Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:14:47.619093Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.09669.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:14:47.619093Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
43 of 43 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 2c3ac276-6535-4831-9a62-9fc8212d7616 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e9233c1c-65ac-4e35-8490-91db296717f3 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Time evolution of the hole, will push this matter far along spacelike slices inside the hole such that it is far from where Hawking radiation is being produced
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2645799c-73be-497c-9f05-51c7a6d98419 · outbound
Modifications of the Page Curve from correlations within Hawking radiation The states will be related by [21, 22], |Ψ⟩pair =Ceβc†b† |0⟩c|0⟩b
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d4fd39ce-1286-4314-b5d4-56c3e720c0a7 · outbound
Modifications of the Page Curve from correlations within Hawking radiation (23) It can be shown that for 0 ≤x≤ 1, (1−x2) log 2≤ log 2− 1 2[(1 +x) log(1 +x) + (1−x) log(1−x)]≤ √ 1−x2 log 2
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 00997abb-fe10-4caa-b8b0-7807ee6d46f5 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f79e23b-7ee6-42c3-874b-68a806e80058 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 75e571ce-3720-4b05-8cbe-308ddfb0a4ee · outbound
Modifications of the Page Curve from correlations within Hawking radiation (29) Inequality (29) follows from using Lemma 1 and Lemma 2
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 814a65f4-33bf-4be9-9c75-0a76458058be · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5a0c02bd-430e-4481-b1ad-c0d3b03a1162 · outbound
Modifications of the Page Curve from correlations within Hawking radiation This can also be seen from (22)
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fb84b09e-2238-49ea-a85d-5c3cb2b8d68b · outbound
Modifications of the Page Curve from correlations within Hawking radiation The purpose is to familiarize the reader with the framework we will use
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6ec14c31-295c-4597-9786-4d5a115eeee6 · outbound
Modifications of the Page Curve from correlations within Hawking radiation (35) 12 This gives a necessary (but not sufficient) condition for unitarity
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ac43443b-b0fc-4036-b0b0-5290a9e4cd5c · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4e880dfa-842c-4f8e-9dca-02a1a9db4057 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Note, in drawing the graph in Figure 1c, we first fixed the evaporation time tdecay
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2241d9cd-10c2-44c7-83c7-034981790f31 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f66ddb0a-9410-4595-9f80-b6ec1bddb873 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84b77a7c-cefa-484b-bc6e-9d869b0533a1 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Penrose and R
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7492c3cb-ca7d-4175-ae78-8813689cf85b · outbound
Modifications of the Page Curve from correlations within Hawking radiation Christodoulou, Phys
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89546843-fc81-4909-bffd-bb6fbce4e3bf · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11b48c1d-93bc-4443-8d27-963b52496bc9 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5144fb53-a39c-4946-bf54-49d9004ec9c2 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Hawking Radiation as Tunneling
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dec81f98-2ce7-473c-9d01-1931c068381e · outbound
Modifications of the Page Curve from correlations within Hawking radiation Do Black Holes Destroy Information?
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d752894-7ffe-4d12-937f-0a51faa3884e · outbound
Modifications of the Page Curve from correlations within Hawking radiation The information paradox: A pedagogical introduction
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ee26652-e0f6-4b3d-9950-ce5f41d3df1f · outbound
Modifications of the Page Curve from correlations within Hawking radiation The information paradox and the infall problem
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 546610b6-71c7-4414-b445-82d0534116c3 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Correlations in Hawking radiation and the infall problem
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fb3ca442-92be-4728-8f79-b33f5fbb8748 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Models for unitary black hole disintegration
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e2da68f-5c67-47b8-b21a-ed1102f17d8b · outbound
Modifications of the Page Curve from correlations within Hawking radiation Qubit Models of Black Hole Evaporation
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39163a54-ad1a-4160-9c48-4e841ab7e490 · outbound
Modifications of the Page Curve from correlations within Hawking radiation The Black Hole Information Problem
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9daec0e-67e7-4eb5-89f0-ca8051627d13 · outbound
Modifications of the Page Curve from correlations within Hawking radiation The Black Hole information problem: past, present, and future
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 212a35af-cf14-408a-ba42-9138409d592a · outbound
Modifications of the Page Curve from correlations within Hawking radiation Average Entropy of a Subsystem
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d159c28e-f2ea-4b3e-b568-8b5dc95cb57f · outbound
Modifications of the Page Curve from correlations within Hawking radiation Information in Black Hole Radiation
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fed9cf78-484d-4548-b89e-a11973642138 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Time Dependence of Hawking Radiation Entropy
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8e12965-438c-4064-8d70-e75f4138e4c4 · outbound
Modifications of the Page Curve from correlations within Hawking radiation What Exactly is the Information Paradox?
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f499953b-54f5-4318-8b48-b3473edb265c · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 693995c1-f60b-49ef-bc0c-ab9b0b84544d · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab8e0fe3-470e-47eb-a083-812d0aebbd64 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Energy Conservation and Hawking Radiation
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b592769-3bc7-4989-8498-81725d09f96a · outbound
Modifications of the Page Curve from correlations within Hawking radiation Arzano, A
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f79043ee-cb4e-4c56-95f2-f1e5c35386ee · outbound
Modifications of the Page Curve from correlations within Hawking radiation Entropy is Conserved in Hawking Radiation as Tunneling: a Revisit of the Black Hole Information Loss Paradox
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f4e35dc-5cff-42c0-93e2-9188ef9503ad · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3414881d-02c0-4416-97d7-1ff77de727b2 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 21efca36-5a25-4806-95be-922c0ad7afaf · outbound
Modifications of the Page Curve from correlations within Hawking radiation Average Entropy of a Subsystem
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3f62713-1d88-46a2-8854-990346711092 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Sanchez-Ruiz, Phys
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 435a8112-9898-41a1-931b-7033b77035b4 · outbound
Modifications of the Page Curve from correlations within Hawking radiation One-shot decoupling and Page curves from a dynamical model for black hole evaporation
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 83c9dc82-90fe-4d59-9959-11e00acb34f1 · outbound
Modifications of the Page Curve from correlations within Hawking radiation Quantum information transfer and models for black hole mechanics
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.