Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 57 inbound Pith citation observations for arXiv:2112.12828.
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
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:24:38.845027Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-10T18:07:31.728332Z
0 of 0 outbound references displayed
External citation measurements
No source-named external measurement is stored.
No outbound reference observations are available for this paper version.
Observation 9d63370f-e907-4926-bde3-54d3e403bc98 · inbound
An Algebra of Observables for de Sitter Space Gravity and the Crossed Product
Reference 26
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.
Observation fb1705f1-ccf5-455b-96aa-a2d46a39e55b · inbound
Von Neumann Algebras in Double-Scaled SYK Gravity and the Crossed Product
Reference 68
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.
Observation e7e4cd30-124a-4f11-b085-c370e38aacb6 · inbound
QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow Gravity and the Crossed Product
Reference 219
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 578d4bb5-890a-4d94-bbf8-8d9a8cc1ed68 · inbound
Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity Gravity and the Crossed Product
Reference 134
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 294b87c7-69b4-469d-9be6-d34af38ab53b · inbound
Crossed products and quantum reference frames: on the observer-dependence of gravitational entropy Gravity and the Crossed Product
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a67d08f-e326-488e-bc6c-4119c72bc095 · inbound
Holographic observers for time-band algebras Gravity and the Crossed Product
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe1d2101-d621-4a2b-868a-3b204813b69e · inbound
Dressed Subsystems in Classical Gravity Gravity and the Crossed Product
Reference 83
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 795b2243-1474-4d0a-9981-418cc7930606 · inbound
A classical model for semiclassical state-counting Gravity and the Crossed Product
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef0cc74c-507c-45a6-a96f-d310e723aaaa · inbound
Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime Gravity and the Crossed Product
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7db72d90-0016-41c0-b1e0-e42ae4a02fe9 · inbound
Geometric modular flows in 2d CFT and beyond Gravity and the Crossed Product
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0a26f72-357a-480f-843e-100bd277ea5e · inbound
On the Underlying Nonrelativistic Nature of Relativistic Holography Gravity and the Crossed Product
Reference 213
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a36ae24-bab1-4895-a61b-85c1dfd3b7b2 · inbound
Timelike entanglement entropy Revisited Gravity and the Crossed Product
Reference 24
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.
Observation dad9bfd5-f153-46c5-974d-de9cc2e6e24e · inbound
Schwinger instability, modular flow, and holographic entropy for near-extremal charged BTZ black hole Gravity and the Crossed Product
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08414a24-f918-4eff-a907-99d8f94ffbcf · inbound
Quantum gravity observables: observation, algebras, and mathematical structure Gravity and the Crossed Product
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e83a269d-53f8-490d-81f8-1a0c1f1e3cf1 · inbound
Algebras, Entanglement Islands, and Observers Gravity and the Crossed Product
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71426889-2b1e-45b9-b5ba-22f140ddafc6 · inbound
Observer Time from Causality in Perturbative Quantum Gravity Gravity and the Crossed Product
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20b6f44d-1dbe-4eb2-ada0-377f35d78490 · inbound
The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Gravity and the Crossed Product
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f6eb2c3c-90e3-4e0d-91c8-28bf96c67908 · inbound
Probing the singularity at the holographic screen via $q$-holography Gravity and the Crossed Product
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5b19341-4c61-4fac-968c-ee3b49f79c03 · inbound
On the relation between perspective-neutral, algebraic, and effective quantum reference frames Gravity and the Crossed Product
Reference 86
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7be10884-86d3-42d0-aa58-8425372737df · inbound
Cosmological correlators in gravitationally-constrained de Sitter states Gravity and the Crossed Product
Reference 92
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23e775f9-0311-4c29-ae58-abd08fb288fc · inbound
Fiducial observers and the thermal atmosphere in the black hole quantum throat Gravity and the Crossed Product
Reference 9
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.
Observation 9f6284d7-2b19-4c07-863d-60687f227e9e · inbound
Algebraic traversable wormholes Gravity and the Crossed Product
Reference 6
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.
Observation c28a6035-5f1f-431f-b77d-76180b232718 · inbound
The algebraic structure of gravitational scrambling Gravity and the Crossed Product
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 94b37f76-7c62-4d92-9605-d7268f6ced16 · inbound
Quantum reference frames for spacetime symmetries and large gauge transformations Gravity and the Crossed Product
Reference 20
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.
Observation 71fe78d7-553b-4c42-9ab9-8d52eb4fca6e · inbound
The Making of von Neumann Algebras from Bulk Focusing Gravity and the Crossed Product
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 976b8a31-350a-4cbc-a074-2be67bca0a1b · inbound
Tests of restricted Quantum Focusing and a new CFT bound Gravity and the Crossed Product
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ccb1cb4c-29be-49a2-88ec-3338c4fb53cb · inbound
Searching for emergent spacetime in spin glasses Gravity and the Crossed Product
Reference 40
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.
Observation 41d92222-3db6-40d5-af99-24d72957c162 · inbound
Single-Sided Black Holes in Double-Scaled SYK Model and No Man's Island Gravity and the Crossed Product
Reference 24
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.
Observation 4e4e277f-631e-4518-a166-0ecf0fa4e9ba · inbound
Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity Gravity and the Crossed Product
Reference 141
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.
