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Paper Citation Record · LEDGER

Bidirectional Typing

As of 16 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1908.05839.

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

pith.paper-citation-record.v1
1908.05839 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:08:04.944089Z

measured 35 of 35 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

35 of 35 outbound references displayed

  • verified exact6
  • verified fuzzy16
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4aaffa82-0f5b-486e-8141-f5b7da61c4d4 · outbound

This paper cites Lecture notes for 15–317: Constructive Logic, Carnegie Mellon University.

Bidirectional Typing Lecture notes for 15–317: Constructive Logic, Carnegie Mellon University

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.664506Z

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=2026-08-14T13:08:04.867129Z digest=sha256:e1949b123f63c77dbf88e6b9a6c8e629579e217b70e94f57819ea9f5fd1161e6

Observation 487765b5-fd58-44ba-b73c-f53e04669e67 · outbound

This paper cites Lecture notes for 15–317: Constructive Logic, Carnegie Mellon University.

Bidirectional Typing Lecture notes for 15–317: Constructive Logic, Carnegie Mellon University

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.640476Z

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=2026-08-14T13:08:04.874056Z digest=sha256:608c2bfa7351995a715fa84eeea3486a3495d3d2cacb518e13af02f1d871d3e1

Observation defc5ce7-7ffc-4fa1-a987-5bbf01dd3476 · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T13:08:04.881963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:08:04.881963Z digest=sha256:32479c0d84196adcc91b144295c0252d30df35bd7d81230d2f77fbf7137de58b

Observation 0cd2b9fb-2d42-4897-9a0b-be4e10689ee1 · outbound

This paper cites In Proceedings of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages, POPL 2017, Paris, France, January 18-20, 2017 , Giuseppe Castagna and Andrew D.

Bidirectional Typing In Proceedings of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages, POPL 2017, Paris, France, January 18-20, 2017 , Giuseppe Castagna and Andrew D

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.585895Z

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=2026-08-14T13:08:04.894198Z digest=sha256:28865de5c43657a815c05c0938fd276af0bfd238c2e29cc1d875bbf9964b0103

Observation cafb750e-4d1b-4fc9-9a61-28898abdd598 · outbound

This paper cites Robert J.

Bidirectional Typing Robert J

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.553432Z

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=2026-08-14T13:08:04.921533Z digest=sha256:9bba91d1117cce90ba69ac20b92272a4f7e3bd3aaa697233e6af2f5112c91899

Observation 273ec81f-0826-440b-9a95-a3f5b48338bd · outbound

This paper cites ACM Trans.

Bidirectional Typing ACM Trans

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.541742Z

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=2026-08-14T13:08:04.927471Z digest=sha256:af87f7c3be04fe0bd95386daf26468f2e3e7ac78b49c636fd491d6275d187a27

Observation ee955089-47a1-4ef6-abd8-e6db8fa6734a · outbound

This paper cites In Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS ’18).

Bidirectional Typing In Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS ’18)

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-14T13:08:04.940497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:08:04.940497Z digest=sha256:58f542657d09a1604c8847d13d3a5f8360aca5168a77e0bee2b44d2c9e11c263

Observation 2c33996b-7a14-4d72-a8e0-9dd7d49b8307 · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 35

Resolution
verified exact
doi, observed 2026-08-14T13:08:04.984702Z

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=2026-08-14T13:08:04.944089Z digest=sha256:5d599485f04baf92e9b3724417831c0d8ffd7aaa192763931acd165ad130a772

Observation df6db490-59c9-4bfb-ade0-61a955f8b45a · outbound

This paper cites https://doi.

Bidirectional Typing https://doi

Reference 242

Resolution
verified exact
doi, observed 2026-08-14T13:08:05.022230Z

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=2026-08-14T13:08:04.833007Z digest=sha256:4863f8304fa9e57a706f78c51ec15eedb1ea732ded8ad54054a7a2bf4e87e6dc

Observation 9b27103b-7e89-428d-860c-a4cdf2a09bdb · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 1969

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:08:05.800373Z

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=2026-08-14T13:08:04.813559Z digest=sha256:bd42357f7bc8e75ef85364ca5aa97bb75f8377e672d2a5b5f8299975c5e214f7

Observation fcbefb56-9b5f-403c-aab8-bcf8c416f3b0 · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 1978

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:08:05.720978Z

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=2026-08-14T13:08:04.848226Z digest=sha256:fc03389d831934b5405f4a3a3ce4d25a40d1f991bed78562686a30674e636869

Observation 805bb86e-af4f-4fa7-812d-db9cbb433368 · outbound

This paper cites Journal of Symbolic Logic 48, 4 (1983), 931–940.

