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Paper Citation Record · LEDGER

Grain Theory: Type-Level Granularity Correctness in Data Pipelines

As of 19 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 2026-08-19T06:32:44.657259+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=sha256:7d33af7ba0240b6a52c7e9c29a3dda37b6bc6cc27a539c55cd7de348778701c3

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=sha256:45a23a30e4445d1e10e2d5f7dffb53a86318bc2ac5059755c6a599b82503e52b

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=sha256:201dbf17d4d7fbc2bbb422342e9f59217ab6f94ecbac86ea3f3f2958ae8effca

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=sha256:2ec1eace4c4a38dd41df77c7d11a49e0a907338c7d3532e0b497d86cbfdaf24a

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:bfe41fa2228dc4cedbaf4c0333cfbbc0a68c4d9bc44f45eff88666cc351ed550

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=sha256:5f515585867090e91bb236294cae7848913e34a2555bf8a82fd48e8c55906e73

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:bd4294e1c3eb05a94989e0eee732b9f8da7e4956ccaddbc9dce61586c42e3d59

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=sha256:666cd41cc3250f0cc856f4acf43ac5845c973be90cc944c5c84538107b01f41c

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:b3177443f237a34a4b8c97d3f7d2a4f8ef6be6c790173cb5b7b6e21a5ae48710

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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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=sha256:0773453e2b68d23df72d0767c1260e7590494d5bd4d3126a3d52ad6b62a3de21

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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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

This paper cites an unresolved cited work.

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

This paper cites an unresolved cited work.

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:f61b315f8e1621afb5d59f9411076ace3487e8b4a505d38424543f46da059408

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=sha256:5f61422290b143c0ba53030e8f0265b8c12d4760cba3d19d0c8fecfba340ded1

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

This paper cites an unresolved cited work.

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=sha256:657bd4242eb24afcdc718765fab0dc9cb3a9baae84da7e18268fef38eb82ac10

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

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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=sha256:0f803751bbd02d9449b242c572ed35accb1a2b6ea16676949d2b946003e1bd29

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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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=sha256:44fa993d6de19bda5876d3eb7bd1600166e573035be176dbb12526e72bd21bc0

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=sha256:560902324920410d15c22c03ff0d1d772285c4df1d4ee326267d24c99e0f17ef

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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source=pdf_text observed=2026-08-03T13:03:19.757969Z digest=sha256:053ce165e1af5a49c1a178bda1d423f925a98d056848b62e3d4b64cc4a61a34b

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:c54a5c16591eef456565fd11af0eabf9bd94abaa105f9afd95036e2d84db5407

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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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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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=sha256:4ae8c61735e8aee65c9853ed3013b2fda986c394359196c2d6ccb9edfe24e553

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=sha256:08963fea0bcf9edead7a6157f85f4a6f415aa4f44c349b6cc556b5d5e72ee625

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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source=pdf_text observed=2026-08-03T13:03:20.911334Z digest=sha256:c4822d62f2d897364efa313465ab01d7e747e0ec461e9891b0738ebd80543de1

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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source=pdf_text observed=2026-08-03T13:03:21.015364Z digest=sha256:cccbcdd7a66e09beb9e0d26dcf06407f27f99f27fe660124d587e8e243d6e330

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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source=pdf_text observed=2026-08-03T13:03:21.129453Z digest=sha256:16b5987c2e490382017881c6e7ef3900ae61460311961a38726e6893644b6c8d

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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source=pdf_text observed=2026-08-03T13:03:21.279409Z digest=sha256:5c27cde97d79ce79601fd7b75a4523fd96d3c8928d6a463d8e7b2f251735d888

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:add47abf1fddbfbc7e4707ff633f658e4ddb0b671625b88e628dec97ef2622ab

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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source=pdf_text observed=2026-08-03T13:03:21.531900Z digest=sha256:5152bf4fc77ab7715c2a705ca8b0f6f98036906f53d4dd2c3cf9bbd350f287f0

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:c6fd6942f72833c8f2dd13ba62f979f69baecce07a5e068613510a0a50eb67c3

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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source=pdf_text observed=2026-08-03T13:03:21.811352Z digest=sha256:4eb8b8d610714fb13afc75c8c0f053d387746f74dbf0bdd8d95fabceddfeabd2

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=sha256:286a9438afa522ce4ce300aa626dab0899993071b48d45d03606ddad17ede746

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=sha256:8aa3164ecd32fb83c2efa4d2b6c4e27dd49e6f908f56cf22d643d2e1fc7d510d

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=sha256:4d07c24e089b26ba46a6eb6d718fa90559cf06c4b427748cdbe1fc368cc08584

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:f709a7155d695e103125a5e3106c24aea043c75330b63699245dcb2cddc7cc98

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=sha256:7e5e9fcea5b7d51cf5b81b69f21083b2ddf9739698f9c2ab5862c936c79bd7f6

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=sha256:340f1cc132d9e98e024e8cbe7da6dc7169746056380dde0f6ff7cebea3d50ce9

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=sha256:35a0ee864119850408c41dcd46de6b94931be73d6d1757d827c357e0d46c4826

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=sha256:075130f10495d418ad648ed067853ae6fec8d5424bcb7a7d97d9f31cdb67cf29

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=sha256:532d4ebfd4ef93fb835603fb36fd8bd3e809b79bcd92392b6f6387138de8696e

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=sha256:98b07756d1933ff88d10dcaed784f3885f7704a4d3f7bd8108e1f43027cb891d

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=sha256:8912ea4799cf5e239d469ad5efc713d7c20d64bcebe982580ee0d7cf9f8da6fc

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=sha256:892e2364ede57481bcbd783c4c15c66c038514735a8e4a79543d5c562606e74b

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=sha256:21fa7ce06e3c2ef4d84820895ff845e5d6d4077ef682e4ed104024f2a42b4906

Pith citing papers

No inbound Pith citation observations are available.