Paper Citation Record · LEDGER

Universal chain rules from entropic triangle inequalities

As of 12 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2412.06723.

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

pith.paper-citation-record.v1
2412.06723 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:30:50.541977Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

verified exact4
verified fuzzy3
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch3

External citation measurements

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Outbound references

Observation ac175618-26f9-443e-8ce8-4f4765a64515 · outbound

This paper cites write newline.

Universal chain rules from entropic triangle inequalities write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.356084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07973a76-3cf9-424c-8ed8-3bd41bddd595 · outbound

This paper cites Partially smoothed information measures.

Universal chain rules from entropic triangle inequalities Partially smoothed information measures

Reference 2

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T19:30:51.519774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 42b89eea-b651-430d-8e68-1ed0fcb43afd · outbound

This paper cites Continuity of quantum conditional information.

Universal chain rules from entropic triangle inequalities Continuity of quantum conditional information

Reference 3

Resolution: verified exact; doi, observed 2026-08-11T19:30:50.800953Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e6293dcb-3784-4cbc-9db6-2958d278f258 · outbound

This paper cites Practical device-independent quantum cryptography via entropy accumulation.

Universal chain rules from entropic triangle inequalities Practical device-independent quantum cryptography via entropy accumulation

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.377385Z

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Observation ea9f5b16-79db-4729-adad-0b480bd8a036 · outbound

This paper cites Simple and tight device-independent security proofs.

Universal chain rules from entropic triangle inequalities Simple and tight device-independent security proofs

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.383586Z

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Unavailable: canonical work link unavailable.

Observation 332c32a4-58ec-4e31-8446-bf2e146c36e4 · outbound

This paper cites an unresolved cited work.

Universal chain rules from entropic triangle inequalities Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:30:51.617586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 94ca9b72-e573-40ee-a53f-dac1deb57282 · outbound

This paper cites On variational expressions for quantum relative entropies.

Universal chain rules from entropic triangle inequalities On variational expressions for quantum relative entropies

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.399589Z

Source-reported events for the cited work

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Observation 173cc377-914f-42c4-b90f-6b6f38c0b903 · outbound

This paper cites Positive Definite Matrices.

Universal chain rules from entropic triangle inequalities Positive Definite Matrices

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.405935Z

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Observation b12ee34f-bffa-44f7-979c-b0011d50fff1 · outbound

This paper cites One-shot decoupling.

Universal chain rules from entropic triangle inequalities One-shot decoupling

Reference 9

Resolution: verified exact; doi, observed 2026-08-11T19:30:50.746353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 15b18461-cc75-4d2c-b709-9a31838c9796 · outbound

This paper cites Entropy accumulation with improved second-order term.

Universal chain rules from entropic triangle inequalities Entropy accumulation with improved second-order term

Reference 10

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T19:30:51.382912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 058e668c-3ba7-4532-94eb-9b287d584ee8 · outbound

This paper cites Entropy accumulation.

Universal chain rules from entropic triangle inequalities Entropy accumulation

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.424158Z

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Unavailable: canonical work link unavailable.

Observation 8c4ca5e2-5bf1-4cf1-8d94-d24275527c0e · outbound

This paper cites Does approximate equality of quantum states imply operator inequality in a large subspace? MathOverflow https://mathoverflow.net/q/451757, 2023.

Universal chain rules from entropic triangle inequalities Does approximate equality of quantum states imply operator inequality in a large subspace? MathOverflow https://mathoverflow.net/q/451757, 2023

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:30:51.598606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e8171f00-86b0-4e9d-b7cb-72f47932c403 · outbound

This paper cites Renes, and David Sutter.

Universal chain rules from entropic triangle inequalities Renes, and David Sutter

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.436247Z

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Unavailable: canonical work link unavailable.

Observation 2ffec80d-2940-4397-902f-fb40e818f50e · outbound

This paper cites Short proofs of the Quantum Substate Theorem.

Universal chain rules from entropic triangle inequalities Short proofs of the Quantum Substate Theorem

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:30:50.721449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 57303516-6b12-4226-990b-9b229e11aedc · outbound

This paper cites The Trigger Mechanism of Recurrent Solar Active Region Jets Revealed by the Magnetic Properties of a Coronal Geyser Site.

Universal chain rules from entropic triangle inequalities The Trigger Mechanism of Recurrent Solar Active Region Jets Revealed by the Magnetic Properties of a Coronal Geyser Site

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.445063Z

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Observation 22a489cd-ab8d-45ae-84c3-9fdc4053263a · outbound

This paper cites The operational meaning of min- and max-entropy.

