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Paper Citation Record · LEDGER

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma

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.

pith.paper-citation-record.v1
2501.13736 v4

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:46:05.995238Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T23:17:02.098650Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T14:11:05.471062Z

Reference resolution

56 of 56 outbound references displayed

  • verified exact2
  • verified fuzzy43
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 965963e4-265f-47c7-ab1c-e32db140e7c5 · outbound

This paper cites Randomized quantization with exact error distribution,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Randomized quantization with exact error distribution,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:07.054426Z

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.

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Observation 5c0d6d58-5b1a-47e9-b0d7-ce91fe6bc0e2 · outbound

This paper cites Rejection-sampled universal quantization for smaller quantization errors,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Rejection-sampled universal quantization for smaller quantization errors,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:07.038810Z

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.

source=pdf_text observed=2026-08-10T15:46:05.732624Z digest=sha256:4063ce1a865f89f30b6252de24a6d725210517d52c754b0fa5556917d6b8f5dc

Observation 1bafa4cf-ac7d-4ddd-b4b0-717cf463f522 · outbound

This paper cites Strong functional representation lemma and applications to coding theorems,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Strong functional representation lemma and applications to coding theorems,

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T15:46:05.737607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:46:05.737607Z digest=sha256:30f1a0975e81ab1eb86b4f34474352b2b7ab4f0de1b56eda6e5a5509503f66c2

Observation f4ee076a-bd65-4019-818a-2e8272d8425c · outbound

This paper cites A lower bound on the expected length of one-to-one codes,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:07.013214Z

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.

source=pdf_text observed=2026-08-10T15:46:05.742409Z digest=sha256:7026720f75052dbb6e399e4a772a6b8e873779183e25286826c50e7608416ecd

Observation eb1a5cf5-e7b3-4c2d-a49a-d6385bb653f6 · outbound

This paper cites New bounds on the expected length of one-to-one codes,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.997424Z

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.

source=pdf_text observed=2026-08-10T15:46:05.747364Z digest=sha256:e39c21fa039a67c0711f5b2b7d24f81564a2f00c98d90755ad4fcfb5854a4905

Observation 0f70ec45-1594-4510-ab71-4e5c5c288de7 · outbound

This paper cites Minimum expected length of fixed-to-variable lossless compression without prefix constraints,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.981101Z

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.

source=pdf_text observed=2026-08-10T15:46:05.752254Z digest=sha256:4e0a01f3812ed380a0c30b74e6372bc52248a662c1b6fd422728db30d69da38a

Observation 78dafee9-f4ad-41fc-89f4-f7d1e7c1548e · outbound

This paper cites Information theory and statistical mechanics,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Information theory and statistical mechanics,

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T15:46:05.757750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:46:05.757750Z digest=sha256:3210bc5a00e24f6c680a22a3beb077bd5a8848c0301a30b2dc3dbd1400c1f0d5

Observation e035b7b3-e77e-4884-8790-22e5d9eab3b0 · outbound

This paper cites A minimum information principle: Theory and practice,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A minimum information principle: Theory and practice,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.955464Z

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.

source=pdf_text observed=2026-08-10T15:46:05.762446Z digest=sha256:19fd3c1f8d41e958031789ff4504f6cfb24cf6d489deb3ef49ab08854ba7b7ed

Observation d1c7e7b4-0892-49f7-8a78-d27e3f44b710 · outbound

This paper cites Guessing and entropy,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Guessing and entropy,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.939733Z

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.

source=pdf_text observed=2026-08-10T15:46:05.767126Z digest=sha256:86f58e18b74feaae422e9f852cd216f18e17e5523fd02916b3425ec23488334a

Observation 50132c65-f06d-47de-a906-a2e30dcf9ee7 · outbound

This paper cites An inequality on guessing and its application to sequential decoding,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma An inequality on guessing and its application to sequential decoding,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.924095Z

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.

source=pdf_text observed=2026-08-10T15:46:05.771769Z digest=sha256:2512d68a438bf425051326682a3c3d25928ffb974904dd684fe8a2308dcddc4a

Observation 218ca263-18da-481c-b5fe-f6963065a60b · outbound

This paper cites Asymptotics and non-asymptotics for universal fixed-to-variable source coding,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.907681Z

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.

source=pdf_text observed=2026-08-10T15:46:05.776240Z digest=sha256:8dec5a0103fa8b3cc1cd7d5a28a8b7ce04749ccb232d83a5d251a86c03634c3e

