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Paper Citation Record · LEDGER

Counting pattern-avoiding integer partitions

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.03953.

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

pith.paper-citation-record.v1
1908.03953 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:36:03.417050Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e42b63dc-3343-452c-b737-7349b7931254 · outbound

This paper cites Andrews, Stacked lattice boxes , Ann.

Counting pattern-avoiding integer partitions Andrews, Stacked lattice boxes , Ann

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.957958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.285162Z digest=sha256:87468accd60e91fd0277506a53e3e5292c232fe386431238dc741187be98a42c

Observation 4d54cd1d-f10b-4baf-8f7d-83cd8d1af1a4 · outbound

This paper cites Bloom and D.

Counting pattern-avoiding integer partitions Bloom and D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.932519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.292780Z digest=sha256:9942eadf1ab2f8e138b93bb33469ba220342e317b05a8ac5c7f7a5d2c1c93158

Observation 2c0469a8-ab18-4bcd-a3fb-676e7857c712 · outbound

This paper cites an unresolved cited work.

Counting pattern-avoiding integer partitions Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:03.904694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.298615Z digest=sha256:f72912ba8b22a8fe61754906a9d5fe1d9f42382c30b0d4ea0f4a13304a4d137d

Observation 5bca49c0-77b0-4425-bbb7-d23bfb0aed49 · outbound

This paper cites Estermann, On the representations of a number as the sum of two products , J.

Counting pattern-avoiding integer partitions Estermann, On the representations of a number as the sum of two products , J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.879054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.307406Z digest=sha256:9156f23646324013926f2e3d0ea0234fc7f5862ffec8ad50f1be03beb2765d77

Observation b08b1164-0c64-4b05-80ae-460242cbdf50 · outbound

This paper cites London Math.

Counting pattern-avoiding integer partitions London Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.842438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.314888Z digest=sha256:9af6a996659d3f8d37e7d21f1b5d1caf731615b5eacfc86de6988ad71e73546e

Observation 85aba1b0-9b7f-4e89-8983-7fb544d593be · outbound

This paper cites Fatou, S´ eries trigonom´ etriques et s´ eries de Taylor, Acta Math.

Counting pattern-avoiding integer partitions Fatou, S´ eries trigonom´ etriques et s´ eries de Taylor, Acta Math

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.816366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.322554Z digest=sha256:722852532bc11d794eabe55d77827da1770cc3c8b21bb9b9dad52088992e2999

Observation 189061f7-31be-4df8-be23-5e2203686a46 · outbound

This paper cites Foata and M.

Counting pattern-avoiding integer partitions Foata and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.790378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.332600Z digest=sha256:e6c31d00fd5d7b88d796f13317a23c56a4a72c8e06a7a2bff60d0abe8993284d

Observation d36301a8-9d15-42f2-97f2-818fd1aa5161 · outbound

This paper cites Goldman, J.

Counting pattern-avoiding integer partitions Goldman, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.769444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.343320Z digest=sha256:933cca4dd09d82ef34975b6663a3832bde869ec385a13d7d37189295177b2ed9

Observation cb3a3268-5a19-48d4-b655-ced3326d8483 · outbound

This paper cites Halberstam, An asymptotic formula in the theory of numbers , Trans.

Counting pattern-avoiding integer partitions Halberstam, An asymptotic formula in the theory of numbers , Trans

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.751911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.350607Z digest=sha256:7a35f59ac1ec40418c9d67cf94b8379895d24e0b1fc758c788bfa244d8efe748

Observation 9dbf0556-549f-4554-bfcb-c98cfba156a0 · outbound

This paper cites an unresolved cited work.

Counting pattern-avoiding integer partitions Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:03.730744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.357208Z digest=sha256:11b287bfe2a0a986eb0df36f34e21d862aea173c48811f41af2191d2a2f2f4bb

Observation 9aaa7c67-a672-4e93-a740-d52dff7c01e8 · outbound

This paper cites an unresolved cited work.

Counting pattern-avoiding integer partitions Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:03.693593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.362929Z digest=sha256:6f96e6494d335c5cd446094b5065f6c37f92a07e5367c11d0da3dfa4e5a1dd1e

Observation cd8d82da-61c2-474b-9ac3-dab70c6363ec · outbound

This paper cites an unresolved cited work.

Counting pattern-avoiding integer partitions Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:03.672586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.369526Z digest=sha256:92c3ba4cc75a590a4a7874723a1c12da559327da9c415693f664b8bb5713a7f6

Observation e50a43b3-ffe0-4df5-93f5-04d3ca1c4293 · outbound

This paper cites an unresolved cited work.

Counting pattern-avoiding integer partitions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:03.642376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.375196Z digest=sha256:219a1a8f698c944e0d66306a7447a5ea74b8b35f06c2a47a5b1eb63f38c88d28

Observation 1027950a-2c30-4be5-851b-232210ffd4f6 · outbound

This paper cites Kaplansky and J.

Counting pattern-avoiding integer partitions Kaplansky and J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.608636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.383496Z digest=sha256:f651964cc9d552ead7b59f425f0646fece80fdad71d317c11ca9e7e69b57025d

Observation 1c300aee-0a8a-43f0-8a15-c096bfff6a49 · outbound

This paper cites Liedahl, Enumeration of metacyclic p-groups, J.

Counting pattern-avoiding integer partitions Liedahl, Enumeration of metacyclic p-groups, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.577451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.391184Z digest=sha256:7ee5f84fb833f0fef41b940edac21ab7dcc06a3219fb2133591a33899ae8160f

Observation 65af39bb-61c8-4707-97f6-418421cb4ade · outbound

This paper cites an unresolved cited work.

Counting pattern-avoiding integer partitions Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:03.555531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.396869Z digest=sha256:a834812ef6a2c2e9ad83b6ea8a426eb091ce20b1dc72db0efa4917f0f04c0d2e

Observation b59cbfb9-a7e0-462d-9982-f31d0bd6a900 · outbound

This paper cites Nathanson, Partitions with parts in a finite set , Proc.

Counting pattern-avoiding integer partitions Nathanson, Partitions with parts in a finite set , Proc

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.530867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.402892Z digest=sha256:23e0c7f49bfead4f99e3179af0326e9351f81cbf663fbdce91826db325bf6f40

Observation 5a6d30e3-c618-4c7e-a0bd-0dbf21568290 · outbound

This paper cites an unresolved cited work.

Counting pattern-avoiding integer partitions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:03.505293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.410573Z digest=sha256:ba184eb083fcf0baa41bd83546f3b9559c8414cfd83c96f17b9c9d64a82032f4

Observation fea3196d-66fe-443e-86d9-22610dc93d15 · outbound

This paper cites Stanley, Enumerative combinatorics.

Counting pattern-avoiding integer partitions Stanley, Enumerative combinatorics

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:03.480623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:36:03.417050Z digest=sha256:7921c0411ce15a8c8f861aadaa4955d7429fc14cf0f9ab7d2843e32fbe6f774f

Pith citing papers

No inbound Pith citation observations are available.