Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-22T00:11:28.864683Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2507.01985.
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 2026-05-22T00:11:28.864683Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
20 of 20 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9cab86fb-92aa-45b7-ad86-629697115f5a · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Equilibrium existence in the linear model of spatial competition
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation db59cd69-fb17-4bb8-bd14-6e3eb1527405 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Spatial competition with price-taking firms
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 346900c5-26a4-4def-8d17-9937fafa39b4 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation A geometric approach to weakly identified econometric mod- els
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ca926dec-a9f3-4f5b-8263-0807312e1616 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation GENERALISING HOTELLING’S LAW: Economic and Philosophical Findings from Agent-Based Modelling
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e71dfe07-271d-4d28-b949-41ee9e203fec · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Demand functions and demand manifolds
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 34c96b07-ce4b-4877-9b98-b5e30786d6a5 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Models of spatial competition: A critical review
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7e605ffa-dff4-4fb9-811b-b5cbbc2395ef · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Hotelling’s Minimum Differentiation Principle in a Continuous-Time Experiment with Price and Location Choices
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 17676d23-66ed-4814-9471-f3c95bf9996f · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Hotelling games with three, four, and more players
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 52889822-7b8d-4b0a-bcad-9198e3799499 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Aggregation and market demand: an exterior differen- tial calculus viewpoint
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation fbc70405-3dca-406a-9a92-9d96745d782d · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation On Hotelling’s Stability in com- petition
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 22f7c676-1252-4b4f-9e86-27da3ea095c9 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation The principle of minimum differentiation reconsidered: Some new developments in the theory of spatial competition
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 61ec84d2-6d57-428d-9008-746de0a56e43 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Where to locate in a circular city?
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 62e7a3d3-cb4e-470e-aaa1-e7c98d46c289 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Survival at the center—the stability of minimum dif- ferentiation
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b3e3c210-eba0-4187-b12d-17ae3bd838b2 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Stability in Competition
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c3c0038d-a737-4404-9164-c07e3c80dc21 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Competition in multi-characteristics spaces: Hotelling was almost right
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 79130357-663e-43e9-9ce4-2aa9d5cac057 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation SPATIAL COMPETITION IN A TWO DIMENSIONAL MARKET
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6e61065b-2554-4826-886f-f4c34a5a2441 · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 26ac4d38-4715-4393-9b31-9ae71d06560e · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Differentiation in a Two-Dimensional Market with Endogenous Sequential Entry
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a5ae4f7e-c602-40ba-876c-d7a2b9f71ecb · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Monopolistic competition with outside goods
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8d4d225e-ea0d-414d-93f8-42a45206a1fc · outbound
From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation Spatial duopoly with triangular markets
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
No inbound Pith citation observations are available.