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Paper Citation Record · LEDGER

$q$-Difference Equations for two classes of Pattern Avoiding Permutations

As of 12 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2608.09078.

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

pith.paper-citation-record.v1
2608.09078 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:09:11.223129Z

measured 9 of 9 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

9 of 9 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36127a8e-0bb2-4be3-8616-f95a60de1b19 · outbound

This paper cites an unresolved cited work.

$q$-Difference Equations for two classes of Pattern Avoiding Permutations Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:09:11.557538Z

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.

source=pdf_text observed=2026-08-12T00:09:11.144591Z digest=sha256:8ded8e8d582925335e1c06301b9cfc6e11f6aa20939d262311af8748190bcd1c

Observation e0d9ed98-b9d1-4ac2-812d-27e2c863b7b1 · outbound

This paper cites Bousquet-M ´elou, M.

$q$-Difference Equations for two classes of Pattern Avoiding Permutations Bousquet-M ´elou, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:11.540847Z

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.

source=pdf_text observed=2026-08-12T00:09:11.182100Z digest=sha256:13f09e76d24bbd1b9ca3dd6d21716cb80a1ae049e9cdfdd1595c406ceccc80e7

Observation bfe0147e-9143-46da-aa2d-a50b879290a9 · outbound

This paper cites Conway, A.

$q$-Difference Equations for two classes of Pattern Avoiding Permutations Conway, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:11.523274Z

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.

source=pdf_text observed=2026-08-12T00:09:11.187655Z digest=sha256:0d11382fb6f6f9473c6726508451a787c782509260ebecb3a0ee1d1efbfd0a60

Observation 47c7d93a-f2d4-4f44-aa6b-a8af6a1859f7 · outbound

This paper cites Flajolet and R.

$q$-Difference Equations for two classes of Pattern Avoiding Permutations Flajolet and R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:11.506010Z

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.

source=pdf_text observed=2026-08-12T00:09:11.193858Z digest=sha256:c094c3e3eb1cfa745320727856b2b178a3a35dec95e4d613171705935ec43e80

Observation 19a85abd-d3c5-42d5-9cee-3296b47ec5ce · outbound

This paper cites Garrabrant and I.

$q$-Difference Equations for two classes of Pattern Avoiding Permutations Garrabrant and I

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:11.485756Z

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.

source=pdf_text observed=2026-08-12T00:09:11.201335Z digest=sha256:9e2f0576389a0cd5c953ef77e44a7df03262b70e12b8aadf31ba2314a87ca3cd

Observation 1988bff1-fe08-4685-8f21-ade5e9121885 · outbound

This paper cites Marcus and G.

$q$-Difference Equations for two classes of Pattern Avoiding Permutations Marcus and G

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:11.467130Z

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.

source=pdf_text observed=2026-08-12T00:09:11.207346Z digest=sha256:f3accb1b95ad0f54ce43af6e825f5588461658551c0ae352cca523fc7a481d5a

Observation df30766f-8ff9-4357-8c1a-96afa2a4795c · outbound

This paper cites Algorithmic and Enumerative Combi- natorics,.

$q$-Difference Equations for two classes of Pattern Avoiding Permutations Algorithmic and Enumerative Combi- natorics,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:11.447789Z

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.

source=pdf_text observed=2026-08-12T00:09:11.213187Z digest=sha256:59a285ed2c4a05c2cd796cc42ae97ccc83cea783455257d674f7e95997a4bf70

Observation f4f4aa6b-359e-46ce-8472-18df27e5d70c · outbound

This paper cites an unresolved cited work.

$q$-Difference Equations for two classes of Pattern Avoiding Permutations Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:09:11.429790Z

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.

source=pdf_text observed=2026-08-12T00:09:11.218272Z digest=sha256:8a3c8b6a87c16a31747e24f4b8c8351c2f5e27c73e49fa87ba3c47543e2708c8

Observation 719467fe-4a1a-4592-a567-7891dd5293d8 · outbound

This paper cites Vatter,An assortment of problems in permutation patterns: unimodality, equivalence, derangements, and sorting, arXiv:2602.16355, 2026.

$q$-Difference Equations for two classes of Pattern Avoiding Permutations Vatter,An assortment of problems in permutation patterns: unimodality, equivalence, derangements, and sorting, arXiv:2602.16355, 2026

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-12T00:09:11.414201Z

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.

source=pdf_text observed=2026-08-12T00:09:11.223129Z digest=sha256:f9115ae5f32b87a2887091c4548171ac35008b3857d49eb52506b9c7fc6ccdc5

Pith citing papers

No inbound Pith citation observations are available.