Observation 66015666-ae37-4d11-9e1a-5b4cf855e12a · outbound

This paper cites Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem,.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:46:05.780906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:46:05.780906Z digest=sha256:d364693956a12eb21c4c1c13c6e82fdce747907851cd36598c3ad01a15b83e47

Observation 8d54b1ff-31ee-4be1-b6f1-57c9c05ad9ea · outbound

This paper cites The communication complexity of correlation,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma The communication complexity of correlation,

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-10T15:46:05.786856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:46:05.786856Z digest=sha256:c513894ea0fe0383535922924ffbcf7bca96d075d8eaa29749c2e338aaaabc09

Observation a8b8442d-9992-400f-98f5-645aedd5a527 · outbound

This paper cites A unified framework for one-shot achievability via the Poisson matching lemma,.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:46:05.791278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:46:05.791278Z digest=sha256:b8397224a1340c74e0ce73609169386a0287100a95bd06a1ce70a6890bc81d6f

Observation bbb7a138-494f-4c82-9310-96c1309fe86b · outbound

This paper cites Pointwise redundancy in one-shot lossy compression via Poisson functional representation,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.860467Z

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.

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Observation 48d1b352-a880-4e92-903e-1b61d0d8a3ab · outbound

This paper cites Noiseless coding of correlated information sources,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Noiseless coding of correlated information sources,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.844626Z

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.

source=pdf_text observed=2026-08-10T15:46:05.800990Z digest=sha256:7e63b96f13de90b9eb21af31e47616f5e1539b43c1627bdd7ce3d4430b0ac2c2

Observation c007dd32-399f-46b1-af18-69224356fe1f · outbound

This paper cites An inequality on entropy,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma An inequality on entropy,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.829122Z

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.

source=pdf_text observed=2026-08-10T15:46:05.805628Z digest=sha256:315713aca17cce7126ee7c78998e749139d9232b68d2d84fcfb79c35066aaacc

Observation 154f05ee-1211-4ecf-930b-6011c335d6ce · outbound

This paper cites On measures of entropy and information,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma On measures of entropy and information,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.813922Z

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.

source=pdf_text observed=2026-08-10T15:46:05.810743Z digest=sha256:e6cee277d0aa090a74fc1b4eb2f0b1f67a7b6b3d7d473b90ad885c307c25a1d2

Observation 2c33ef87-c491-463d-bedf-8356b1a33085 · outbound

This paper cites Information measures and capacity of order α for discrete memoryless channels,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.798023Z

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.

source=pdf_text observed=2026-08-10T15:46:05.816269Z digest=sha256:b147a9958e54a1227a961fdc2048a5b69c274b0e10c435a009cd323d702779e3

Observation 913eeb35-c98b-4b20-b2eb-eb864f45dbe6 · outbound

This paper cites Encoding tasks and rényi entropy,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Encoding tasks and rényi entropy,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.782965Z

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.

source=pdf_text observed=2026-08-10T15:46:05.821079Z digest=sha256:72a8ea93dc183164ad53c726f19043154ee58471fafb830ff683519967b33da0

Observation c9eb8e60-a22a-4aa9-b443-865108d2dbc7 · outbound

This paper cites Distributed task encoding,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Distributed task encoding,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.767831Z

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.

source=pdf_text observed=2026-08-10T15:46:05.825930Z digest=sha256:98c9b397be7e1beefe4f232f80801d684fa083b1f264fa7890daf5a14c8db961

Observation 1a58dd38-1933-4f60-9463-9e853287605c · outbound

This paper cites Public vs private coin in bounded-round information,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Public vs private coin in bounded-round information,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.752793Z

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.

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Observation 9d0c47fc-b592-4127-a61a-aee5b0157ca3 · outbound

This paper cites Channel simulation: Theory and applications to lossy compression and differential privacy,.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:46:05.836209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:46:05.836209Z digest=sha256:d1149ba59ae9241166a386b17aff67bca5af37121f02b6a16d4d1e6bcee30107

Observation e100e183-3e81-4365-b08b-5a3a438ab301 · outbound

This paper cites Extended Gray–Wyner system with complementary causal side information,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Extended Gray–Wyner system with complementary causal side information,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.737485Z

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.

source=pdf_text observed=2026-08-10T15:46:05.841314Z digest=sha256:76ed8b65b99d9ef2598f2999aaa38d6a6451156042091a0b22eadf948fa231eb