Bidirectional Typing Journal of Symbolic Logic 48, 4 (1983), 931–940

Reference 1983

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.867896Z

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=2026-08-14T13:08:04.769466Z digest=sha256:f71b29e80c15b495be7d205212cbe663f5bb458bee8a5b7fef3966ce80fa726a

Observation 91b71ba5-1c82-42b8-9660-189ecdee149c · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 1985

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:08:05.787508Z

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=2026-08-14T13:08:04.827391Z digest=sha256:4ba52d2097a8263f4c7595845390bd3581c9a5944bbb2c053971c1f312695e10

Observation f5b1508c-8399-49fa-962a-d7c183993c21 · outbound

This paper cites Theoretical Computer Science 44, 0 (1986), 51–68.

Bidirectional Typing Theoretical Computer Science 44, 0 (1986), 51–68

Reference 1986

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.748787Z

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=2026-08-14T13:08:04.841379Z digest=sha256:88e32f64644f6f42593bc8e770293f3fa9fadfa3f7d477f41aad8e5b2347fd38

Observation 62e0ac74-51ae-4ef0-8917-6acfcbe12ee2 · outbound

This paper cites Technical Report CMU-CS-88-159.

Bidirectional Typing Technical Report CMU-CS-88-159

Reference 1988

Resolution
verified exact
raw_fallback, observed 2026-08-14T13:08:05.339957Z

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=2026-08-14T13:08:04.890051Z digest=sha256:841bc3a518f37996c97dc5a229feb302078e85780c2c3b7abdbe731e755a7ff3

Observation d5629a3a-c295-440c-931a-ebb12b26ab69 · outbound

This paper cites ACM Trans.

Bidirectional Typing ACM Trans

Reference 1994

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.735403Z

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=2026-08-14T13:08:04.844882Z digest=sha256:f5e990daab718d0b5872966a2bb357d6f35a41fa1d5c36a614fdd986d743f41f

Observation c8e5cc71-7ca7-4fc0-994a-f5c4d00025f6 · outbound

This paper cites Science of Computer Programming 26, 1–3 (1996), 167–177.

Bidirectional Typing Science of Computer Programming 26, 1–3 (1996), 167–177

Reference 1996

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.842729Z

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=2026-08-14T13:08:04.782664Z digest=sha256:4f87ceed455f86ad83e1224487eab6831c97c6b47d82e6875dc45e0d15a6ec7a

Observation af5ab5a0-9f14-4171-8490-e42440ef7c90 · outbound

This paper cites ACM Trans.

Bidirectional Typing ACM Trans

Reference 1998

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.768242Z

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=2026-08-14T13:08:04.837503Z digest=sha256:7e3f8b1e18c61179fef2fbcca9f7920d63b01f928d5374acc5c735d678d7fa2e

Observation 9788ad9e-ffdf-4ebc-8a8f-6fdbcc304c16 · outbound

This paper cites ACM Trans.

Bidirectional Typing ACM Trans

Reference 2000

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.611913Z

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=2026-08-14T13:08:04.886112Z digest=sha256:5be6cea97cd1ea01e78854b7ef52d9088e3b32a8e3466c92a6a36d5f1063dcf3

Observation 01738948-70cd-499d-a705-6e3fc27eb1dc · outbound

This paper cites Mathematical Structures in Computer Science 11, 4 (2001), 511–540.

Bidirectional Typing Mathematical Structures in Computer Science 11, 4 (2001), 511–540

Reference 2001

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.626093Z

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=2026-08-14T13:08:04.878242Z digest=sha256:bf516718963fa44d9918cccf5f9876be5609e4f9aeb52e787dddd2915e4f5126

Observation 852b7627-4e91-4806-9b7b-7fda419f42dd · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 2003

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:08:05.854007Z

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=2026-08-14T13:08:04.777341Z digest=sha256:55f7faef9c1312ad418b550d36b66839f6a468caf229371f2f9e5167defba0cb

Observation 240d283b-6bb9-4480-9f04-ec889d94a745 · outbound

This paper cites Lecture notes for 15–317: Constructive Logic, Carnegie Mellon University.

