Paper Citation Record · LEDGER

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks

As of 10 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2502.00807.

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

pith.paper-citation-record.v1
2502.00807 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T17:46:05.481172Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

22 of 22 outbound references displayed

verified exact12
verified fuzzy0
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 830738a2-4b27-4b38-b262-9b5a6a7452f1 · outbound

This paper cites Disjunctive programming.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Disjunctive programming

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-09T17:46:05.413733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c2b1347-c35d-46b4-93ac-4785674436b7 · outbound

This paper cites Beard, Eric Babson, Edward Curtis, and Hong Qian.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Beard, Eric Babson, Edward Curtis, and Hong Qian

Reference 2

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.620961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 01372895-3eb8-4e2b-a990-07d80b332e97 · outbound

This paper cites u bbecke, Stephen J. Maher, Frederic Matter, Erik M\.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks u bbecke, Stephen J. Maher, Frederic Matter, Erik M\

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-09T17:46:05.420750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aad24af3-7fac-4270-b3ed-df80f773be78 · outbound

This paper cites The SCIP Optimization Suite 9.0.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks The SCIP Optimization Suite 9.0

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-09T17:46:05.423868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31383ff0-a834-4dea-aa92-358445f64263 · outbound

This paper cites Combinatorial Benders' Cuts for Mixed-Integer Linear Programming.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Combinatorial Benders' Cuts for Mixed-Integer Linear Programming

Reference 5

Resolution: verified exact; raw_fallback, observed 2026-08-09T17:46:05.796361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 97ccbb09-4c8a-42d1-b4ca-7653c008e597 · outbound

This paper cites an unresolved cited work.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.612069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1105d262-089c-414f-b543-d6b71f235632 · outbound

This paper cites Henry, Linda J.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Henry, Linda J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-09T17:46:05.435093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d844d5fa-5a4f-4a9e-a08a-5e90cbdb1dec · outbound

This paper cites Huangfu and J.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Huangfu and J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-09T17:46:05.438054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c40f3bb-47b0-4e8e-8000-2adde3724f40 · outbound

This paper cites King, Justin Lu, Andreas Dräger, Philip Miller, Stephen Federowicz, Joshua A.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks King, Justin Lu, Andreas Dräger, Philip Miller, Stephen Federowicz, Joshua A

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-09T17:46:05.441072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8f271c9-a3f9-4aec-838c-3462dbe0814d · outbound

This paper cites COBREXA.jl: constraint-based reconstruction and exascale analysis.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks COBREXA.jl: constraint-based reconstruction and exascale analysis

Reference 10

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.587577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8b04132d-fcb2-44b5-b3db-9a2a2160b01a · outbound

This paper cites MathOptInterface : a data structure for mathematical optimization problems.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks MathOptInterface : a data structure for mathematical optimization problems

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-09T17:46:05.706354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a1d304b7-e1b7-4394-9cff-9445825f592d · outbound

This paper cites Lewis, Kim K.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Lewis, Kim K

Reference 12

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.578790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ae75dfd6-d287-4fd9-ae1b-a56b9ef84110 · outbound

This paper cites Yeast metabolic innovations emerged via expanded metabolic network and gene positive selection.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Yeast metabolic innovations emerged via expanded metabolic network and gene positive selection

Reference 13

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.570112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d5b9b8d-e531-4027-b371-99e5a2475771 · outbound

This paper cites JuMP 1.0: Recent Improvements to a Modeling Language for Mathematical Optimization.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks JuMP 1.0: Recent Improvements to a Modeling Language for Mathematical Optimization

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-09T17:46:05.455865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 281776bd-f3a9-4b21-8df7-a029e582f7d4 · outbound

This paper cites Lewis, and Ron Milo.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Lewis, and Ron Milo

Reference 15

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.555562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d4324b8-a158-4bf7-9cbc-28a7951ceb99 · outbound

This paper cites Orth, Ines Thiele, and Bernhard Ø.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Orth, Ines Thiele, and Bernhard Ø

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-09T17:46:05.461588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5366e384-0e9c-4544-809a-0a623ed091e1 · outbound

This paper cites an unresolved cited work.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.541186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ca986de3-9b4e-48a4-a36d-e07ed9152e99 · outbound

This paper cites An Introduction to Computational Systems Biology: Systems-Level Modelling of Cellular Networks.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks An Introduction to Computational Systems Biology: Systems-Level Modelling of Cellular Networks

Reference 18

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.532614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c0b61e31-afaf-4c0b-a2b5-4b3cb08597f5 · outbound

This paper cites an unresolved cited work.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-09T17:46:05.813567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c6f3aa27-c100-4c96-8c46-7dcf8ac00d2f · outbound

This paper cites Improving the phenotype predictions of a yeast genome‐scale metabolic model by incorporating enzymatic constraints.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Improving the phenotype predictions of a yeast genome‐scale metabolic model by incorporating enzymatic constraints

Reference 20

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.523633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 14ffa61c-b9a6-4f73-b46e-8ce3817f73ab · outbound

This paper cites Lewis, and Bernhard Ø.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Lewis, and Bernhard Ø

Reference 21

Resolution: verified exact; doi, observed 2026-08-09T17:46:05.513555Z

Source-reported events for the cited work

correction dated 2011-03-07. Source: crossref record 10.1016/j.bpj.2011.02.005->10.1016/j.bpj.2010.12.3707:correction, observed 2026-07-11T03:18:09.664641+00:00. This notice travels one citation hop only.

Observation 9c44ce1f-b5cd-4821-a29e-7cadaf2c1dcd · outbound

This paper cites Gunderson, Eduard M.

Mixed-Integer Optimization for Loopless Flux Distributions in Metabolic Networks Gunderson, Eduard M

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-09T17:46:05.481172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.