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Paper Citation Record · LEDGER

Grain Theory: Type-Level Granularity Correctness in Data Pipelines

As of 9 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2601.00995.

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

pith.paper-citation-record.v1
2601.00995 v2

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:03:22.542996Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

60 of 60 outbound references displayed

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External citation measurements

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Outbound references

Observation 8c6a9f71-3d07-4adf-b3d0-e32e2f370e51 · outbound

This paper cites Chasm Trap problem in Data Warehouses.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Chasm Trap problem in Data Warehouses

Reference 1

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source=pdf_text observed=2026-08-03T13:03:17.130561Z digest=sha256:a83199eec53e23835708c445f4774e9079f31d7878c9c2a4d4ae4a9c642c10f9

Observation 709a0f67-908e-4449-b3b1-7ac30253120b · outbound

This paper cites 2 Common SQL Join Traps (with Test Queries).

Grain Theory: Type-Level Granularity Correctness in Data Pipelines 2 Common SQL Join Traps (with Test Queries)

Reference 2

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source=pdf_text observed=2026-08-03T13:03:17.279092Z digest=sha256:148c6ca70793951a6dceb5515ecec9a23fc89278051bb5140946b292117e6cd4

Observation 33bc314e-cbc4-4894-8b32-4719c15bf9ea · outbound

This paper cites Escaping SQL Traps with the Unified Star Schema.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Escaping SQL Traps with the Unified Star Schema

Reference 3

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Observation a9df3df8-5562-4099-b49c-060c9e7286bf · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-03T13:03:17.398552Z digest=sha256:d059f6a6392b23e9ce2c5a40041d5ace5f2cb4a68794359f44f117f5a5c5f87a

Observation 994ffe7b-e42e-4b16-976f-f3bb4b1bed99 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-03T13:03:17.576444Z digest=sha256:a297d8226f9b99cab1341e6b80db9bf816162b225d8fe0ca0817eb66951dc730

Observation b95cf310-9af8-421e-8e6a-7a2f781b5dbb · outbound

This paper cites Armstrong.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Armstrong

Reference 6

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source=pdf_text observed=2026-08-03T13:03:17.713426Z digest=sha256:952f107875546e817062138dd5c81cfd295ccff47cea9ff07c7cea486bfc9ee2

Observation 431beb32-3bde-48b1-9eb1-d295d5c2e5c6 · outbound

This paper cites Jiang, Jia Deng, Stella Biderman, and Sean Welleck.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Jiang, Jia Deng, Stella Biderman, and Sean Welleck

Reference 7

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source=pdf_text observed=2026-08-03T13:03:17.838063Z digest=sha256:6a159f45125d1bedf0f3fe496d97fe1e90194f9d0ba6af64c7fd2016a105801c

Observation 632fb802-63db-4a72-8fa9-2fc4c230b09c · outbound

This paper cites 2013.Idris, a general-purpose dependently typed programming language: Design and implementation.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines 2013.Idris, a general-purpose dependently typed programming language: Design and implementation

Reference 8

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source=pdf_text observed=2026-08-03T13:03:18.016437Z digest=sha256:044e6dd3fe045ef1e6cd1b2297a485e40ac0d3ad064923dd4c552594b65aceee

Observation 9ee085d9-b473-4aae-986d-2cc44b192aa3 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-03T13:03:18.104595Z digest=sha256:0e9e9dda24afe8bab6135e9c698bd02dc9073f09efce4cb45d5c9c84b88c5326

Observation ce3dc335-4bc8-4075-b382-85cc17443009 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-03T13:03:18.199070Z digest=sha256:70e3c5b840fe0976728e1f5ee2a13486b4448be7b485e0bb71302686fe83322a

Observation a5c55b09-4c66-4a07-b114-addcc6257cd2 · outbound

This paper cites 2012.Data Matching: Concepts and Techniques for Record Linkage, Entity Resolution, and Duplicate Detection.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines 2012.Data Matching: Concepts and Techniques for Record Linkage, Entity Resolution, and Duplicate Detection

Reference 11

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source=pdf_text observed=2026-08-03T13:03:18.250550Z digest=sha256:daccf3616b1f40da83f4f849078198df636f9f1594af1d16875139ba5493044e

