Paper Citation Record · LEDGER

An order-theoretic circuit syntax and characterisation of the concept lattice

As of 9 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2507.05428.

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

pith.paper-citation-record.v1
2507.05428 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:40:02.023976Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T18:19:05.749028Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T10:41:31.876891Z

Reference resolution

24 of 24 outbound references displayed

verified exact2
verified fuzzy14
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f5e6804-0a1a-4645-9981-97c97d6deeda · outbound

This paper cites The Inflation Technique for Causal Inference with Latent Variables.

An order-theoretic circuit syntax and characterisation of the concept lattice The Inflation Technique for Causal Inference with Latent Variables

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T19:40:00.555877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72498cce-88df-480b-be68-5ae47a14e2dd · outbound

This paper cites Causal Inference by String Diagram Surgery.

An order-theoretic circuit syntax and characterisation of the concept lattice Causal Inference by String Diagram Surgery

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T19:40:00.630839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2450e858-a349-4923-ac67-85dcca375e2c · outbound

This paper cites Lattice Theory.

An order-theoretic circuit syntax and characterisation of the concept lattice Lattice Theory

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:04.815695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 66d24af4-5d1e-4aa7-a62a-6c56125b4d4c · outbound

This paper cites Restructuring Lattice Theory: An Approach Based on Hierarchies of Con- cepts.

An order-theoretic circuit syntax and characterisation of the concept lattice Restructuring Lattice Theory: An Approach Based on Hierarchies of Con- cepts

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:04.603346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 99f82271-9f2c-4eb0-ab8a-ed5b6e8e0139 · outbound

This paper cites Formal Concept Analysis: Mathematical Foundations.

An order-theoretic circuit syntax and characterisation of the concept lattice Formal Concept Analysis: Mathematical Foundations

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:04.446098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cbfc83ee-beb4-4b43-8ab4-67c707a5ca69 · outbound

This paper cites Causal and compositional structure of unitary transformations.

An order-theoretic circuit syntax and characterisation of the concept lattice Causal and compositional structure of unitary transformations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T19:40:00.839869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 800328ee-3c60-4e8e-9b2e-31e1675f33ad · outbound

This paper cites Unitary causal decompositions: a combinatorial characterisation via lattice theory.

An order-theoretic circuit syntax and characterisation of the concept lattice Unitary causal decompositions: a combinatorial characterisation via lattice theory

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:04.281143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b625b6d0-5d8d-441c-a8f9-342fafa3c487 · outbound

This paper cites Causal Decompositions of 1D Quantum Cellular Automata.

An order-theoretic circuit syntax and characterisation of the concept lattice Causal Decompositions of 1D Quantum Cellular Automata

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T19:40:00.924332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ddc6da2-b0a3-4e68-a200-873d5aa2d8ba · outbound

This paper cites Verb¨ ande von Kernen Isotoner Abbildungen.

An order-theoretic circuit syntax and characterisation of the concept lattice Verb¨ ande von Kernen Isotoner Abbildungen

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:04.143020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5ab0470d-3eb3-4fde-84f6-59360953d015 · outbound

This paper cites Einige Charakterisationen von Ketten.

An order-theoretic circuit syntax and characterisation of the concept lattice Einige Charakterisationen von Ketten

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:03.992434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 213530c2-5bfb-40fa-93f5-6edfb874ed92 · outbound

This paper cites On the Lattices of Kernels of Isotonic Mappings. II.

An order-theoretic circuit syntax and characterisation of the concept lattice On the Lattices of Kernels of Isotonic Mappings. II

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:03.792224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 89dccd1d-5bbf-4607-b133-7f033b70ab92 · outbound

This paper cites Congruences and Isotone Maps on Partially Ordered Sets.

An order-theoretic circuit syntax and characterisation of the concept lattice Congruences and Isotone Maps on Partially Ordered Sets

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:03.578137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0e2e898b-45ea-495e-af7a-c7f88c3c4526 · outbound

This paper cites A survey of congruences and quotients of partially ordered sets.

An order-theoretic circuit syntax and characterisation of the concept lattice A survey of congruences and quotients of partially ordered sets

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T19:40:01.267784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e5c0ce3-bedc-4fa2-93bd-136b4f465d2b · outbound

This paper cites String Diagram Rewrite Theory II: Rewriting with Symmetric Monoidal Structure.

An order-theoretic circuit syntax and characterisation of the concept lattice String Diagram Rewrite Theory II: Rewriting with Symmetric Monoidal Structure

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:03.402089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0d4ecd74-1a0d-428f-ba4d-3922234192aa · outbound

This paper cites Graphs for margins of Bayesian networks.

An order-theoretic circuit syntax and characterisation of the concept lattice Graphs for margins of Bayesian networks

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:40:02.304269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d1644118-f4c2-418b-8ad5-63c7ef867907 · outbound

This paper cites Isolation and Information Flow in Quantum Dynamics.

An order-theoretic circuit syntax and characterisation of the concept lattice Isolation and Information Flow in Quantum Dynamics

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:03.202981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5000bf2d-5d1b-49c9-a050-6fc1c5ba9f4c · outbound

This paper cites Position-Based Quantum Cryptography: Impossibility and Constructions.

An order-theoretic circuit syntax and characterisation of the concept lattice Position-Based Quantum Cryptography: Impossibility and Constructions

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T19:40:01.523648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68217953-05bf-4215-9eb5-5bbd4ad926a9 · outbound

This paper cites Quantum tasks in holography.

An order-theoretic circuit syntax and characterisation of the concept lattice Quantum tasks in holography

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T19:40:01.590476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 716e68c9-dfc2-4d1d-b388-bfea0dd8dd8b · outbound

This paper cites Two Poset Polytopes.

An order-theoretic circuit syntax and characterisation of the concept lattice Two Poset Polytopes

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:03.032764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c6e261fc-860b-403f-8076-3e70ee6a4351 · outbound

This paper cites an unresolved cited work.

An order-theoretic circuit syntax and characterisation of the concept lattice Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:40:02.934822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dea9ab4f-ecf1-4e0b-824a-517f42443a30 · outbound

This paper cites Relativistic constraints on quantum channels.

An order-theoretic circuit syntax and characterisation of the concept lattice Relativistic constraints on quantum channels

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:02.784403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1d341ec2-0df5-4880-b9ce-55c5d215ccf5 · outbound

This paper cites Galois Connexions.

An order-theoretic circuit syntax and characterisation of the concept lattice Galois Connexions

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:02.639559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3be3b11d-a34e-4c2a-a584-a805c8267e4b · outbound

This paper cites Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning.

An order-theoretic circuit syntax and characterisation of the concept lattice Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:40:02.506042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1ad599d6-2067-410f-be62-fe3b03b83936 · outbound

This paper cites Equivalence of relativistic causal structure and process terminality.

An order-theoretic circuit syntax and characterisation of the concept lattice Equivalence of relativistic causal structure and process terminality

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:40:02.138209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation 814a4f11-b208-4a9e-a17a-c56120d8c002 · inbound

A missing causal principle: Coordination cites this paper.

A missing causal principle: Coordination An order-theoretic circuit syntax and characterisation of the concept lattice

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-05-12T10:41:31.879089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.