931 · inbound

AdS Black Holes Are Short-Lived inside the Spectral Form Factor cites this paper.

AdS Black Holes Are Short-Lived inside the Spectral Form Factor A Note On Complex Spacetime Metrics

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T07:08:39.080849Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T07:08:39.080849Z digest=sha256:eca4841d39d3a48bd49b7333a58ab5fd8e53135ed9e107171d8d676a65931cd9

Observation 290757ee-2e50-4158-a825-a047374b9eba · inbound

Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory cites this paper.

Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory A Note On Complex Spacetime Metrics

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-01T01:55:59.844977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T01:55:59.844977Z digest=sha256:28243ab15a5d31dc9778d6db5ef9ad5a654260e54cae20d72d4e0d2558118f5d