Pith. sign in

Paper Citation Record · LEDGER

Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis

As of 16 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 2 inbound Pith citation observations for arXiv:2501.12519.

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

pith.paper-citation-record.v1
2501.12519 v2

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:15:06.348770Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:41:49.909740Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T04:26:39.478194Z

Reference resolution

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0cb9553-092a-4770-b25e-d4e28d8c6a66 · outbound

This paper cites Kacser and J.

Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis Kacser and J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:15:06.537304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:15:06.328510Z digest=sha256:108e218b167aa4baed6c570ca8c11be73d2139e0143d8c370b60d87862c3a73c

Observation 5ad305da-84d3-4cc6-bdc8-d1959c89bd79 · outbound

This paper cites Heinrich and T.

Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis Heinrich and T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:15:06.527638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:15:06.332971Z digest=sha256:3f6792838cdc737d4e992fbcd5c64f01ce988bf67331dec5eca300bf3654c9ad

Observation f093b642-a684-4bf4-9075-ea6240968b66 · outbound

This paper cites Sauro, Introduction to Metabolic Control Analysis.

Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis Sauro, Introduction to Metabolic Control Analysis

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:15:06.518101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:15:06.337457Z digest=sha256:da5746253ca503ca4b9b160b45812e201289efb1c3f376487dd4c44674a1bd80

Observation bbd84fbb-6695-44cf-8009-ec25f622d47d · outbound

This paper cites Chapman & Hall, New York, 1996.

Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis Chapman & Hall, New York, 1996

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:15:06.508694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:15:06.341229Z digest=sha256:52c546a2814a85e2d37771c47643180e06902067f39cd491a0866cd72a40f729

Observation 18d7cef4-f8f0-4edc-a4d6-2063f907f57a · outbound

This paper cites Deimling, Nonlinear Functional Analysis, Springer-Verlag, New Y ork, 1985.

Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis Deimling, Nonlinear Functional Analysis, Springer-Verlag, New Y ork, 1985

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:15:06.499152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:15:06.344761Z digest=sha256:a494b9962ca6432de11108d19d8b9654b2a2917eb9b92d0e0fc9bfc9d6e5e9ff

Observation 001dd47d-3809-4db6-a7b4-a452013b884c · outbound

This paper cites an unresolved cited work.

Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:15:06.487893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:15:06.348770Z digest=sha256:3fd651b98b1bb6fb6657c6927af7000e485d03415fc9b5332ad477e0786c6cb7

Pith citing papers

Observation 04cfd053-faf0-42d6-ba24-ef5e530d65a9 · inbound

A Universal Control Budget for First-Passage Kinetics cites this paper.

A Universal Control Budget for First-Passage Kinetics Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:26:39.483845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T04:26:39.418596Z digest=sha256:0816f4773b316e64c8d3088fc17bdfab0c41ccb1b834c0536061114f6f311881

Observation 46eb105d-bfb8-49ff-85b0-5b7272815cf5 · inbound

A Universal Control Budget for First-Passage Kinetics cites this paper.

A Universal Control Budget for First-Passage Kinetics Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T14:41:49.909740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:41:49.909740Z digest=sha256:bb04881e1d778096a61c14fa46843dc3c6a07d331b4683f76297c02773c64677