Pith. sign in

Paper Citation Record · LEDGER

The Ryu-Takayanagi Formula from Quantum Error Correction

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 31 inbound Pith citation observations for arXiv:1607.03901.

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

pith.paper-citation-record.v1
1607.03901 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 31 of 31 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:34:16.374664Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T03:26:44.520849Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c0faf90d-3da4-47bc-9804-6d163c1b8893 · inbound

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole cites this paper.

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-05-18T04:49:39.720713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-18T04:49:39.495024Z digest=sha256:8e9d2efdc37780df782525c3e15091c84e245aa95149d18c9f015ce37cdc250f

Observation 389c807c-5eee-475a-8afa-acd8b47c02ea · inbound

Observers and Timekeepers: From the Page-Wootters Mechanism to the Gravitational Path Integral cites this paper.

Observers and Timekeepers: From the Page-Wootters Mechanism to the Gravitational Path Integral The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-06T22:34:16.374664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:34:16.374664Z digest=sha256:e42a619ea69efe827e18061ec040f883e85044760e9586cac538328132bb6950

Observation 76fd85bf-6b12-42e5-8461-e9997d978e47 · inbound

Pseudo-Complex Gravity as a Geometric Resolution of the Black Hole Information Paradox cites this paper.

Pseudo-Complex Gravity as a Geometric Resolution of the Black Hole Information Paradox The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T22:27:25.988879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:27:25.988879Z digest=sha256:630c62c3b41c8ca53b58159cff928cb9ac9b76d39de3128ed12b2e72ebfb06e6

Observation 8a78694d-1868-4215-a378-ea3817a5012d · inbound

Evaporating universes cites this paper.

Evaporating universes The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T19:36:47.244472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:36:47.244472Z digest=sha256:43eb7001796c7fe5e28074a6bbcb0aea4205e26fa6b383d161bfa479f2a28e3e

Observation 1adadc1d-daa2-42fa-b75a-0c0a5ca2c17a · inbound

Entanglement Entropy of Quantum Corners cites this paper.

Entanglement Entropy of Quantum Corners The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T15:15:56.052360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:15:56.052360Z digest=sha256:f3b6828c5dbf9f10b24aa6f1dc2c2a6d4708f321f1384b31e79af7a5b1d105e4

Observation fbfc27b2-dedc-40fc-bdc0-b6a88a660297 · inbound

Entanglement spreading and emergent locality in Brownian SYK chains cites this paper.

Entanglement spreading and emergent locality in Brownian SYK chains The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-05-19T01:36:57.584932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-19T01:36:37.441971Z digest=sha256:0f00c7c56f132252830da3fe49767f00e47f96d2976473a8ce0dff401f7f0ee5

Observation 54643aac-3556-43b2-8f0c-3282957c6545 · inbound

Holography at Finite N: Breakdown of Bulk Reconstruction for Subregions cites this paper.

Holography at Finite N: Breakdown of Bulk Reconstruction for Subregions The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-05T20:05:51.238321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T20:05:51.238321Z digest=sha256:dc876cbe70b88beef713b4a3b79360ee6b95017d9f89b03ee12667cfc200f480

Observation bb9a1148-f357-4229-bf0d-f83964c13e82 · inbound

Asymptotic Generation of Kerr Geometry from Schwarzschild via BMS Supertranslations cites this paper.

Asymptotic Generation of Kerr Geometry from Schwarzschild via BMS Supertranslations The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 54

Resolution
malformed identifier
no resolver link, observed 2026-08-05T13:00:46.122492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:00:46.122492Z digest=sha256:78351198ded9809fafac51de8143e4f6e252fb6747f713fe3ac538e172cb33f3

Observation 63c40843-baf3-4085-9d1c-0fd1fc8d07ab · inbound

The Making of von Neumann Algebras from Bulk Focusing cites this paper.

The Making of von Neumann Algebras from Bulk Focusing The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-05T05:42:40.345508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:42:40.345508Z digest=sha256:216390e235bd8309b798b4d9febc898489c70358d34164fb614dd8f6e48b4bd8

Observation 448a6947-9062-4cc8-a8da-f37774e18b23 · inbound

On the stabilizer complexity of Hawking radiation cites this paper.

On the stabilizer complexity of Hawking radiation The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T08:51:11.760712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:51:11.760712Z digest=sha256:27fb342dd7c716e448791b0cd0476b1515c4415237c9f7e85b78cb9baedb6571

Observation bc0e96da-cdca-43db-a9f9-347fa100de8c · inbound

Single-Sided Black Holes in Double-Scaled SYK Model and No Man's Island cites this paper.

