Paper Citation Record · LEDGER

Vector fields as a framework for modelling the mobility of commodities

As of 7 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2506.02047.

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

pith.paper-citation-record.v1
2506.02047 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:02:04.527839Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

37 of 37 outbound references displayed

verified exact0
verified fuzzy31
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e7dd0a06-3faf-4287-8165-32263cbad2e8 · outbound

This paper cites Human mobility: Models and applications.

Vector fields as a framework for modelling the mobility of commodities Human mobility: Models and applications

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:05.013719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 706ab0b5-990a-471c-a9d6-8b15e94d3c73 · outbound

This paper cites Mobility network models of COVID-19 explain inequities and inform reopening.

Vector fields as a framework for modelling the mobility of commodities Mobility network models of COVID-19 explain inequities and inform reopening

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:05.003680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0053ebc8-bea0-4705-8829-074d049c4bae · outbound

This paper cites Cities and countries in the global scientist mobility network.

Vector fields as a framework for modelling the mobility of commodities Cities and countries in the global scientist mobility network

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.993287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b2580b40-ef94-41ff-94e4-d88a62d39720 · outbound

This paper cites Urban Human Mobility: Data-Driven Modeling and Prediction.

Vector fields as a framework for modelling the mobility of commodities Urban Human Mobility: Data-Driven Modeling and Prediction

Reference 4

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T12:02:04.625685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b8c02bce-4af7-4974-97d2-31415f53973f · outbound

This paper cites Modeling communicable diseases, human mobility, and epidemics: A review.

Vector fields as a framework for modelling the mobility of commodities Modeling communicable diseases, human mobility, and epidemics: A review

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.982246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ee426a8e-c5bb-438f-963e-2a6aebf7f450 · outbound

This paper cites Optimizing surveillance for livestock disease spreading through animal movements.

Vector fields as a framework for modelling the mobility of commodities Optimizing surveillance for livestock disease spreading through animal movements

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.971083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bc19784e-f6fe-4542-9883-0cee4a913038 · outbound

This paper cites Disease spread through animal movements: a static and temporal network analysis of pig trade in Germany.

Vector fields as a framework for modelling the mobility of commodities Disease spread through animal movements: a static and temporal network analysis of pig trade in Germany

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.959570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3e1421a6-dae7-4957-8538-8f13f6592948 · outbound

This paper cites A Data-Driven Approach to Cattle Epidemic Modelling Under Uncertainty.

Vector fields as a framework for modelling the mobility of commodities A Data-Driven Approach to Cattle Epidemic Modelling Under Uncertainty

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.948724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d0fda7f1-4061-4bb7-b773-548d754a7404 · outbound

This paper cites Trajectory data mining: An overview.

Vector fields as a framework for modelling the mobility of commodities Trajectory data mining: An overview

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.937610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1153cfab-37b0-4eca-8f55-743bb71f880f · outbound

This paper cites Understanding individual human mobility patterns.

Vector fields as a framework for modelling the mobility of commodities Understanding individual human mobility patterns

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.926455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 29aad277-d721-4f37-8bf4-edf548da3b70 · outbound

This paper cites Human mobility, social ties, and link prediction.

Vector fields as a framework for modelling the mobility of commodities Human mobility, social ties, and link prediction

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.915716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cb15e0d5-7c18-4832-b431-4a0798914e79 · outbound

This paper cites A survey of results on mobile phone datasets analysis.

Vector fields as a framework for modelling the mobility of commodities A survey of results on mobile phone datasets analysis

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T12:02:02.479618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8665e31e-1f5d-4529-9341-d4c9cac35746 · outbound

This paper cites Evaluating origin– destination matrices obtained from CDR data.

Vector fields as a framework for modelling the mobility of commodities Evaluating origin– destination matrices obtained from CDR data

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.897440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 32346573-0ca0-46b6-a3ac-5f9cfcfc87cd · outbound

This paper cites Patterns of ocean current variability on the West Florida Shelf using the self-organizing map.

Vector fields as a framework for modelling the mobility of commodities Patterns of ocean current variability on the West Florida Shelf using the self-organizing map

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.886724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a55ff330-c977-4c6d-bb2d-d8389a69bb14 · outbound

This paper cites Glyphs for visualizing uncertainty in vector fields.

Vector fields as a framework for modelling the mobility of commodities Glyphs for visualizing uncertainty in vector fields

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.874168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d7e7d1bf-2fc5-4964-945f-407be02ac532 · outbound

This paper cites Visual analytics of movement: An overview of methods, tools and procedures.

Vector fields as a framework for modelling the mobility of commodities Visual analytics of movement: An overview of methods, tools and procedures

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.863611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e7386877-4634-4595-b904-94298b8b219f · outbound

This paper cites Livestock infectious diseases and zoonoses; 2009.

