Pith. sign in

Paper Citation Record · LEDGER

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

As of 22 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 2026-08-22T06:32:14.747728+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.

source=pdf_text observed=2026-08-06T19:40:00.555877Z digest=sha256:9903e0d1ae9882e7698105769ecddf78b9b16827e1f9145a406953cf33786f27

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.

source=pdf_text observed=2026-08-06T19:40:00.630839Z digest=sha256:4679dd360c4c347b988484d224304f5c2b28ef3a0eea2835c75fa23fff42c131

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:00.701364Z digest=sha256:b7f770da0dff075554c8f72db67872c2314b298e8098f7ca802b84d481234ee9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:00.765917Z digest=sha256:16d2afc3503c080f7aa2524c6e56fc9d84bc44f4084f982db53ce4312de2e7de

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:00.803082Z digest=sha256:415375900aa2bfe6fabd1425c9eab8e245209464d975750f9108723d3135ae05

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.

source=pdf_text observed=2026-08-06T19:40:00.839869Z digest=sha256:614816d45c7002b9cda3b7e2a474d8ecc08e2764a2657a498089cdfa27afb3f2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:00.885358Z digest=sha256:84e2f80daf61a069011fd8b45b1514f2a79cfb3909464d9fae0d2652a872e4b4

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.

source=pdf_text observed=2026-08-06T19:40:00.924332Z digest=sha256:e721efbf3a0204a0e4960a25f573d418cb6a6110c758c38e1f89caf3bb521e28

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:00.960575Z digest=sha256:408649ffc2a6e71727ee755b58c0ce426727932d609cd042dd4dd6885b62b043

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.006227Z digest=sha256:fc0792b6d3dea7f4121b6cd7ccdd56d562995d06ebdd160a418fee6f9b8ae6af

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.065720Z digest=sha256:761ae50817d55d1247e1b8e8c934b18fe150ba27cba553a3110d011bcf3ea8cd

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.185454Z digest=sha256:b086fd135328ecdb723cbe620bf49fd4780d0b9dc05506dd6080f48a04b1d8d7

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.

source=pdf_text observed=2026-08-06T19:40:01.267784Z digest=sha256:ccb8020a93f31e0d53a6e5632aee5d77c485ed7ed2c16fba0e7415af2e065dd4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.327052Z digest=sha256:89f723443f4ad3dc9f699f68539526fffabbd6868932d654fd04fc04e1095570

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.404959Z digest=sha256:2b2b1a91e5a507a07ca24098fd6ba6776f41a5aa6b29be77d59b7d16d8024a46

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.459464Z digest=sha256:c726e106fe2c70d249e4dbf64a84b52f1e7b039b43a3e6e4ac249adf65e07268

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.

source=pdf_text observed=2026-08-06T19:40:01.523648Z digest=sha256:7ea3e08eeafb8e25793f03b4ec7a8e67eeb6238895d8b23c62feb9c4a59a452a

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.

source=pdf_text observed=2026-08-06T19:40:01.590476Z digest=sha256:d6d6be9d89e54b90d125d4cb7becbe1d780cfad33f89e1a8c66fce581e4c4ced

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.681405Z digest=sha256:6cc77948c0d7578538af8506f05c84931fe794d9a0230d2d82234d463c7ba868

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.753449Z digest=sha256:d8df416745658b84f7c913808732c8db1a88c41eb271e56d938744732e4a2727

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.805987Z digest=sha256:9e46f9590439372d301fd69bc46dd62e5b7b540e2eccdd6c2d56599b5f9735ce

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.868079Z digest=sha256:6fc8e9aa949e25b938ac04ed2cf71a4319100be20cb1ccb0b9e02f75ee8846e8

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:01.941742Z digest=sha256:4b96dcfb7fba8e48ba79db80ff9fc3f9c431bf922a1abd41706f30c800109888

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:40:02.023976Z digest=sha256:a8e8d46cc91698378222b69674b0d07f764057b51a18b2d2e536db8cb8033ae2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-08T18:19:05.749028Z digest=sha256:fa2f8f584a52e8836a617ac2009b5f0bea1f35fa51be010a60e6a03004cc372a