Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:48:04.776385Z
Paper Citation Record · LEDGER
Neural networks leverage nominally quantum and post-quantum representations
As of 21 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 3 inbound Pith citation observations for arXiv:2507.07432.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T11:22:26.038430Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T21:16:14.970265Z
Reference resolution
45 of 45 outbound references displayed
- verified exact1
- verified fuzzy27
- unresolved17
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ba6730c2-6eda-415d-a1fe-52642b9640e1 · outbound
This paper cites In this case, our GHMM is constructed from the initial vector⟨⟨η(∅)| = ℧(ρ0) and from the transition operatorsT (x) =∑ yK⊤ x,y⊗K† x,y.
Neural networks leverage nominally quantum and post-quantum representations In this case, our GHMM is constructed from the initial vector⟨⟨η(∅)| = ℧(ρ0) and from the transition operatorsT (x) =∑ yK⊤ x,y⊗K† x,y
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:11.235399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ef474547-4272-4ce8-a845-cc95d35eed63 · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:11.214820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f0ba499a-eedd-42e9-8695-e5a5a158b1be · outbound
This paper cites However, because of the measurement, the CPTP map has|X| subchannels, each a trace-non-preserving superoperator Ax on the density matrix.
Neural networks leverage nominally quantum and post-quantum representations However, because of the measurement, the CPTP map has|X| subchannels, each a trace-non-preserving superoperator Ax on the density matrix
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:11.195561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b34524aa-962a-4471-8998-97ca53f01d4b · outbound
This paper cites The process is defined by two parameters,α and x, with dependent quantitiesβ = (1−α)/2 and y = 1− 2x.
Neural networks leverage nominally quantum and post-quantum representations The process is defined by two parameters,α and x, with dependent quantitiesβ = (1−α)/2 and y = 1− 2x
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:11.178407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5fce4327-930e-4d22-bccd-ef06c5e69519 · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:11.161150Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8ec6a268-7af3-4d44-a19e-df5fbc6d8868 · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:11.144919Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e55bb717-06ff-4f11-85eb-8d0191099655 · outbound
This paper cites Following Ref.
Neural networks leverage nominally quantum and post-quantum representations Following Ref
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:11.128672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 76a925e5-5642-4d29-8dc9-7e7708e07bdf · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 8
- Resolution
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- raw_fallback, observed 2026-08-06T18:48:11.112664Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b3568f49-01af-44d4-bac9-8b254e05df27 · outbound
This paper cites The model uses multi-head attention with 4 heads (dimension 16 per head), 64-dimensional embeddings, and a 256-dimensional feed-forward network with ReLU activation.
Neural networks leverage nominally quantum and post-quantum representations The model uses multi-head attention with 4 heads (dimension 16 per head), 64-dimensional embeddings, and a 256-dimensional feed-forward network with ReLU activation
Reference 9
- Resolution
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- raw_fallback, observed 2026-08-06T18:48:11.095814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 041af852-3867-4a67-8821-d7e37f3f4eed · outbound
This paper cites All experiments use consistent random seeding (seed=42) for reproducibility.
Neural networks leverage nominally quantum and post-quantum representations All experiments use consistent random seeding (seed=42) for reproducibility
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:11.078946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a551aafe-3823-4516-b53b-4a53f8b72582 · outbound
This paper cites Training is distributed across multiple GPUs, with specific GPU assignments managed through a parallel execution framework.
Neural networks leverage nominally quantum and post-quantum representations Training is distributed across multiple GPUs, with specific GPU assignments managed through a parallel execution framework
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:10.795564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8503cedf-1fce-424b-9f82-183ee2b32457 · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:10.520042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d1fbc222-33db-4918-a522-acba86c45289 · outbound
This paper cites Deduplication Before regression, we identify and aggregate duplicate token prefixes.
Neural networks leverage nominally quantum and post-quantum representations Deduplication Before regression, we identify and aggregate duplicate token prefixes
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:10.304181Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9053055d-10bc-470e-9861-5d972cf55e3e · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:10.106047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 84c1a825-d345-4523-9277-610c90bcb562 · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:09.962774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 64c9f300-d474-4597-b9a1-2cbae6e694ab · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 16
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- raw_fallback, observed 2026-08-06T18:48:09.841791Z
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 67278913-6842-4044-8c53-786f2221ccdd · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:09.680315Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ba191711-813e-4c1f-b5c9-bad1eaea6345 · outbound
This paper cites This provides a complementary view to the distance-based metrics, focusing on angular rather than Euclidean-distance relationships.