Universal chain rules from entropic triangle inequalities The operational meaning of min- and max-entropy

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.450417Z

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Unavailable: canonical work link unavailable.

Observation 6524dc68-1796-4725-a046-e0371e379927 · outbound

This paper cites Brown, Jun Zhang, Roger Colbeck, Jingyun Fan, Qiang Zhang, and Jian-Wei Pan.

Universal chain rules from entropic triangle inequalities Brown, Jun Zhang, Roger Colbeck, Jingyun Fan, Qiang Zhang, and Jian-Wei Pan

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.454990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0707f7c4-9b28-4e82-8df9-371e0d165945 · outbound

This paper cites Smooth min-entropy lower bounds for approximation chains.

Universal chain rules from entropic triangle inequalities Smooth min-entropy lower bounds for approximation chains

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.459698Z

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Unavailable: canonical work link unavailable.

Observation 7ee438be-4897-4ca7-83bd-d732d61c2173 · outbound

This paper cites Proving security of parallel device independent QKD using approximate entropy accumulation.

Universal chain rules from entropic triangle inequalities Proving security of parallel device independent QKD using approximate entropy accumulation

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:30:51.580770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c4090546-04e5-4cb5-93fc-30aabdefde65 · outbound

This paper cites Proving security of BB84 under source correlations.

Universal chain rules from entropic triangle inequalities Proving security of BB84 under source correlations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.469574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20053d15-5346-4d4c-ac50-2d717b522e14 · outbound

This paper cites Generalised entropy accumulation.

Universal chain rules from entropic triangle inequalities Generalised entropy accumulation

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:30:50.684122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e31b5e64-351d-4b31-ac31-4bd8c4745385 · outbound

This paper cites A variational expression for the relative entropy.

Universal chain rules from entropic triangle inequalities A variational expression for the relative entropy

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.479393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96acf7c2-a731-4dbf-ae42-6b3ef15b7539 · outbound

This paper cites Security of Quantum Key Distribution.

Universal chain rules from entropic triangle inequalities Security of Quantum Key Distribution

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.485807Z

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Unavailable: canonical work link unavailable.

Observation 2a0f8ee1-2e13-4d94-8f1e-901d31bc9d37 · outbound

This paper cites Universally composable privacy amplification against quantum adversaries.

Universal chain rules from entropic triangle inequalities Universally composable privacy amplification against quantum adversaries

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.490913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51fae792-1e28-47ed-af9b-e2d7cfbf4e4a · outbound

This paper cites Multivariate trace inequalities.

Universal chain rules from entropic triangle inequalities Multivariate trace inequalities

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:30:51.540356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3344f0eb-3ce8-4033-87e6-3279d9b45bb7 · outbound

This paper cites Quantum coding.

Universal chain rules from entropic triangle inequalities Quantum coding

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.502397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 447e75d7-96cc-46bf-b942-3439b4f60a4b · outbound

This paper cites Quantum Information Processing with Finite Resources.

Universal chain rules from entropic triangle inequalities Quantum Information Processing with Finite Resources

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.508207Z

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Observation 7a9f8c75-f243-4959-8ebe-cddbf788afb7 · outbound

This paper cites Leftover hashing against quantum side information.

Universal chain rules from entropic triangle inequalities Leftover hashing against quantum side information

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.517020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 713aa7a0-1154-4e2a-b010-ff201f455ebb · outbound

This paper cites Chain rules for smooth min- and max-entropies.

Universal chain rules from entropic triangle inequalities Chain rules for smooth min- and max-entropies

Reference 29

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T19:30:50.931610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1c98370a-2f99-4cc0-bacd-de6e9e9bfb44 · outbound

This paper cites The Theory of Quantum Information.

Universal chain rules from entropic triangle inequalities The Theory of Quantum Information

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.529357Z

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Observation c07f4ee3-35e4-4a28-a28a-e3f568e59316 · outbound

This paper cites an unresolved cited work.

Universal chain rules from entropic triangle inequalities Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.535999Z

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Observation f07b73ec-fc89-4ac5-a209-bb47c527e9cd · outbound

This paper cites Tight uniform continuity bounds for quantum entropies: Conditional entropy, relative entropy distance and energy constraints.

Universal chain rules from entropic triangle inequalities Tight uniform continuity bounds for quantum entropies: Conditional entropy, relative entropy distance and energy constraints

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T19:30:50.541977Z

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Pith citing papers

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