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Paper Citation Record · LEDGER

Benchmarks in Leipzig

As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2606.05818.

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

pith.paper-citation-record.v1
2606.05818 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T22:50:05.161173Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

40 of 40 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved36
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a8483fa-4f2e-44f9-a751-52f2fad58aa0 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 1

Resolution
parse uncertain
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:e4b99bb9f2efbb5725f7dcbe94580518e7e9ceb8447d760607c8ad4b79400c2d

Observation 2bd98ea5-a97e-460c-9357-71464f9d6464 · outbound

This paper cites This operationsis often called the stack sorting.

Benchmarks in Leipzig This operationsis often called the stack sorting

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:0407df4326960bd633b8a2a8660ae3c90bc0cd86a987de21a424ece1408a2dda

Observation 75fa9e99-0d1e-4816-afa1-b2002595ae27 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:9cb7bd8426b875936901fd264fa7005fedb1830d452f622a4ca0cff77230cf82

Observation 6159083f-d3f9-461e-b386-6a4fcbdaa637 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:de273bb41bb56a042c2217727f20bebd0645ccd9876f83f3da791407cf703683

Observation edce2bc6-02b4-4250-b0f2-d21f93cdc968 · outbound

This paper cites Mixed Eulerian numbers and beyond.

Benchmarks in Leipzig Mixed Eulerian numbers and beyond

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-02T16:17:09.268135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:a2eb464bb914374a787f7ff594698e91d396f48e6dccd50c91a5799f1d5c1ee4

Observation 9b3417dd-7d66-4aa0-a044-a9fbc384773d · outbound

This paper cites What is the largestksuch thatX k is normal? Question 040solved in Stage 1 Fix seven general points in the real projective plane.

Benchmarks in Leipzig What is the largestksuch thatX k is normal? Question 040solved in Stage 1 Fix seven general points in the real projective plane

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:b8bf2b3ef9bdd76b6c844d0a9af2a307624aa49fda68bf3b23698d8e82b42647

Observation c3f10af2-1be6-4f7b-a635-01bddfd5f660 · outbound

This paper cites Jeu de taquin and a monodromy problem for Wronskians of polynomials.

Benchmarks in Leipzig Jeu de taquin and a monodromy problem for Wronskians of polynomials

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-02T16:17:09.265439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:0b30621cbd476c7340b59a212b02ee7c48bf1d56e0049bf9b9e47bd8fb55970a

Observation 53e85787-741d-47c2-a68d-6f6b49ddba77 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:4ea884cbfe294227dc303f9177da5ccc7b0f8cfae115a10f70a602a1c2be8736

Observation 02da3d9f-7540-40f3-8af3-08fba32380f0 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:85ba4559cd34ed90f6ffb63fc594db124b702085c3a3396992b69761929a4ff8

Observation 9dbc91af-0705-4603-9ebc-a143ab03e62f · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:e7bb7a8f9c65fce94bbb7838df8278519db40373f73d5f5a1af961e32a334586

Observation 0eabc006-c40f-4f41-bbda-295ad8fee472 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:543764cb17766f1a04d2ef09465cfc39fa2eed5875d601255d6523aa91c86e5f

Observation 77971d34-dad8-456f-93b8-23e4283e9b83 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:bdc8a81820fb67a76f30a3a6323cf1b64e52de448dca4b590d8c5caad551846e

Observation 9b0890ae-d10e-4ee7-9ab3-c2349823c497 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:4cf7de163444ef253653b8f38ed961fefe5b59995d3abb58af72b1f7b87c765e

Observation aba8abc0-3e15-4035-9d99-8111ba18f816 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:10c98bc981a61114270c0e0f9d073bcc6c69afa013b12ca5c71e8c6ef01b06d8

Observation 4865feac-bad3-427e-81a7-5a9a34126cf6 · outbound

This paper cites checksum.