Neural networks leverage nominally quantum and post-quantum representations This provides a complementary view to the distance-based metrics, focusing on angular rather than Euclidean-distance relationships
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:09.491984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ef9046b6-d068-49db-a483-0cd0b2117611 · outbound
This paper cites This control undergoes the same regression analysis, allowing us to quantify how much structure arises from training versus architecture.
Neural networks leverage nominally quantum and post-quantum representations This control undergoes the same regression analysis, allowing us to quantify how much structure arises from training versus architecture
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:09.374680Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 603dc11c-578b-4074-9a05-e0407d53f676 · outbound
This paper cites Please see the README.md for instructions on how to recreate all training and figure generation in this manuscript.
Neural networks leverage nominally quantum and post-quantum representations Please see the README.md for instructions on how to recreate all training and figure generation in this manuscript
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:09.239926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7889d57e-3a0a-4185-8131-295e3ff54179 · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:09.055893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e6a156e8-7ca8-4aa3-a32b-568f9f5118a7 · outbound
This paper cites Note that losses in these files/links are reported normalized to the minimal possible loss given the process the network is trained on.
Neural networks leverage nominally quantum and post-quantum representations Note that losses in these files/links are reported normalized to the minimal possible loss given the process the network is trained on
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:08.913292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a42862c8-10fd-4384-9c28-85ff3e3d5a7e · outbound
This paper cites Transformers represent belief state geometry in their residual stream.
Neural networks leverage nominally quantum and post-quantum representations Transformers represent belief state geometry in their residual stream
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:48:02.447587Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1b975aaf-a343-44d8-9eaf-a03469f5c939 · outbound
This paper cites Riechers, Daniel Filan, and Adam S.
Neural networks leverage nominally quantum and post-quantum representations Riechers, Daniel Filan, and Adam S
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:08.766593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fe6b3d70-1c17-4ac8-aff7-ce3926c87a4a · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:08.622538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dbb1d4c3-3d15-488f-9a93-27e0e21bf37f · outbound
This paper cites Cambridge university press, 2010.
Neural networks leverage nominally quantum and post-quantum representations Cambridge university press, 2010
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:08.461361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3fdaf1c0-7d96-4e13-a4ea-4f7d0b884826 · outbound
This paper cites General probabilistic theories: An introduction.Physics Reports, 1033:1–64, 2023.
Neural networks leverage nominally quantum and post-quantum representations General probabilistic theories: An introduction.Physics Reports, 1033:1–64, 2023
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:08.286436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d53cef0f-db75-40fe-92d9-beece3d4beed · outbound
This paper cites Quantum theory in finite dimension cannot explain every general process with finite memory.Communications in Mathematical Physics, 405(2):50, 2024.
Neural networks leverage nominally quantum and post-quantum representations Quantum theory in finite dimension cannot explain every general process with finite memory.Communications in Mathematical Physics, 405(2):50, 2024
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:08.127708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a655eebc-f62f-412d-a4d7-c689a09a1b27 · outbound
This paper cites Quantum learning of classical stochastic processes: The completely positive realization problem.
Neural networks leverage nominally quantum and post-quantum representations Quantum learning of classical stochastic processes: The completely positive realization problem
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:07.993835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8a1ac30e-9a07-407b-93d1-9c1d2815d957 · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 30
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- raw_fallback, observed 2026-08-06T18:48:07.740164Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1f677b8d-1708-4f85-bdd8-c283150f1395 · outbound
This paper cites A canonical form for weighted automata and applications to approximate minimization.
Neural networks leverage nominally quantum and post-quantum representations A canonical form for weighted automata and applications to approximate minimization
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:07.445136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 62da2aaa-aaeb-4471-9f2f-b3c8ebaf7a73 · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:07.293132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 26cc1fac-27bd-435b-b5d8-a6ebe3b80f93 · outbound
This paper cites Quantum adaptive agents with efficient long-term memories.
Neural networks leverage nominally quantum and post-quantum representations Quantum adaptive agents with efficient long-term memories
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:07.134025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e65a121f-b0bf-472b-bf96-c275a8032c70 · outbound
This paper cites Quantum generation of stochastic processes: spectral invariants and memory bounds.