Observation 253e11d6-242c-40a1-84ef-351633bc878e · outbound

This paper cites Coding of an information source having ambiguous alphabet and the entropy of graphs.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.722833Z

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.

source=pdf_text observed=2026-08-10T15:46:05.846549Z digest=sha256:32a53874eb0225e01783ad9313ff337ca4013f0fd29e9d66ca0103894ddb7f6c

Observation f92ee3b9-b8d1-4148-a7ca-8ccbff50e4ed · outbound

This paper cites From the information bottleneck to the privacy funnel,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma From the information bottleneck to the privacy funnel,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.707712Z

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.

source=pdf_text observed=2026-08-10T15:46:05.851200Z digest=sha256:f01d4b79e8691b450405bb0bd61ee4e342dc79b2af68cff986343c14d8cb91aa

Observation 82b13da7-6d84-468d-a870-71ef44ff38bd · outbound

This paper cites A metric between probability distributions on finite sets of different cardinalities and applications to order reduction,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.693110Z

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.

source=pdf_text observed=2026-08-10T15:46:05.855939Z digest=sha256:84ec0fdceb2022b0c5035f0001cee7f35680446b57dc3fba51a46fdd2d4e4ee2

Observation 65b5ea1c-732d-42b9-b790-7a4029f6c9e6 · outbound

This paper cites Entropic causal inference,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Entropic causal inference,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.676291Z

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.

source=pdf_text observed=2026-08-10T15:46:05.860893Z digest=sha256:ecc21a907000fb9d6900c37e1d7e10291ac416f7e398f41078324e86bb61552b

Observation 34d5a9d9-a188-48cd-a9ac-d81edfdf8c06 · outbound

This paper cites Minimum-entropy couplings and their applications,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Minimum-entropy couplings and their applications,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.661251Z

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.

source=pdf_text observed=2026-08-10T15:46:05.865698Z digest=sha256:e59fc6a3258208737f723bd8f7861761496c72467cb2deb1d31335655fa47704

Observation 0d687d59-eecc-4fff-bc4f-1847241b7586 · outbound

This paper cites Efficient approximate minimum entropy coupling of multiple probability distributions,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Efficient approximate minimum entropy coupling of multiple probability distributions,

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.645797Z

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.

source=pdf_text observed=2026-08-10T15:46:05.870376Z digest=sha256:513cbba7ae4dea23b357c36568e193d8f356185d66a9cea3174d3422147bf843

Observation 8441dbcf-0211-4619-9302-17f99b930831 · outbound

This paper cites A new outlook on Shannon’s information measures,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A new outlook on Shannon’s information measures,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.630518Z

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.

source=pdf_text observed=2026-08-10T15:46:05.874990Z digest=sha256:4ce7aeb958c86f4af4ac0a1d79ab93af7d6801d450821279790b0672c2ca42f9

Observation 6d9385d9-59fe-49c0-b17f-78811ecf4ebc · outbound

This paper cites A logarithmic decomposition for information,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A logarithmic decomposition for information,

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.615944Z

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.

source=pdf_text observed=2026-08-10T15:46:05.879900Z digest=sha256:9698ea86a692cada6d40542c5e272fb28e9886cd09baf6cf6ac6c404e7bdcff3

Observation 2c0aa07c-661e-4196-a007-c5a878c9f4f6 · outbound

This paper cites A Poisson decomposition for information and the information-event diagram,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A Poisson decomposition for information and the information-event diagram,

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.600477Z

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.

source=pdf_text observed=2026-08-10T15:46:05.884794Z digest=sha256:a1acc8f147444e55b175a6b62be2f8708d487527f3a25542e3f9e82db0641cfc

Observation 4a609d89-76b0-4d8e-88d0-8728cf1224da · outbound

This paper cites an unresolved cited work.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:46:06.584916Z

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.

source=pdf_text observed=2026-08-10T15:46:05.889542Z digest=sha256:d23882947c3a4108dc5a7db0edd315025c24727d959b2a05357c484836a097da

Observation 39930f70-0d81-48f8-a313-aacdf6fd6b0a · outbound

This paper cites On channel simulation with causal rejection samplers,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma On channel simulation with causal rejection samplers,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.568970Z

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.

source=pdf_text observed=2026-08-10T15:46:05.894412Z digest=sha256:953730b87e1f45d9df5dc5b6532105b3ca1a288369a9a5fd45368bc095cc708f

