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Paper Citation Record · LEDGER

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.04025.

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

pith.paper-citation-record.v1
1908.04025 v4

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:00:14.426587Z

measured 26 of 26 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

26 of 26 outbound references displayed

  • verified exact2
  • verified fuzzy22
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3421995c-efa2-4f7e-aab6-7d7eb1cd72ea · outbound

This paper cites Bertrand.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Bertrand

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:15.182430Z

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=2026-08-14T14:00:14.272649Z digest=sha256:509609a52943b01e7f8bbefbf3c0c3e58efc297c15dfa9e2e37c396729c17c04

Observation 47ec30c2-577a-4d24-a989-b81888f3693e · outbound

This paper cites Bóna, Combinatorics of permutations.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Bóna, Combinatorics of permutations

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:15.160193Z

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=2026-08-14T14:00:14.279404Z digest=sha256:6d8f6e6ffa7fd264e13755f49b7186dacfa0520df43f439a3be0ca1b3fbbc216

Observation ff84f70f-93f2-494f-af3e-e45555c2212e · outbound

This paper cites Stack words and a bound for 3-stack sortable permutations.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Stack words and a bound for 3-stack sortable permutations

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:00:14.534916Z

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=2026-08-14T14:00:14.287369Z digest=sha256:2b218c2f6e38aa01df26e3f071e6512c66ebca8e9f2734693bde04d1561e482f

Observation 64af8086-5a51-4060-8f84-2d2fb8604102 · outbound

This paper cites Bóna, A survey of stack-sorting disciplines.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Bóna, A survey of stack-sorting disciplines

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:15.138358Z

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=2026-08-14T14:00:14.293255Z digest=sha256:a63109ab91e64c04256c02bc52e278baedac3d11e811fee919a0ef4ad5a66bc1

Observation e24411c7-852d-4c14-b2d3-db852df09ae2 · outbound

This paper cites Bóna, Symmetry and unimodality in t-stack sortable permutations.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Bóna, Symmetry and unimodality in t-stack sortable permutations

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:15.112701Z

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=2026-08-14T14:00:14.299888Z digest=sha256:75f99b091feee7071c6f3f3a0cae4d6574ee38d625938f217dc2faaf36ae7e38

Observation 5bb9b1a0-c0e9-4c7b-9f57-c0e5e0f14d20 · outbound

This paper cites Bousquet-Mélou, Multi-statistic enumeration of two -stack sortable permutations.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Bousquet-Mélou, Multi-statistic enumeration of two -stack sortable permutations

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:15.089880Z

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=2026-08-14T14:00:14.306644Z digest=sha256:c180690c67440b79a96aa555499c279755f470e5c4900cda5e79a3e4262f4347

Observation 350c6cd4-78e3-4b67-ad13-73598dc17ce0 · outbound

This paper cites Bousquet-Mélou, Sorted and/or sortable permutation s.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Bousquet-Mélou, Sorted and/or sortable permutation s

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:15.067254Z

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=2026-08-14T14:00:14.312161Z digest=sha256:081e964a7f8d537a7ae3a3feb0ea74644a675b99b96e9d4faf6bd613019e3eda

Observation 1c703528-60a1-41da-9363-47fa70c6b7da · outbound

This paper cites Defant, Catalan intervals and uniquely sorted permut ations.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Defant, Catalan intervals and uniquely sorted permut ations

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:15.040979Z

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=2026-08-14T14:00:14.317846Z digest=sha256:446496a78c5cf2c059c0a20568752c1a9916fdf06363bd3f8f44241780d85c9c

Observation 3c9a3c81-6b94-4c2f-92cb-5fae7b97538d · outbound

This paper cites Defant, Counting 3-stack-sortable permutations.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Defant, Counting 3-stack-sortable permutations

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:15.019072Z

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=2026-08-14T14:00:14.323677Z digest=sha256:dea3342ff116927bc466da1940b7829a622396cdadb12a4a69f793f65de95d4d

Observation 8cb6901f-c5d1-46f8-a2c4-e561824b66f3 · outbound

This paper cites Defant, Descents in t-sorted permutations.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Defant, Descents in t-sorted permutations

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.997675Z

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=2026-08-14T14:00:14.329044Z digest=sha256:8078a3b3289d788f68ef49279f445c35dd728ff9c278ab34998baefc33160380

Observation 439a6e69-f508-4e63-87a6-0482a1212dfb · outbound

This paper cites Defant, Fertility numbers.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Defant, Fertility numbers

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.979702Z

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=2026-08-14T14:00:14.334377Z digest=sha256:7f20607c66190494046098d8f6aa6dd0153ca840b98bf5aa38a25909364c3b88

Observation 4e6a129a-c37b-4faa-ad46-ece8c28f82be · outbound

This paper cites Defant, Fertility, strong fertility, and postorder Wilf equivalence.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Defant, Fertility, strong fertility, and postorder Wilf equivalence

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.813976Z

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=2026-08-14T14:00:14.340245Z digest=sha256:3832dbad6fa0895d30a92d22274828061d709caea5be92a84438d8b8a3abe313

Observation aa9d3402-6638-481c-b484-fbd923740104 · outbound

This paper cites Defant, Preimages under the stack-sorting algorith m.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Defant, Preimages under the stack-sorting algorith m