Vector fields as a framework for modelling the mobility of commodities Livestock infectious diseases and zoonoses; 2009

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.852399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 19cee099-1b42-4eef-a1dd-fa7b9de1cec7 · outbound

This paper cites Potential for transmission of infections in networks of cattle farms.

Vector fields as a framework for modelling the mobility of commodities Potential for transmission of infections in networks of cattle farms

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.841372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 58503867-86cc-45a1-86aa-b6fc5b2a9553 · outbound

This paper cites The foot-and-mouth epidemic in Great Britain: pattern of spread and impact of interventions.

Vector fields as a framework for modelling the mobility of commodities The foot-and-mouth epidemic in Great Britain: pattern of spread and impact of interventions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.829715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dae1a778-f6c3-4a2e-ac13-332eddb4c54e · outbound

This paper cites A mathematical theory of communication.

Vector fields as a framework for modelling the mobility of commodities A mathematical theory of communication

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T12:02:03.387476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec5bc9ae-4ec5-404d-8961-c8bfa5dadd98 · outbound

This paper cites Being critical of criticality in the brain.

Vector fields as a framework for modelling the mobility of commodities Being critical of criticality in the brain

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.811451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2386d028-bc22-4f68-bbe2-6282da37b05b · outbound

This paper cites Vector field interpolation with radial basis functions.

Vector fields as a framework for modelling the mobility of commodities Vector field interpolation with radial basis functions

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.801528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e430dc06-4a32-460b-8fd3-1f12e530695e · outbound

This paper cites Triangle based interpolation.

Vector fields as a framework for modelling the mobility of commodities Triangle based interpolation

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.790871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 74e512a3-08fc-4252-ab8a-044fbabb539d · outbound

This paper cites A refinement of inverse distance weighted interpolation.

Vector fields as a framework for modelling the mobility of commodities A refinement of inverse distance weighted interpolation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.780320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 64a25706-bd52-43a3-85fb-b40915ec6445 · outbound

This paper cites Using Vector Fields in the Mod- elling of Movements as Flows.

Vector fields as a framework for modelling the mobility of commodities Using Vector Fields in the Mod- elling of Movements as Flows

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.769546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 08137b6e-2eb5-4334-ae0a-5ee3aa13d89c · outbound

This paper cites Brazilian beef production.

Vector fields as a framework for modelling the mobility of commodities Brazilian beef production

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.759107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 473ed0ba-46f8-4fba-a1a0-aefde0ccfdca · outbound

This paper cites Regional expansion of the beef industry in Brazil: from the coast to the Amazon, 1966–2017.

Vector fields as a framework for modelling the mobility of commodities Regional expansion of the beef industry in Brazil: from the coast to the Amazon, 1966–2017

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.748297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1ff6c974-f751-4796-b490-c2999a379dae · outbound

This paper cites Introduction to nonextensive statistical mechanics: approaching a complex world.

Vector fields as a framework for modelling the mobility of commodities Introduction to nonextensive statistical mechanics: approaching a complex world

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.736960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d12133d4-d452-467e-b8c4-b98ad3079b19 · outbound

This paper cites Geographic data science with python.

Vector fields as a framework for modelling the mobility of commodities Geographic data science with python

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.724972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2cbf4f8d-2ddf-4f2b-b103-9690c66e59f1 · outbound

This paper cites workshop-python-spatial-stats; 2021.

Vector fields as a framework for modelling the mobility of commodities workshop-python-spatial-stats; 2021

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.714914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aa97860a-b66a-4a65-84a9-622b0de4fa18 · outbound

This paper cites Local indicators of spatial association—LISA.

Vector fields as a framework for modelling the mobility of commodities Local indicators of spatial association—LISA

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.703885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e7f078e0-eb53-46d3-9dd8-8f96e27807b3 · outbound

This paper cites Spatial analysis for the social sciences.

Vector fields as a framework for modelling the mobility of commodities Spatial analysis for the social sciences

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.692737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f9899b2f-fec9-4da2-af63-fc534ef37e81 · outbound

This paper cites Spatial analysis: a reader in statistical geography.

Vector fields as a framework for modelling the mobility of commodities Spatial analysis: a reader in statistical geography

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.682166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 24cf2d03-aaf4-4907-9e82-69849f1b0aad · outbound

This paper cites an unresolved cited work.

Vector fields as a framework for modelling the mobility of commodities Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:04.670808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e172542-0f99-432b-9a1d-f0a5d7a24160 · outbound

This paper cites an unresolved cited work.

Vector fields as a framework for modelling the mobility of commodities Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:04.660111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e1657e02-e2cf-4b6e-b156-99091e1c1513 · outbound

This paper cites June 4, 2025 17/19.

Vector fields as a framework for modelling the mobility of commodities June 4, 2025 17/19

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:02:04.649151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7d055aca-3492-46d0-a111-7d81ae38404a · outbound

This paper cites an unresolved cited work.

Vector fields as a framework for modelling the mobility of commodities Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:02:04.638306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.