Observation b2bffe90-db97-4060-b757-493a8c4921c1 · outbound

This paper cites The redundancy of non-singular channel simulation,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma The redundancy of non-singular channel simulation,

Reference 36

Resolution
verified exact
raw_fallback, observed 2026-08-10T15:46:06.174049Z

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.

source=pdf_text observed=2026-08-10T15:46:05.898953Z digest=sha256:fe966131a4e24fb0a4568f8de9632204ad819a654c8fb4385f34e60aa9ada70a

Observation f2407ca9-ad00-40eb-9bd4-52e84cc9a2d4 · outbound

This paper cites an unresolved cited work.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Unresolved cited work

Reference 37

Resolution
verified exact
doi, observed 2026-08-10T15:46:06.034860Z

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.

source=pdf_text observed=2026-08-10T15:46:05.903685Z digest=sha256:2ebec32c35c3377007d8c7b0aa6b5ad63ef159cfb0ae870a6d0026239a2dc68c

Observation caf0af5a-ba74-42b6-b68b-466f9c41ec05 · outbound

This paper cites Derivation of nested transport models within a mathematical programming framework,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Derivation of nested transport models within a mathematical programming framework,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.552909Z

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.

source=pdf_text observed=2026-08-10T15:46:05.908525Z digest=sha256:67744a81739a59c2ad7fcf06c85e432dc48e6ad387ed4c5c0ebccebd857c172f

Observation 86476b56-6cc3-4eab-9abb-27e38babcb89 · outbound

This paper cites An entropy-based modal split model,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma An entropy-based modal split model,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.537862Z

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.

source=pdf_text observed=2026-08-10T15:46:05.913221Z digest=sha256:1cc7882429bf60e7ab4db0c7df099d9ac8443d860790fbb17a43ac58d54fb095

Observation 96f2a6a6-4780-48be-8fcc-1616b5127354 · outbound

This paper cites A note on solution of large sparse maximum entropy problems with linear equality constraints,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.521527Z

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.

source=pdf_text observed=2026-08-10T15:46:05.918080Z digest=sha256:758700634059771547650f06d5ba0d1565ab89cf2568666e7c0bb794f06b49f8

Observation c87a1861-1262-4f7d-9a1b-c9dac9572741 · outbound

This paper cites Linear programming with entropic perturbation,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Linear programming with entropic perturbation,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.503924Z

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.

source=pdf_text observed=2026-08-10T15:46:05.922997Z digest=sha256:96dc063ad94922cabd6dec4f0a5fd42f01e41f038f37bd852c7289490953bdc4

Observation 9f0a3f59-0956-4c6d-8114-2cb409ab15fb · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Sinkhorn distances: Lightspeed computation of optimal transport,

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.487988Z

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.

source=pdf_text observed=2026-08-10T15:46:05.927834Z digest=sha256:bb688b849ca18a876a7a58278706df15e65a0c053436a9c5a49dae80a829cb8c

Observation 3401f980-36ab-4542-8664-9855e824aca7 · outbound

This paper cites An automated theorem proving framework for information-theoretic results,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma An automated theorem proving framework for information-theoretic results,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.472626Z

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.

source=pdf_text observed=2026-08-10T15:46:05.932854Z digest=sha256:901f92e64d30a4bb6f7d187f9d51896dee275c3659969b253ddb36fb79358d3e

Observation 94c269f0-4f5a-4493-afc4-2328dcf7e8a0 · outbound

This paper cites The undecidability of conditional affine information inequalities and conditional independence implication with a binary constraint,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.457294Z

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.

source=pdf_text observed=2026-08-10T15:46:05.937624Z digest=sha256:7ed4f1f1768391406bcab4e88a976374fd01cdbda1a77b174b034a1596a03c9d

Observation c463acbf-b434-4d13-856b-9dd3b80e99b4 · outbound

This paper cites First-order theory of probabilistic independence and single-letter characterizations of capacity regions,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.441430Z

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.

source=pdf_text observed=2026-08-10T15:46:05.942929Z digest=sha256:65b0ad7de7813540cfbd99601af37c1398dd1dedf3bb9fb939794501d863a4ef

Observation d8aacbda-b684-4934-a14c-1243c365f3bf · outbound

This paper cites A method for the construction of minimum-redundancy codes,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A method for the construction of minimum-redundancy codes,

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-10T15:46:05.947464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:46:05.947464Z digest=sha256:8b9361df8ffde13bb6baddc733edc8facc497adbb54489f27b11b629a3e5a778