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.797632Z

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=2026-08-14T14:00:14.346885Z digest=sha256:55d0f4d513ae9e0369b88dbee4033051d687eeff50b1b54adefe91773c225f7d

Observation 397a9a35-14d9-4b7d-ba1b-8a9fa97b8eda · outbound

This paper cites Defant, M.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Defant, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.781119Z

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=2026-08-14T14:00:14.353092Z digest=sha256:95d8d73953fa3d7c5f01c7e734a57e086d54a6d68d24e1cdb27af47194d1c104

Observation be3f1f70-f83c-447a-aff0-79782b9a411f · outbound

This paper cites Goulden and J.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Goulden and J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.762905Z

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=2026-08-14T14:00:14.358922Z digest=sha256:186a39fd99a61d2cf2b9443f57e1458222dd614166c39d3e1b590f12cfa643f3

Observation 7110a91e-5ee2-4f55-8369-8817a681066a · outbound

This paper cites an unresolved cited work.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:00:14.745469Z

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=2026-08-14T14:00:14.364277Z digest=sha256:6c1442ad982b6d0db32dd612ae47cbea79b3fcaf3e8d93bb0fea458f7f334f02

Observation 4afcd8ce-3543-45c9-8ef1-970f8303eff5 · outbound

This paper cites Kitaev, Patters in Permutations and Words, Springer -Verlag, Berlin, Heidelberg, 2011.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Kitaev, Patters in Permutations and Words, Springer -Verlag, Berlin, Heidelberg, 2011

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.729516Z

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=2026-08-14T14:00:14.371097Z digest=sha256:c5d50cf6e7f04bf3fb6ae448468e159e58a217e09a0c06b3248ee935146a8ee6

Observation f75776fa-70a4-4198-862a-ca6bac6a3fa4 · outbound

This paper cites an unresolved cited work.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:00:14.713414Z

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=2026-08-14T14:00:14.376540Z digest=sha256:728e7aa5d77dcd1efc1c212bd36f6b629147e396d77ef1a0eeec2d642b9a611e

Observation 9c2e038d-0dad-47bf-b799-1ebc3df47c3f · outbound

This paper cites Krattenthaler.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Krattenthaler

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.690183Z

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=2026-08-14T14:00:14.387903Z digest=sha256:af665bf9c0948a767e94fe2487d779b15bc0a759ccf129460cab559f2277e8bf

Observation f99fbb45-739a-4801-babd-b38befe8da67 · outbound

This paper cites Lassalle, Two integer sequences related to Catalan n umbers.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Lassalle, Two integer sequences related to Catalan n umbers

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.670396Z

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=2026-08-14T14:00:14.394337Z digest=sha256:e5ffe37bb9346260850aabf4c2c1e836fc4f53b3f73612515a46502518393c11

Observation 5b916c7c-1ced-41e1-8bf1-9d933eac10b4 · outbound

This paper cites Linton, N.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Linton, N

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.650458Z

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=2026-08-14T14:00:14.401388Z digest=sha256:e296f141fe710e548d4148aeb9cf33f8015a768adb13f7f6bd4d0d9c45fcd057

Observation 4bd70e44-a1ad-4060-875f-b067e226d7d0 · outbound

This paper cites Petrov and A.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Petrov and A

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.624572Z

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=2026-08-14T14:00:14.406589Z digest=sha256:6b5c38bcee76728db3ed68c2b7d328f704e0b9f8926f5139f4471c7c713d81d5

Observation c4e88273-5e3e-4f7f-ae6a-9df17eabe724 · outbound

This paper cites A bijection between ternary trees and a subclass of Motzkin paths.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations A bijection between ternary trees and a subclass of Motzkin paths

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:00:14.492940Z

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=2026-08-14T14:00:14.411555Z digest=sha256:e641081fd62c6376a11d468a7d3e117d35d749417c2f777b88815a0c7c02251e

Observation a224baf0-7488-4a7b-a064-9b30f00f5ede · outbound

This paper cites West, Permutations with restricted subsequences an d stack-sortable permutations, Ph.D.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations West, Permutations with restricted subsequences an d stack-sortable permutations, Ph.D

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.603381Z

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=2026-08-14T14:00:14.416618Z digest=sha256:8ddc45e9f0337243259e53d2e8aea8567e13e78a4618f266ed2ae7623cd817f5

Observation e3fc63c6-122b-4259-b6bf-3aa4018315c8 · outbound

This paper cites Whitworth.

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Whitworth

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.577474Z

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=2026-08-14T14:00:14.421146Z digest=sha256:bd7cda3ff332f961be7d2c5e6a5b7ac4a2393927a54db608644ec0a343f27a02

Observation 7e793781-cc9e-42bb-a7f6-52d30ff8eb18 · outbound

This paper cites Zeilberger, A proof of Julian West’s conjecture that the number of two-stack-sortable permutations of length n is 2(3n)!/ ((n + 1)!(2n + 1)!).

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations Zeilberger, A proof of Julian West’s conjecture that the number of two-stack-sortable permutations of length n is 2(3n)!/ ((n + 1)!(2n + 1)!)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:00:14.558776Z

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=2026-08-14T14:00:14.426587Z digest=sha256:8099ca55ddf33798d7ca72bd8203b346d6ab293ff8e83f65191651c5aac41525

Pith citing papers

No inbound Pith citation observations are available.