Observation 204b7aa4-0cfc-4403-8355-2f044a7b6745 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-03T13:03:18.328945Z digest=sha256:8d3eb547432e366e7f678078aec3d5ff2fd517f0432eadd10412c9d93f80a83e

Observation adbbd1f9-fd62-4b9b-82ff-69fc9959cb0c · outbound

This paper cites Ilyas, and Paolo Papotti.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Ilyas, and Paolo Papotti

Reference 13

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source=pdf_text observed=2026-08-03T13:03:18.395761Z digest=sha256:5824f7d73653e0be3f20925b0918f8f578bb1f7a70438c035eb176230cae666e

Observation 23d78f27-faad-4437-966c-82292e353b89 · outbound

This paper cites Informal Data Transformation Considered Harmful.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Informal Data Transformation Considered Harmful

Reference 14

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Observation 5427be85-6b96-46de-bc12-d52bbb3b73b0 · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 15

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Observation df603a94-c4f5-4032-9192-7e923c1c9b8d · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 16

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Observation d9dc3822-2d13-4bd9-9e98-70b4476c71c2 · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 17

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Observation bb3debca-7ab3-44a8-b067-04a6e141afe4 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-03T13:03:18.683030Z digest=sha256:c116fe1db07b3479a709159c290a94c149a00cb7842a6fc39bedeb1400f415e5

Observation 1b79f2d0-b8c6-4a83-b783-da42c358f855 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-03T13:03:18.740185Z digest=sha256:e6bce7a9a90a62a1a6cd19fdf647d16949029652f87fcdf078e9e24dbefba867

Observation 2a80d2d0-99a9-48ce-9559-bbf02b3f4096 · outbound

This paper cites Elmagarmid, Panagiotis G.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Elmagarmid, Panagiotis G

Reference 20

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Observation dbe2fc42-34a7-467f-8239-0c0850b706a4 · outbound

This paper cites Kolaitis, Lucian Popa, and Wang-Chiew Tan.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Kolaitis, Lucian Popa, and Wang-Chiew Tan

Reference 21

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Observation 7431a698-b8f2-4724-8ac9-4251d29e3af3 · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-03T13:03:18.961073Z digest=sha256:4fb731e018836286772b227712cdaa7815764b464443931bdb3997fef86020da

Observation d2261f64-ef02-4693-bfad-b40c4281f0d8 · outbound

This paper cites Rabe, Talia Ringer, and Yuriy Brun.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Rabe, Talia Ringer, and Yuriy Brun

Reference 23

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Observation 464c91dc-8952-493d-a178-53fac61d115d · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 24

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Observation 650e6a44-1812-47b8-b73d-a17d80dc6451 · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

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Observation b91271ba-7122-4a56-816a-94c1de692b1a · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

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Observation ddfa8a6a-b2b0-4323-9ccf-31f340df87bb · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 27

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Observation 66172fb9-e1a4-48f1-83eb-d410020ce63c · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 28

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source=pdf_text observed=2026-08-03T13:03:19.452375Z digest=sha256:2f0c53652a2248f930c2011fc70ca4b0af86a14be333412f96aef88f05da8094

Observation 78385522-0d57-4bca-a9b8-daf4027d8c36 · outbound

This paper cites 1996.The Data Warehouse Toolkit: Practical Techniques for Building Dimensional Data Warehouses.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines 1996.The Data Warehouse Toolkit: Practical Techniques for Building Dimensional Data Warehouses

Reference 29

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Observation 4c6c39b9-714d-4827-803b-15118a9dda23 · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 30

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source=pdf_text observed=2026-08-03T13:03:19.534481Z digest=sha256:03b0d58ca0bd42fc23e5bf2a6492054545af89ffac073c266b1c7e806d4ff75d

Observation 4632e8b1-01d2-4c09-bc9a-d03869be0045 · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 31

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source=pdf_text observed=2026-08-03T13:03:19.588800Z digest=sha256:9b0b3ae9ddad88880a636d3e2e4ef2cb7e185978fa7b30b41c72b600d5df4304

Observation b7166a0f-27da-45fb-9675-88ed9cddae6f · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 32

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source=pdf_text observed=2026-08-03T13:03:19.702750Z digest=sha256:c8c90725987261f5d5c7ea4ca86d47be0737c728f29b3b0a8612ea5d31125ffb

Observation fa0f57bb-7629-4f8d-982d-44fda7951f27 · outbound

This paper cites 2004.Elements of Finite Model Theory.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines 2004.Elements of Finite Model Theory

Reference 33

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Observation 21ce2684-bb90-42d0-889e-e4ee180b0e8b · outbound

This paper cites 1998.Categories for the Working Mathematician(2nd ed.).

