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Paper Citation Record · LEDGER

Which graph motif parameters count?

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:01:38.231098Z digest=sha256:f14d0fb479c9677ada85b62258e5adcb92c14dce54f444cb9415e305fc01215a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:01:38.348143Z digest=sha256:e1a309c09dffd0f1850a0d96d9b4318e96a726fd47af79987bd5003fb9d21df9

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:01:38.418014Z digest=sha256:963710ab78497cbe40b934d1c72c480053ba1af8648872c4fc2cc9b996f6ae5c

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.

source=pdf_text observed=2026-08-06T17:01:37.958447Z digest=sha256:407b897dc5f292daf142fc6241a23e4d8a1d00b5ccbedd0482ca71ee02ca2747

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:01:38.514378Z digest=sha256:6e5b14edf567bce4a7413c1d0ec63c1adec7b8245f45d47658dd912c800800ed

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:01:38.614730Z digest=sha256:2cbaa3afbfdcea21dfc20e9eef0f500355035fd5b6a3b26698f38924b4561486

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:01:38.695563Z digest=sha256:67067641281abc1d1c98b10c886fa25ded9c9af0904e55386dc943af8a296346

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:01:38.751249Z digest=sha256:204659463489ecd5012320292636c7fdb971f9b40f6abf2c80d2d56614f1c679

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.

source=pdf_text observed=2026-08-06T17:01:37.874424Z digest=sha256:483e278dcbabb3b875c95ff6510fa42ae70fc405584b18b841e4892a47541539

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:01:37.752192Z digest=sha256:9c0b01c43d30a7fec227e1b9a3d9aa878c54c8de02c4ad171ad9d43e66892300

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.

source=pdf_text observed=2026-08-06T17:01:38.047247Z digest=sha256:3ff07dfa75616af177bc05a7d8eea6560f49026043f0439dd4c7f3c3d358949a

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.

source=pdf_text observed=2026-08-06T17:01:38.134656Z digest=sha256:47bc4ec8172ad4f18545a11c883ad98d2f469949f869cb16b7a535706788e9c5

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.

source=pdf_text observed=2026-08-06T17:01:37.802901Z digest=sha256:c6737d3b7a1e07c7dfffa7cdff4aec273166cdeed44ce713f85aab3b036cd04b

Pith citing papers

No inbound Pith citation observations are available.