Single-Sided Black Holes in Double-Scaled SYK Model and No Man's Island The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 77

Resolution
verified exact
local_arxiv, observed 2026-05-18T01:05:34.097558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-18T01:03:58.645459Z digest=sha256:1b0b3219bc44806c15c53e1a5aa48f6306356858f74c3dad50a51e0a9e24df2a

Observation fafc7b3f-9da3-4241-b16a-c20bebee5204 · inbound

Modular Witten Diagrams and Quantum Extremality cites this paper.

Modular Witten Diagrams and Quantum Extremality The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-05-16T23:01:20.941404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-16T22:58:46.334651Z digest=sha256:6726371720ece845ce543ba855988e64df25d68095e2f011b88da0c8cb101b87

Observation fac47b48-98c7-4ce5-b887-0459e27cc834 · inbound

Holographic Tensor Networks as Tessellations of Geometry cites this paper.

Holographic Tensor Networks as Tessellations of Geometry The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-05-16T20:33:24.151099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-16T20:32:29.217554Z digest=sha256:7150514821095d87f012dbad0b2a2e110087ab68e600f54feec33135474c2ab3

Observation 42bd03a8-cfa7-462d-9816-f7f245e53a4b · inbound

Structural Obstruction to Replica Symmetry Breaking for Multi-Entropy in Random Tensor Networks cites this paper.

Structural Obstruction to Replica Symmetry Breaking for Multi-Entropy in Random Tensor Networks The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-11T11:36:01.704813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T14:21:12.127622Z digest=sha256:113c560c47345cdaf9fbd2fbe31859cf3beb494732bc3a0677565e00bd616e99

Observation ab2a724f-d440-4f1d-92db-9f2de59fdd90 · inbound

A Semiclassical Diagnostic for Spacetime Emergence cites this paper.

A Semiclassical Diagnostic for Spacetime Emergence The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-11T04:55:59.314197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-11T00:58:15.656261Z digest=sha256:84c0ef66b20b8182bdaf042e07484389eed641467cd1d9e0004fdad9392600a5

Observation ca0020e2-37f0-405e-b3d2-cb4e7a60ed31 · inbound

Semiclassical algebraic reconstruction for type III algebras cites this paper.

Semiclassical algebraic reconstruction for type III algebras The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-05-14T18:09:21.853598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-14T18:08:46.317539Z digest=sha256:8b120972d87cac18a35ab1353b616df402d7a0bf45ca91ee4c2405bb2c555561

Observation 1bdb04ff-4502-4096-ab77-ba4ebdc74408 · inbound

Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks cites this paper.

Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-05-25T04:20:19.935731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-25T04:16:53.859656Z digest=sha256:d24ae4397e5e25f59adf5c5e3f7afeddc6d78b12704921370952f4743f705259

Observation 90e77050-28e9-45c1-8ede-cc0be240dc65 · inbound

Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks cites this paper.

Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-06-30T15:44:48.811686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-30T15:35:54.995405Z digest=sha256:5873c3cd2b655d9c72ef3a9194adb901a0198b1183b30d3718ed055f97aae559

Observation f5f460ec-9b1c-4086-876f-e900d2896d86 · inbound

Demystifying Objectivity with Operator Algebra Quantum Error Correction cites this paper.

Demystifying Objectivity with Operator Algebra Quantum Error Correction The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 22

Resolution
metadata mismatch
local_arxiv, observed 2026-07-02T14:07:03.581159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-28T00:37:43.567235Z digest=sha256:c9680e5f4f297892d0e056214738dbac303df385a4397bfdea1aba247905bce2

Observation 90f80251-ad79-4970-9bcb-4329a3d20c29 · inbound

Modular quantization and black holes cites this paper.

Modular quantization and black holes The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 138

Resolution
verified exact
local_arxiv, observed 2026-06-27T09:10:46.743751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:1ddafd66c86e28ff89ecf5ec0400036663daed39b42eee7d9217a1b8722b4c20

Observation cd88abc0-93d9-4f5c-84e9-0ac476a9adbf · inbound

A Note on Corrections to Entanglement Wedge Reconstruction cites this paper.