Grain Theory: Type-Level Granularity Correctness in Data Pipelines 1998.Categories for the Working Mathematician(2nd ed.)

Reference 34

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source=pdf_text observed=2026-08-03T13:03:19.837388Z digest=sha256:ce54acd7cce4544242d8e521681de8a98f888e733139e88db543a05ff2388bbf

Observation e15092ce-5035-4e11-94d5-d20e83e2f817 · outbound

This paper cites Bernstein, and Erhard Rahm.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Bernstein, and Erhard Rahm

Reference 35

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source=pdf_text observed=2026-08-03T13:03:19.982885Z digest=sha256:60020fbdd56a9fa446f2cf402028ecc3b16948e9b5f0f08c6284f3f8af897558

Observation 088fdd89-6ff5-4c04-a4ba-acee11075520 · outbound

This paper cites 1984.Intuitionistic Type Theory.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines 1984.Intuitionistic Type Theory

Reference 36

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source=pdf_text observed=2026-08-03T13:03:20.152176Z digest=sha256:0063c67c90f2fd4b4d8d30d2f27b4ca76f3290aaea319dc1f540808c35623bb2

Observation 885ab351-3cd6-4bc3-8744-09d674aa824c · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 37

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source=pdf_text observed=2026-08-03T13:03:20.332487Z digest=sha256:e11fe54a485959e9d809bffd3562b5818e8b66c5626ff86918855b1f5f6a9445

Observation 2084ca62-bdc7-4361-ab38-226eb51503f3 · outbound

This paper cites 2014.Programming in Scala: A Comprehensive Step-by-Step Guide.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines 2014.Programming in Scala: A Comprehensive Step-by-Step Guide

Reference 38

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Observation d7e23de7-7cbd-4609-bb22-d6aa6b45f9ae · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-03T13:03:20.615413Z digest=sha256:9526a791438a08eb0d58a5d41e8e3862ef0d026b3ad417fbeff173ea17f929a9

Observation c936d881-24b6-4ca6-b56f-f2fd09802bfc · outbound

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Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 40

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Observation 24428596-7702-4e1c-b7a7-d89b56302219 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 41

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Observation f74df2db-3776-4b1a-a188-5dab3ce71c67 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 42

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Observation d4aba069-bc70-49e7-8900-454b6b56807a · outbound

This paper cites Bernstein.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Bernstein

Reference 43

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Observation 6699228b-4533-4bbd-bd3e-1ad31d0d0dab · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 44

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source=pdf_text observed=2026-08-03T13:03:21.416496Z digest=sha256:7860abb6f4e2a94bba1028092d0b6ffabdfc0d3a177cef1d9c43668ef13d45f2

Observation 08c545da-5096-40d9-b4e7-f6725eef7db3 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 45

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Observation 350e9813-ab6a-4c39-b6e8-edb96c754683 · outbound

This paper cites Algebraic Model Management: A Survey.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Algebraic Model Management: A Survey

Reference 46

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source=pdf_text observed=2026-08-03T13:03:21.672132Z digest=sha256:0b6a3501b5383bb079d3bfa883885583c39e1b653e0b07e342a0f5b9b292c62f

Observation 953126d8-d628-4316-ab42-481f476e6661 · outbound

This paper cites Algebraic Data Integration.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Algebraic Data Integration

Reference 47

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Observation e062c627-3435-4e9d-944c-330764bda54f · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 48

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source=pdf_text observed=2026-08-03T13:03:21.902568Z digest=sha256:4a9834a26082355a722593e80cd13e56b37fd69238a906cdd2f59067f2e96595

Observation 5a379d04-d526-41de-8283-e559ff84f223 · outbound

This paper cites Siek and Walid Taha.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Siek and Walid Taha

Reference 49

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source=pdf_text observed=2026-08-03T13:03:22.009174Z digest=sha256:48d7b25ce9a0054b2ec083bda3b8bb69478b94c196983198303a37ca690103fb