Observation 565cdf38-3435-4e88-9f50-878150a75a4f · inbound
The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model Gravity and the Crossed Product
Reference 6
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.
Observation 98ea96ac-1f97-4139-b601-6ee4a98b46c7 · inbound
Modular Witten Diagrams and Quantum Extremality Gravity and the Crossed Product
Reference 10
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.
Observation c1432759-5509-4dea-acc6-be9b57ead8bc · inbound
Black hole thermodynamics at null infinity. Part 1: Dual Generalized Second Law Gravity and the Crossed Product
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d938240-d8fe-4382-9f6b-d0915d232935 · inbound
Black hole thermodynamics at null infinity. Part 2: Open systems, Markovian dynamics and work extraction from non-rotating black holes Gravity and the Crossed Product
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5cda8acc-9040-41f2-a81d-f407bdae1dd1 · inbound
Edge Modes on Stringy Horizons Gravity and the Crossed Product
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93e85b5a-b97a-4274-8f25-4f75e218f7d6 · inbound
Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography Gravity and the Crossed Product
Reference 209
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.
Observation 0d7c78ee-0e76-42f4-bd22-9ca5d976c2b0 · inbound
Implication of dressed form of relational observable on von Neumann algebra Gravity and the Crossed Product
Reference 62
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.
Observation a3509044-49bf-4e05-a759-2b2be7405160 · inbound
Gravitational null rays: Covariant Quantization and the Dressing Time Gravity and the Crossed Product
Reference 49
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.
Observation cb0dfcf2-7749-4d31-98ab-642059ce2fcf · inbound
Albertian Channel Memory in Black-Hole Evaporation Gravity and the Crossed Product
Reference 29
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.
Observation 15348924-70c7-4619-8498-2b4cee5104e2 · inbound
Albertian Channel Memory in Black-Hole Evaporation Gravity and the Crossed Product
Reference 29
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.
Observation 85b3587c-78bd-44c9-a481-ffc80532397f · inbound
A Semiclassical Diagnostic for Spacetime Emergence Gravity and the Crossed Product
Reference 68
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.
Observation 2ac423e8-7dc0-4deb-97d8-294c61600a76 · inbound
Semiclassical algebraic reconstruction for type III algebras Gravity and the Crossed Product
Reference 1
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.
Observation 974759d8-44e4-46c7-aec4-00b0651bc1f6 · inbound
q-Askey Deformations of Double-Scaled SYK Gravity and the Crossed Product
Reference 87
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.
Observation d3e9c3e0-ebf4-43d5-a7d3-496868f1d27d · inbound
q-Askey Deformations of Double-Scaled SYK Gravity and the Crossed Product
Reference 87
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.
Observation 11922ac1-e602-435d-9654-35fa2c341d8a · inbound
Spectral Admissibility of Real Observers in Euclidean de Sitter Gravity Gravity and the Crossed Product
Reference 31
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.
Observation cce22f3c-9af5-475b-8d9b-6913e1358ad4 · inbound
Quantum Reference Fields Transformations in Linearized Quantum Gravity Gravity and the Crossed Product
Reference 97
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.
Observation 40cf086f-dd3f-4b10-8a71-a8f8f7380bb1 · inbound
Spacetime from Operator Algebras Gravity and the Crossed Product
Reference 17
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.
Observation ce61d508-9ef9-4f7b-9d9c-6052777c30de · inbound
Wigner negativity in Krylov space and emergent semiclassicality Gravity and the Crossed Product
Reference 83
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.
Observation 785c9576-a560-414e-b2ca-67f5e7f33298 · inbound
Falling through the horizon of a quantum black hole Gravity and the Crossed Product
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 21120870-fa4c-4f9a-9bd5-e95298336fb7 · inbound
Reduced Quantum-Reference-Frame Channels for Open Quantum Systems Gravity and the Crossed Product
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e0eea00-dc2c-4d25-b48c-e4fae8c1d1af · inbound
Quantization of Gravity on Null Hypersurfaces Gravity and the Crossed Product
Reference 70
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.
Observation 228b3aa5-d58a-448d-8507-1ab014fa0204 · inbound
No off-diagonal quantum focusing for R\'enyi divergences Gravity and the Crossed Product
Reference 11
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.
Observation 1091d41c-8bce-41ca-93be-c03a81169d9d · inbound
The mini-Page Curve in Cosmology Gravity and the Crossed Product
Reference 32
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.
Observation 77d56d81-de0b-4b8f-8375-5918e39636c3 · inbound
A de Sitter Anti-Scrambling Algebra Gravity and the Crossed Product
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80fd66f7-fe9e-45af-ad17-0a25d686add6 · inbound
Reference 86
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7fa17588-fdaa-495b-bcd1-a1295e6d2bc6 · inbound
Uniqueness of null-local modular flow Gravity and the Crossed Product
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 529b5973-cc31-4ffb-bd43-321cbf3a1123 · inbound
Toward an Observable Algebra for de Sitter Space: Gap Protection and Modular Dressings Gravity and the Crossed Product
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa588afa-a76f-470c-a33a-7be4098ace59 · inbound
Holography in the linearized quantum gravity regime and modular crossed product Gravity and the Crossed Product
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.