Observation 520155c3-962c-4694-9f1a-5956d0841911 · outbound

This paper cites Why the Shannon and Hartley entropies are ‘natural’,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Why the Shannon and Hartley entropies are ‘natural’,

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.415715Z

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.

source=pdf_text observed=2026-08-10T15:46:05.952062Z digest=sha256:16a580538298404981edd876fcb6450e04699e16ff44caf7a25e767a70d5d9db

Observation d7083b08-ffd5-49ba-aee1-0ad16b45b6da · outbound

This paper cites The quantum reverse Shannon theorem and resource tradeoffs for simulating quantum channels,.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:46:05.956911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:46:05.956911Z digest=sha256:7b8565b3cf461faf2c59cd656f1be95fecaf266a6b4449ebbe71b30f052f5e58

Observation 9a73f8f1-86b1-416d-bacc-1131e4f28447 · outbound

This paper cites Adaptive greedy rejection sampling,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Adaptive greedy rejection sampling,

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.389815Z

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.

source=pdf_text observed=2026-08-10T15:46:05.961466Z digest=sha256:82333f4468609671d599b9c33591f9c15199eecf0a7b9bb14b935088737a1b5a

Observation dc47215f-df79-49d6-906c-6ee203c2a522 · outbound

This paper cites Compression of sources of probability distributions and density operators.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Compression of sources of probability distributions and density operators

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-10T15:46:05.966268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:46:05.966268Z digest=sha256:c5d8ee00b02f5a5fb02d839e231ab5b9ad4cbd690107ed8f316ff29e7fea62ec

Observation 7d7532df-ff8f-40e1-9ade-c905da7dbbe1 · outbound

This paper cites Pollard, A user’s guide to measure theoretic probability.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Pollard, A user’s guide to measure theoretic probability

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.374133Z

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.

source=pdf_text observed=2026-08-10T15:46:05.971200Z digest=sha256:ca51b89f3a175d047c372e7852401c8dcf2886834bf66ca3c0887e400e1c2e65

Observation 09b78aa2-ee3a-4d60-8055-f380067992e2 · outbound

This paper cites A mathematical theory of communication,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma A mathematical theory of communication,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.357576Z

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.

source=pdf_text observed=2026-08-10T15:46:05.975859Z digest=sha256:79fea7b4d4eddebb13e020108db1821f008ca8b24e3a502dcbd662fbd8457859

Observation b628d71b-001d-4543-9db9-86fa5b743e12 · outbound

This paper cites The complexity of nonuniform random number generation,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma The complexity of nonuniform random number generation,

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.340581Z

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.

source=pdf_text observed=2026-08-10T15:46:05.981335Z digest=sha256:7492e6f2c978b1aab0ffdcdac43286a74583ef2486ac5ae586fa1e71a88afead

Observation c23b1bce-b438-4c66-ac6c-f2c7eb3e7ff1 · outbound

This paper cites Optimal redundancy in exact channel synthesis,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Optimal redundancy in exact channel synthesis,

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.324056Z

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.

source=pdf_text observed=2026-08-10T15:46:05.985859Z digest=sha256:c9c1eff02d697becc3d39f597d763a72b0140ef41ab040e243a59a4c0132b3bb

Observation e5c2c73c-67fd-4495-8b90-9daf692e0d0c · outbound

This paper cites an unresolved cited work.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:46:06.208060Z

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.

source=pdf_text observed=2026-08-10T15:46:05.990327Z digest=sha256:8f032c9f622525c52607a720cd4ca362eef36da25b951a873351a3849ad34ccc

Observation b1325216-394c-4df9-86b9-9de7472f3755 · outbound

This paper cites SymPy: symbolic computing in Python,.

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma SymPy: symbolic computing in Python,

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:46:06.192162Z

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.

source=pdf_text observed=2026-08-10T15:46:05.995238Z digest=sha256:9f228022d14924875a1295e9ef85942ebf7b4ac9da0657ba0090bf4b9e96d8b1

Pith citing papers

Observation 184b3f89-baba-4921-a134-7e935ccf4fbc · inbound

Rate-Cost Tradeoffs in Nonlinear Control cites this paper.

Rate-Cost Tradeoffs in Nonlinear Control Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-07-28T03:24:07.136480Z

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.

source=pdf_text observed=2026-05-09T23:17:02.098650Z digest=sha256:9e9cb0f25ae3c92a97c196383611f7b57538e3e66c69a877d3450b46e48cfb28