Benchmarks in Leipzig checksum

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-02T16:17:09.266866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:2e3daef30a2a2c8e1bf2c906b57846a20e6a81ed51cced82f8c582db5f6a07fd

Observation a2639cee-3c56-4709-a274-1779603f102c · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:05d7180eb58130cee92486f167797a943baa7977715b9dcad9388d074b01f5ff

Observation e32c8fdf-795f-4c41-8758-0278b8f9737e · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:aa5bfddafce3658992e17a99aa6e8fab086f045841a5b739c4b19f9ef71733a2

Observation 1a0e7d95-c67b-4706-b9d4-47b485863238 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:fc314126961b8a6256853fc4e34fd78e6b8e67f2b0b2f8272eff3c9ffb710e40

Observation d31685cd-1303-4e0f-bae1-c5dbebf1a335 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:c90013be6fa384d807440f59ce2b1f9bac8001fc4ed301fbe7775410ad8b1e63

Observation 452f442b-3bab-4045-82a3-e907641d67fb · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:da31e42b0a4c6fde4c1ebfb0d1f867c454c59ce0afe49d9ffac535c2f0d9294e

Observation 2d393ff2-f2e2-4dee-b47b-2470c199a03e · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:853653b96e5fa75d683db031735b1ecd528c792527129acc18e6f325935dd30c

Observation 2333335c-09bd-4d9d-a838-4daeb9b7d86d · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:798542a70bd766e2d565423c19f95c64a6516a86e9981070be64b0c86f615a48

Observation e83c621b-def1-4eca-8b82-a855825f2852 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:09a3af850454022066480c99727aa787c041605c0274e8d167ab416303efd51b

Observation 88d12c42-b896-4ac9-84c8-ebe7db996481 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:e265635721ac486d015e47a53466f4dc606cb443cd8dbbed4a5f8f0d261eb664

Observation c036765a-710f-49e8-8b32-8d22047646de · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:39e2f7785baefea82052aa94dffc589e90405a979786609b8ee950785b022576

Observation 10f48150-e9d5-4ea6-8f47-9690c7def8e0 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:e11d76a96c6a040721fb792d2610dbd91e6ed2f8f44a25921386074afcc997aa

Observation b431710f-83d8-4835-884a-422f5421f24a · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:3936febcff716fa7cd92063b5af54b5d7ae5154b9677eb10c5ae065b780e7eac

Observation e2270b1b-0c79-45e7-8592-b5d8e2f8828d · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:afaefcc51dd1fd93ebc98cae1bb467c4553bd85af0690d4171c8d5ceebce86fe

Observation 5d18c632-d5fe-4c1f-9a28-47af4a4b1782 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:675d863d1baf3e0347db86b56e9de31c45d1b7bd794056a88b91b6ed0ac6c46f

Observation a8d4cb50-5f2d-4c27-be62-f10f93849180 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:25dbe5a3dadaa6c5de997f33cf90e0128df71cb462cd8bd415bbb2ff0b26875d

Observation 777ae668-bd2d-4fdc-a049-6ad3b2790611 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:e891ff4366cee690a086c8730650df88085e8400169c9e04b12442b0bf87db30

Observation 6251e846-404f-41a6-a765-4c1fa454aa31 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:5e5f7d97dd3ef2e49e6238e984123baa3f3698e8e8382559c13c80472bf0021b

Observation b2afaffb-dea5-4c6b-b6fd-2e446c460d89 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:84dc74d276d09626fba4114d3fbbd8c6f218a82800ba5a12a3aaf89c4244f51b

Observation 880d7cac-d06f-45d1-ad70-b91ce10ebf8a · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:48bfb1ed66a57e4d228430146534885d179a5bee32398328216fb323532f04a1

Observation ded05f83-78b9-4a7d-8a52-bd6b25349986 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:1ef4ea829edbbaf840afbdf69f5e8c049e218a86665cc0161b21eb7202fd382a

Observation 2fdf87ed-3de6-4cee-a386-a054e5dc94dd · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:58da12769a1c18026f889cc5f663cb5ab91a1cdf43c763e02cb7ce670f3395d6

Observation 2a93fa2c-87eb-4f1e-b7c9-5f612d77adb4 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:b1222435b44ce0a60a5dc27bf6a1a30f048e99a57fe95daa9ef9f3884c588432

Observation 0e157ba2-3b8a-408e-a55b-56e7631bdc46 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:1646d13a1f74dd2e2f822837e25460d7d5bf9706db9e00d387537c1d5bd13d87

Observation ddc5fe4d-2937-47c3-844d-3f374b0e4653 · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:a43a01a7f0b65d19776a283594081bced0563172d60051f9fc14e2944bcbd88a

Observation beb0e520-7a36-40ba-9290-774b82a9cbbc · outbound

This paper cites an unresolved cited work.

Benchmarks in Leipzig Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-06-27T22:50:05.161173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T22:50:05.161173Z digest=sha256:cd9d1a887f58fb67f32d7227996d7f04a6f3f57e0eac5f74c2b516cc3f214edb

Pith citing papers

No inbound Pith citation observations are available.