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Paper Citation Record · LEDGER

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints

As of 14 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2411.16744.

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

pith.paper-citation-record.v1
2411.16744 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:10:49.336239Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

8 of 8 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c5853db-62d2-4d8b-b651-a4ed65753aa7 · outbound

This paper cites an unresolved cited work.

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:10:49.432580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T14:10:49.311114Z digest=sha256:30e64454f8232dc833ebd4593a87ebf45100a3c4f2a3f5ab661fc9230b4e51a7

Observation e93c9514-50ec-4175-9e03-fd84368a4abb · outbound

This paper cites Proof without words: Alternating row sums in pascal’s t riangle.

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints Proof without words: Alternating row sums in pascal’s t riangle

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:10:49.423641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T14:10:49.314894Z digest=sha256:aecbc4ee47357450b127a426feffb5a7fc7a12b4ac7fd29662a374ad8a0d9dfd

Observation 6e3d86a5-0bcf-40f1-af37-de0cf9161655 · outbound

This paper cites an unresolved cited work.

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:10:49.413449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T14:10:49.318826Z digest=sha256:599bbf939779d8984a37a0c3b9f782064c50461d0c570318d6763003d964a3f9

Observation 7af3fa82-0d32-4c21-943a-3416b340c367 · outbound

This paper cites Grimaldi.

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints Grimaldi

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:10:49.403694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T14:10:49.323059Z digest=sha256:586d0cec20b9c4f6fe7c6ea75596e2c0d4afc51057f30bea4417834c1ea6a27b

Observation dc75e7a8-37e8-4a27-b5c2-4097769a425c · outbound

This paper cites An Invitation to Combinatorics.

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints An Invitation to Combinatorics

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:10:49.394525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T14:10:49.326242Z digest=sha256:007719f09d5a49338c32c929022f19274e1d36edbce026bf7b0e8a5cea887f6c

Observation 9ecdcd93-0deb-4e45-abc7-6ebafc50a60c · outbound

This paper cites Counting occurrences of some subword patterns.

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints Counting occurrences of some subword patterns

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:10:49.366881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T14:10:49.329663Z digest=sha256:a01acca0f261fde9fd073b093981da2c9c64d1e8dcb93becfb735db6a85e4c8d

Observation 405b4f0c-21d6-4127-838f-f9b9f0526335 · outbound

This paper cites Counting s ubwords in a partition of a set.

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints Counting s ubwords in a partition of a set

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:10:49.385237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T14:10:49.333292Z digest=sha256:f7a272751a32ea890e712e1c546beae575d19e935d0adbafb9f67aaa71eedc81

Observation 2a8a866d-f29d-41d1-92ee-8b438ab6ab11 · outbound

This paper cites Combinatorics formula repository, 2024.

From Exponential to Polynomial Complexity: Efficient Permutation Counting with Subword Constraints Combinatorics formula repository, 2024

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:10:49.376264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T14:10:49.336239Z digest=sha256:b3a796548f33410e470dbf8b75126f7830a1fd5aeecbae6974656a6c8d71c35c

Pith citing papers

No inbound Pith citation observations are available.