Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T15:46:05.995238Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2501.13736.
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 2026-08-10T15:46:05.995238Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-09T23:17:02.098650Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T14:11:05.471062Z
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 965963e4-265f-47c7-ab1c-e32db140e7c5 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Randomized quantization with exact error distribution,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5c0d6d58-5b1a-47e9-b0d7-ce91fe6bc0e2 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Rejection-sampled universal quantization for smaller quantization errors,
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1bafa4cf-ac7d-4ddd-b4b0-717cf463f522 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Strong functional representation lemma and applications to coding theorems,
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4ee076a-bd65-4019-818a-2e8272d8425c · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A lower bound on the expected length of one-to-one codes,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation eb1a5cf5-e7b3-4c2d-a49a-d6385bb653f6 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma New bounds on the expected length of one-to-one codes,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0f70ec45-1594-4510-ab71-4e5c5c288de7 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Minimum expected length of fixed-to-variable lossless compression without prefix constraints,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 78dafee9-f4ad-41fc-89f4-f7d1e7c1548e · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Information theory and statistical mechanics,
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e035b7b3-e77e-4884-8790-22e5d9eab3b0 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A minimum information principle: Theory and practice,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d1c7e7b4-0892-49f7-8a78-d27e3f44b710 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Guessing and entropy,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 50132c65-f06d-47de-a906-a2e30dcf9ee7 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma An inequality on guessing and its application to sequential decoding,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 218ca263-18da-481c-b5fe-f6963065a60b · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Asymptotics and non-asymptotics for universal fixed-to-variable source coding,
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 66015666-ae37-4d11-9e1a-5b4cf855e12a · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem,
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d54b1ff-31ee-4be1-b6f1-57c9c05ad9ea · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma The communication complexity of correlation,
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8b8442d-9992-400f-98f5-645aedd5a527 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A unified framework for one-shot achievability via the Poisson matching lemma,
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bbb7a138-494f-4c82-9310-96c1309fe86b · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Pointwise redundancy in one-shot lossy compression via Poisson functional representation,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 48d1b352-a880-4e92-903e-1b61d0d8a3ab · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Noiseless coding of correlated information sources,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c007dd32-399f-46b1-af18-69224356fe1f · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma An inequality on entropy,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 154f05ee-1211-4ecf-930b-6011c335d6ce · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma On measures of entropy and information,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2c33ef87-c491-463d-bedf-8356b1a33085 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Information measures and capacity of order α for discrete memoryless channels,
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 913eeb35-c98b-4b20-b2eb-eb864f45dbe6 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Encoding tasks and rényi entropy,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c9eb8e60-a22a-4aa9-b443-865108d2dbc7 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Distributed task encoding,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1a58dd38-1933-4f60-9463-9e853287605c · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Public vs private coin in bounded-round information,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9d0c47fc-b592-4127-a61a-aee5b0157ca3 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Channel simulation: Theory and applications to lossy compression and differential privacy,
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e100e183-3e81-4365-b08b-5a3a438ab301 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Extended Gray–Wyner system with complementary causal side information,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 253e11d6-242c-40a1-84ef-351633bc878e · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Coding of an information source having ambiguous alphabet and the entropy of graphs
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f92ee3b9-b8d1-4148-a7ca-8ccbff50e4ed · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma From the information bottleneck to the privacy funnel,
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 82b13da7-6d84-468d-a870-71ef44ff38bd · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A metric between probability distributions on finite sets of different cardinalities and applications to order reduction,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 65b5ea1c-732d-42b9-b790-7a4029f6c9e6 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Entropic causal inference,
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 34d5a9d9-a188-48cd-a9ac-d81edfdf8c06 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Minimum-entropy couplings and their applications,
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0d687d59-eecc-4fff-bc4f-1847241b7586 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Efficient approximate minimum entropy coupling of multiple probability distributions,
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8441dbcf-0211-4619-9302-17f99b930831 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A new outlook on Shannon’s information measures,
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6d9385d9-59fe-49c0-b17f-78811ecf4ebc · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A logarithmic decomposition for information,
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2c0aa07c-661e-4196-a007-c5a878c9f4f6 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A Poisson decomposition for information and the information-event diagram,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4a609d89-76b0-4d8e-88d0-8728cf1224da · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 39930f70-0d81-48f8-a313-aacdf6fd6b0a · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma On channel simulation with causal rejection samplers,
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b2bffe90-db97-4060-b757-493a8c4921c1 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma The redundancy of non-singular channel simulation,
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f2407ca9-ad00-40eb-9bd4-52e84cc9a2d4 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation caf0af5a-ba74-42b6-b68b-466f9c41ec05 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Derivation of nested transport models within a mathematical programming framework,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 86476b56-6cc3-4eab-9abb-27e38babcb89 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma An entropy-based modal split model,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 96f2a6a6-4780-48be-8fcc-1616b5127354 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A note on solution of large sparse maximum entropy problems with linear equality constraints,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c87a1861-1262-4f7d-9a1b-c9dac9572741 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Linear programming with entropic perturbation,
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9f0a3f59-0956-4c6d-8114-2cb409ab15fb · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Sinkhorn distances: Lightspeed computation of optimal transport,
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3401f980-36ab-4542-8664-9855e824aca7 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma An automated theorem proving framework for information-theoretic results,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 94c269f0-4f5a-4493-afc4-2328dcf7e8a0 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma The undecidability of conditional affine information inequalities and conditional independence implication with a binary constraint,
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c463acbf-b434-4d13-856b-9dd3b80e99b4 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma First-order theory of probabilistic independence and single-letter characterizations of capacity regions,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d8aacbda-b684-4934-a14c-1243c365f3bf · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A method for the construction of minimum-redundancy codes,
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 520155c3-962c-4694-9f1a-5956d0841911 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Why the Shannon and Hartley entropies are ‘natural’,
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d7083b08-ffd5-49ba-aee1-0ad16b45b6da · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma The quantum reverse Shannon theorem and resource tradeoffs for simulating quantum channels,
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a73f8f1-86b1-416d-bacc-1131e4f28447 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Adaptive greedy rejection sampling,
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dc47215f-df79-49d6-906c-6ee203c2a522 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Compression of sources of probability distributions and density operators
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d7532df-ff8f-40e1-9ade-c905da7dbbe1 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Pollard, A user’s guide to measure theoretic probability
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 09b78aa2-ee3a-4d60-8055-f380067992e2 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A mathematical theory of communication,
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b628d71b-001d-4543-9db9-86fa5b743e12 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma The complexity of nonuniform random number generation,
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c23b1bce-b438-4c66-ac6c-f2c7eb3e7ff1 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Optimal redundancy in exact channel synthesis,
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e5c2c73c-67fd-4495-8b90-9daf692e0d0c · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b1325216-394c-4df9-86b9-9de7472f3755 · outbound
Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma SymPy: symbolic computing in Python,
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 184b3f89-baba-4921-a134-7e935ccf4fbc · inbound
Rate-Cost Tradeoffs in Nonlinear Control Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.