Neural networks leverage nominally quantum and post-quantum representations Quantum generation of stochastic processes: spectral invariants and memory bounds
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:06.951639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 314a2eda-7921-4a52-bf46-f7d324d4fb86 · outbound
This paper cites Fundamentals of quantum mechanics in Liouville space.European Journal of Physics, 41(6):063002,.
Neural networks leverage nominally quantum and post-quantum representations Fundamentals of quantum mechanics in Liouville space.European Journal of Physics, 41(6):063002,
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:06.669210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 93930815-6a0a-421f-a125-b9ddc1ad8f25 · outbound
This paper cites Riechers, Chaitanya Gupta, Artemy Kolchinsky, and Mile Gu.
Neural networks leverage nominally quantum and post-quantum representations Riechers, Chaitanya Gupta, Artemy Kolchinsky, and Mile Gu
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:06.466259Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 620ff0fb-5e80-48b0-94af-bcacb72c3226 · outbound
This paper cites Riechers and Thomas J.
Neural networks leverage nominally quantum and post-quantum representations Riechers and Thomas J
Reference 37
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- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:06.204056Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f67753ce-c384-4f34-b3c1-66bbb79291cf · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 38
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- raw_fallback, observed 2026-08-06T18:48:06.022359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2ff66226-394b-4bba-a1ea-dd798fcc82f5 · outbound
This paper cites Position: The platonic representation hypothesis.
Neural networks leverage nominally quantum and post-quantum representations Position: The platonic representation hypothesis
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:05.886848Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 593e3cf8-0e90-4eea-ac71-e4f9b2a66443 · outbound
This paper cites an unresolved cited work.
Neural networks leverage nominally quantum and post-quantum representations Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:48:05.649254Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 187d8f78-fb70-46c9-bf18-8099f0a84908 · outbound
This paper cites RNNs represent belief state geometry in their hidden states.
Neural networks leverage nominally quantum and post-quantum representations RNNs represent belief state geometry in their hidden states
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:05.477478Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0dd0ea06-82f7-4f61-83ad-f01dbb981ebb · outbound
This paper cites Next-token pretraining implies in-context learning.
Neural networks leverage nominally quantum and post-quantum representations Next-token pretraining implies in-context learning
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:48:04.570803Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e7bfdc0-4d19-475d-8798-bb7742ab7eed · outbound
This paper cites Jakóbczyk and M.
Neural networks leverage nominally quantum and post-quantum representations Jakóbczyk and M
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:05.328431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b9c0c3ae-04a7-4cd7-b07a-678f80024921 · outbound
This paper cites Transformerlens.https://github.com/TransformerLensOrg/TransformerLens, 2022.
Neural networks leverage nominally quantum and post-quantum representations Transformerlens.https://github.com/TransformerLensOrg/TransformerLens, 2022
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:48:05.204101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 37398e48-6fe4-4f2f-9ab5-bffd9fe414b5 · outbound
This paper cites Synchronization and Control in Intrinsic and Designed Computation: An Information-Theoretic Analysis of Competing Models of Stochastic Computation.
Neural networks leverage nominally quantum and post-quantum representations Synchronization and Control in Intrinsic and Designed Computation: An Information-Theoretic Analysis of Competing Models of Stochastic Computation
Reference 2010
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:48:04.992939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation 16042aea-f744-4c8d-814a-4f2fac008107 · inbound
Identifiability and minimality bounds of quantum and post-quantum models of classical stochastic processes cites this paper.
Identifiability and minimality bounds of quantum and post-quantum models of classical stochastic processes Neural networks leverage nominally quantum and post-quantum representations
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T11:22:26.038430Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d295968-ee12-4f5e-a8e6-2b53b919aeaf · inbound
PreScience: A Dataset and Benchmark for Scientific Forecasting cites this paper.
PreScience: A Dataset and Benchmark for Scientific Forecasting Neural networks leverage nominally quantum and post-quantum representations
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T21:25:10.509998Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd03823b-243a-413b-a2b9-54b57584f6f0 · inbound
Structure and Scale in Simplicial Sequence Modelling cites this paper.
Structure and Scale in Simplicial Sequence Modelling Neural networks leverage nominally quantum and post-quantum representations
Reference 56
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T21:16:14.971896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.