Observation 7ba85302-0ceb-43e3-a4ed-84a0dda472c0 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 50

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source=pdf_text observed=2026-08-03T13:03:22.095596Z digest=sha256:2aee578c8cd2a0963fb0d91595387d78caf638284f85e792dbf12aa914e08129

Observation cc83d64a-4216-4ca4-8de0-e6e2cbb1cb23 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 51

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source=pdf_text observed=2026-08-03T13:03:22.161001Z digest=sha256:b6b2588178bf1b5aaddaad92da832462f1cb7d0994f24d35738739f07076e266

Observation 436adc3c-de7e-4e49-bb28-2eba3866db71 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 52

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source=pdf_text observed=2026-08-03T13:03:22.222363Z digest=sha256:6e7c44f296dfb4cf1111ed9829ae9f62fd43d3440279d7f7a6cbe626590c0944

Observation 07442a31-b228-4c4d-81bd-33a57ee0f6c9 · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 53

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source=pdf_text observed=2026-08-03T13:03:22.289924Z digest=sha256:177a327add898e9b86514e17cb63ab4838fc49f73e5936e1daa205025b2aa206

Observation cf025fee-779a-48f9-be3b-8b69b9adf74e · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 54

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source=pdf_text observed=2026-08-03T13:03:22.374874Z digest=sha256:21d5b8385c67df3b199883b88f1a2cf5d71ec82dc53f945b4dcc4ae72ce5fa5b

Observation 09d577b9-e7a0-459c-89f7-8e34971c2e6a · outbound

This paper cites an unresolved cited work.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Unresolved cited work

Reference 55

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source=pdf_text observed=2026-08-03T13:03:22.456710Z digest=sha256:7019d3c2dcc6f767b41de2d2ca1eecf91b93b5c69743f51f57300487331fe401

Observation 7619f6cd-3f18-4f83-8b7c-9397ebd10a1e · outbound

This paper cites LeanDojo: Theorem Proving with Retrieval-Augmented Language Models.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines LeanDojo: Theorem Proving with Retrieval-Augmented Language Models

Reference 56

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source=pdf_text observed=2026-08-03T13:03:22.542996Z digest=sha256:8ae8d038497de3966f3b066237b8fd14cf04a95bf5b4aed17196fff1566c973f

Observation abea9738-3a4d-499a-8ef3-4e6fedba8be9 · outbound

This paper cites InJournal of Functional Programming, Vol.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines InJournal of Functional Programming, Vol

Reference 2007

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source=pdf_text observed=2026-08-03T13:03:20.792538Z digest=sha256:8d1e508ebbcb5d02cab23ecaf9f3547508f8966456748f7f66cf41899f4fc0d6

Observation 88168f60-b45d-462b-a1b1-6017eade9441 · outbound

This paper cites InProceedings of the 2017 ACM SIGMOD Interna- tional Conference on Management of Data.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines InProceedings of the 2017 ACM SIGMOD Interna- tional Conference on Management of Data

Reference 2017

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source=pdf_text observed=2026-08-03T13:03:17.449424Z digest=sha256:7cb6ffe1b4089f776de40631d8be059fd8f165a54f3789c09cde43edbab03589

Observation 4740889c-c469-415d-bdaf-cb2435cdc11c · outbound

This paper cites InProceedings of the 2018 International Conference on Management of Data.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines InProceedings of the 2018 International Conference on Management of Data

Reference 2018

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no resolver link, observed 2026-08-03T13:03:19.396855Z

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source=pdf_text observed=2026-08-03T13:03:19.396855Z digest=sha256:d588b32d61ba4ec6f7c463a8af586ea2b28ee0b910596085b51fd3d3b5da5db2

Observation f8f5f34d-3130-4fda-b531-6bdaa08ddacb · outbound

This paper cites Llemma: An Open Language Model For Mathematics.

Grain Theory: Type-Level Granularity Correctness in Data Pipelines Llemma: An Open Language Model For Mathematics

Reference 2023

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source=pdf_text observed=2026-08-03T13:03:17.939767Z digest=sha256:fdeb98db3ab06f4dc1e8b3b9d5ccfb425a333ab5bc26c8db3507a42d582be2b8

Pith citing papers

No inbound Pith citation observations are available.