Paper Citation Record · LEDGER

Discrete Fa\`a di Bruno via M\"obius Inversion

As of 22 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.07742.

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

pith.paper-citation-record.v1
2607.07742 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T19:57:47.539764Z

measured 18 of 18 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 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

18 of 18 outbound references displayed

verified exact6
verified fuzzy9
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 45c0e75d-839c-4d25-8efe-3b20031c7852 · outbound

This paper cites Differential calculus over general base fields and rings.

Discrete Fa\`a di Bruno via M\"obius Inversion Differential calculus over general base fields and rings

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T20:07:33.981176Z

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.

Observation 14a2ddb8-f952-445f-b94e-34c94c83e998 · outbound

This paper cites Directional derivatives and higher order chain rules for abelian functor calculus.

Discrete Fa\`a di Bruno via M\"obius Inversion Directional derivatives and higher order chain rules for abelian functor calculus

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T20:07:33.975785Z

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.

Observation 2e758e29-7018-4e1a-88a5-5ce24d7a1316 · outbound

This paper cites Constantine and Thomas H.

Discrete Fa\`a di Bruno via M\"obius Inversion Constantine and Thomas H

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T20:07:33.974017Z

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.

Observation 21c55732-d4d6-473e-9b00-af8f5c36b66a · outbound

This paper cites Duarte and M.

Discrete Fa\`a di Bruno via M\"obius Inversion Duarte and M

Reference 4

Resolution: verified exact; doi, observed 2026-07-10T20:07:33.367648Z

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.

Observation 30d60e0f-145e-4dee-a24c-8e59c97381b2 · outbound

This paper cites On the groups H( ,n) , II : Methods of computation.

Discrete Fa\`a di Bruno via M\"obius Inversion On the groups H( ,n) , II : Methods of computation

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T20:07:33.982938Z

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.

Observation 9cf052b2-711a-46b0-9945-bd91027b1547 · outbound

This paper cites Floater and Tom Lyche.

Discrete Fa\`a di Bruno via M\"obius Inversion Floater and Tom Lyche

Reference 6

Resolution: verified exact; doi, observed 2026-07-10T20:07:33.361976Z

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.

Observation 74f8a1e3-e83b-47b6-b464-ec44983489e9 · outbound

This paper cites Five interpretations of Fa\`a di Bruno's formula.

Discrete Fa\`a di Bruno via M\"obius Inversion Five interpretations of Fa\`a di Bruno's formula

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-10T20:07:33.560406Z

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.

Observation c1c9fd50-b4f1-46d1-8aec-a1801d49a139 · outbound

This paper cites Combinatorics of partial derivatives.

Discrete Fa\`a di Bruno via M\"obius Inversion Combinatorics of partial derivatives

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T20:07:33.977510Z

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.

Observation a1b99edd-0977-4388-aec0-13ebeb2772a9 · outbound

This paper cites Fa\`a di Bruno is Taylor Composition.

Discrete Fa\`a di Bruno via M\"obius Inversion Fa\`a di Bruno is Taylor Composition

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-10T20:07:33.563101Z

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.

Observation 54df3760-5ff7-4520-9321-660b1a2922ee · outbound

This paper cites an unresolved cited work.

Discrete Fa\`a di Bruno via M\"obius Inversion Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-10T20:07:33.979295Z

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.

Observation 14ef95f6-8e3e-42a1-861c-8f9d0b95c85f · outbound

This paper cites 1993 , ISBN =.

Discrete Fa\`a di Bruno via M\"obius Inversion 1993 , ISBN =

Reference 11

Resolution: metadata mismatch; doi, observed 2026-07-10T20:07:33.372768Z

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.

Observation 4ba1a539-eaa5-4876-bb4a-573a78e492ce · outbound

This paper cites Polynomial mappings of groups.

Discrete Fa\`a di Bruno via M\"obius Inversion Polynomial mappings of groups

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T20:07:33.991996Z

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.

Observation 676cfea0-00ed-4696-a715-e4bda779fbac · outbound

This paper cites Why do partitions occur in Faa di Bruno's chain rule for higher derivatives?.

Discrete Fa\`a di Bruno via M\"obius Inversion Why do partitions occur in Faa di Bruno's chain rule for higher derivatives?

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-10T20:07:33.566027Z

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.

Observation d6bd3c59-36ab-49b1-be8b-e0c3d6e06bd9 · outbound

This paper cites Grundlegende Eigenschaften der polynomischen Operationen.

Discrete Fa\`a di Bruno via M\"obius Inversion Grundlegende Eigenschaften der polynomischen Operationen

Reference 14

Resolution: verified exact; doi, observed 2026-07-10T20:07:33.358856Z

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.

Observation 4b9f54c8-5794-4ba0-bfce-123fbfa3bc20 · outbound

This paper cites An extension of the Bell polynomials.

Discrete Fa\`a di Bruno via M\"obius Inversion An extension of the Bell polynomials

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T20:07:33.988310Z

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.

Observation 91792d12-2906-427d-85cc-7e2a99b98da6 · outbound

This paper cites an unresolved cited work.

Discrete Fa\`a di Bruno via M\"obius Inversion Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-10T20:07:33.990252Z

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.

Observation d3330533-fa82-42b7-b380-67da2285e795 · outbound

This paper cites On the divided difference form of Fa \`a di Bruno's formula.

Discrete Fa\`a di Bruno via M\"obius Inversion On the divided difference form of Fa \`a di Bruno's formula

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T20:07:33.984612Z

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.

Observation 97bd148f-6238-41ca-b0ef-e6300a001d3b · outbound

This paper cites Some extensions of Fa \`a di Bruno's formula with divided differences.

Discrete Fa\`a di Bruno via M\"obius Inversion Some extensions of Fa \`a di Bruno's formula with divided differences

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T20:07:33.986596Z

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.

Pith citing papers

No inbound Pith citation observations are available.