Paper Citation Record · LEDGER

Which graph motif parameters count?

As of 12 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2507.12244.

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

pith.paper-citation-record.v1
2507.12244 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:01:38.751249Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy5
unresolved6
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f3cacb3-ee29-487d-8ba8-03f8732a8a1b · outbound

This paper cites an unresolved cited work.

Which graph motif parameters count? Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:01:40.234381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ade8e00c-1972-453c-b96c-eda7d8e84efc · outbound

This paper cites These for example would allow us to express undirected self-loops in the graph setting.

Which graph motif parameters count? These for example would allow us to express undirected self-loops in the graph setting

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:40.061264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 710c8b0b-fe0e-4610-9150-fa3e2ee9b22c · outbound

This paper cites Directed graphs without self-loops fall under this category.

Which graph motif parameters count? Directed graphs without self-loops fall under this category

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:39.912797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 521d4a50-df2d-44fd-8ef9-3faedc857ce1 · outbound

This paper cites What is a combinatorial interpretation?.

Which graph motif parameters count? What is a combinatorial interpretation?

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:37.958447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1090be4d-0f5c-4629-bc95-9a7231872e77 · outbound

This paper cites Directed graphs with self-loops fall under this category.

Which graph motif parameters count? Directed graphs with self-loops fall under this category

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:39.800851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c9abd48a-35d4-4126-a368-e390cdc8f6f0 · outbound

This paper cites This factorization is unique, up to a unique isomorphism, i.e.

Which graph motif parameters count? This factorization is unique, up to a unique isomorphism, i.e

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:39.706466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b5f5e752-86a5-40fb-80c4-cbef527d98f7 · outbound

This paper cites A factorization system is called proper, if all morphisms inE are epi and all morphisms inM are mono.

Which graph motif parameters count? A factorization system is called proper, if all morphisms inE are epi and all morphisms inM are mono

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:39.613470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 969ac9f6-a599-4665-b96f-e16e594b6fd7 · outbound

This paper cites the”n-parameter setAn and “the.

Which graph motif parameters count? the”n-parameter setAn and “the

Reference 13

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T17:01:39.471368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8d1386cc-37f3-4fee-84c7-205f94f14766 · outbound

This paper cites 19 Mark Jerrum and Kitty Meeks.

Which graph motif parameters count? 19 Mark Jerrum and Kitty Meeks

Reference 1991

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:37.874424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17608b53-7d48-444e-b419-e55512b1122a · outbound

This paper cites 3 Richard Beigel.

Which graph motif parameters count? 3 Richard Beigel

Reference 1995

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T17:01:39.363297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2c57c265-0716-4b8b-8c0d-56c5d9b85f83 · outbound

This paper cites an unresolved cited work.

Which graph motif parameters count? Unresolved cited work

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:38.047247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdc2c91d-13af-4d01-832c-1d65ebbc25d6 · outbound

This paper cites 39 Marc Roth, Johannes Schmitt, and Philip Wellnitz.

Which graph motif parameters count? 39 Marc Roth, Johannes Schmitt, and Philip Wellnitz

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:38.134656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a318d8e1-8eaa-4127-bd13-6780b949a4bb · outbound

This paper cites 12 RL Graham, K Leeb, and BL Rothschild.

Which graph motif parameters count? 12 RL Graham, K Leeb, and BL Rothschild

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:37.802901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.