A Note on Corrections to Entanglement Wedge Reconstruction The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-04T01:29:22.462567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T20:21:06.694417Z digest=sha256:0ea598de203ae881b18d3bbffa5704321154ecf076f15ecbadcee7e576aae35c

Observation b4181634-d3de-4931-9518-02502c9860c1 · inbound

A Note on Corrections to Entanglement Wedge Reconstruction cites this paper.

A Note on Corrections to Entanglement Wedge Reconstruction The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-12T13:29:40.961184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T13:29:40.961184Z digest=sha256:09073745cf45649abcede9884c17459a1a1aae961be8f0f38ce9bb40e1b0f4d5

Observation a59dad08-71ae-4457-8ce8-9de37be49760 · inbound

A Note on Corrections to Entanglement Wedge Reconstruction cites this paper.

A Note on Corrections to Entanglement Wedge Reconstruction The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-13T07:27:17.437854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T07:27:17.437854Z digest=sha256:88dd541c5c883710d0df7f91a2b7d7a13078726e2110eb98bec604ca68702d1d

Observation 4b091e4a-4558-4d6b-a5c7-44b3059ae8c0 · inbound

Rethinking quantum information in gravity and fields cites this paper.

Rethinking quantum information in gravity and fields The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 227

Resolution
verified exact
local_arxiv, observed 2026-07-01T01:15:12.991768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-01T01:14:50.851412Z digest=sha256:28e56d852ab3da1a6949c3b3f99dd2b51435e691f9b132ba131ddb02686cb847

Observation c79e3cfb-f1c8-427b-9b37-0a2b2e9359b7 · inbound

Phase transitions and uberholography of holographic pure-state geometries cites this paper.

Phase transitions and uberholography of holographic pure-state geometries The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-10T00:06:37.889167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T00:03:35.523338Z digest=sha256:6d9a90b2448d254ec97ac3e8a3c2a55d8b50023b9202fa08691d980e3777b22e

Observation 9b784832-ebab-4877-81c8-738b0e08eb6c · inbound

Entanglement Wedge Reconstruction without Holographic Quantum Error Correction cites this paper.

Entanglement Wedge Reconstruction without Holographic Quantum Error Correction The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-07-10T03:26:44.522105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-10T03:24:27.207077Z digest=sha256:19bf0ae25812e92dfd3809bda3ecf2e64fc906a6de767f340f26a3dd46941ded

Observation da87c834-391d-4758-8b6c-4c2b61658773 · inbound

Certified boundary-magic witness for state-dependent proto-area in a holographic code cites this paper.

Certified boundary-magic witness for state-dependent proto-area in a holographic code The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T10:08:11.925513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T10:08:11.925513Z digest=sha256:3d567a8443d96c81112ca258121cccf101998dd61e6e08e8e922b2a09e74fa44

Observation 212b6d8a-ba5d-45b8-9c1a-2ac34f6a42c8 · inbound

Holographic Timelike Entanglement and Subregion Complexity in Localized AdS3*S3*T4 Black Holes cites this paper.

Holographic Timelike Entanglement and Subregion Complexity in Localized AdS3*S3*T4 Black Holes The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 33

Resolution
unresolved
no resolver link, observed 2026-07-14T04:11:15.170013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T04:11:15.170013Z digest=sha256:b4a64c16afcb646b8dea16a1d131a15f6d9434edbc117e90c79741f631579e0e

Observation f00be551-3324-4978-a855-1cedafcf912a · inbound

Combinatorial aspects of holographic quantum secret sharing cites this paper.

Combinatorial aspects of holographic quantum secret sharing The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T21:29:28.185330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:29:28.185330Z digest=sha256:b0708d52ac2283b80e8e27eaafc8d8abfe9a7d8ffd8487655ed65f6a8e0decdf

Observation 8be4b0a4-3490-46b1-8227-4dbda7d0f502 · inbound

Universality of Magic in Local Quantum Field Theory cites this paper.

Universality of Magic in Local Quantum Field Theory The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 91

Resolution
unresolved
no resolver link, observed 2026-08-01T21:09:33.887660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:09:33.887660Z digest=sha256:9e50381990188d397cd9495935e92d56b6db383e56ce5a45d8301fc9d2b853fa

Observation 14490fb0-769d-4799-ad93-60afa35d6538 · inbound

Page transition for the complexity of an evaporating black hole cites this paper.

Page transition for the complexity of an evaporating black hole The Ryu-Takayanagi Formula from Quantum Error Correction

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T06:58:01.983082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T06:58:01.983082Z digest=sha256:e818d324bd0a94b17d9a463d8592782a990d725054c05d83755cc760192c5f58