Bidirectional Typing Lecture notes for 15–317: Constructive Logic, Carnegie Mellon University

Reference 2004

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.679193Z

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=2026-08-14T13:08:04.861206Z digest=sha256:2693e720cfd56cbef17a27a1eee76e33c3fdd864aff8099b928a69ff91ddadba

Observation 8684b046-2a95-4fa8-b91e-b7a379b06e56 · outbound

This paper cites In Proceedings of the Eleventh ACM SIGPLAN International Conference on Functional Programming (ICFP ’06).

Bidirectional Typing In Proceedings of the Eleventh ACM SIGPLAN International Conference on Functional Programming (ICFP ’06)

Reference 2006

Resolution
metadata mismatch
raw_fallback, observed 2026-08-14T13:08:05.187034Z

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=2026-08-14T13:08:04.936402Z digest=sha256:e278fc7ed44b7779d047a27dbd6fe970cfc0953c667b3a8c27d4c9a8682b5bfe

Observation 3abc60af-d126-4c65-bd9d-c47ba9048de3 · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 2007

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:08:05.693411Z

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=2026-08-14T13:08:04.856637Z digest=sha256:09dbcafd5c50d383f0c5b3dc4c509e15a6d94dabd360cd0a20a2b705c1db9701

Observation 4ca6f917-a14e-4f03-8131-45785f5a9462 · outbound

This paper cites ACM Trans.

Bidirectional Typing ACM Trans

Reference 2008

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.709179Z

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=2026-08-14T13:08:04.852231Z digest=sha256:957ba944dba1d08ff6ed5d5c5688362dd7216a7bb1e2bafb7692d1aa9dd5ff87

Observation b8b2b744-fd03-41ba-b7df-29267605e7a3 · outbound

This paper cites In Proceedings of the 36th Annual ACM SIGPLAN- SIGACT Symposium on Principles of Programming Languages (POPL ’09).

Bidirectional Typing In Proceedings of the 36th Annual ACM SIGPLAN- SIGACT Symposium on Principles of Programming Languages (POPL ’09)

Reference 2009

Resolution
unresolved
no resolver link, observed 2026-08-14T13:08:04.818323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:08:04.818323Z digest=sha256:8f0d3ee6852de0bcdae38876fccfa8af6da54a7e8cebc0feb7e42f5e308262d2

Observation bc0ffd96-b4bf-41fd-a4d0-bcf96c5249d5 · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 2011

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:08:05.526984Z

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=2026-08-14T13:08:04.932096Z digest=sha256:338bc0f297762b2835788ca8aea892d08b2c32acfb0868afb3dc1e5986a96d29

Observation 97f004a2-ad89-4bfe-ab92-ea883026b3ff · outbound

This paper cites Logical Methods in Computer Science 8 (2012).

Bidirectional Typing Logical Methods in Computer Science 8 (2012)

Reference 2012

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.567807Z

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=2026-08-14T13:08:04.898536Z digest=sha256:1825b043eb2548a978b80a9fb8ec7b27d997f1c9e3597f6c5595432c20665452

Observation 8f9855d7-cb95-49f9-950b-cc5413c5d0ab · outbound

This paper cites Complete and Easy Bidirectional Typechecking for Higher-Rank Polymorphism.

Bidirectional Typing Complete and Easy Bidirectional Typechecking for Higher-Rank Polymorphism

Reference 2013

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:08:05.482458Z

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=2026-08-14T13:08:04.797947Z digest=sha256:c1c9f48d6d41220a9fa4f6ebba235ad66b9699f5295ca394f76019e5d3f12db6

Observation 18243a9c-466e-4b01-a3f9-1089c4054fea · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 2014

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:08:05.831455Z

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=2026-08-14T13:08:04.788942Z digest=sha256:15bfe30df8f41395abb886f75efd92c885f6106b0ae9c595aa016e5fccc86537

Observation 7a01194c-8da7-475a-b6d4-6a89430356fd · outbound

This paper cites Elaborating Evaluation-Order Polymorphism.

Bidirectional Typing Elaborating Evaluation-Order Polymorphism

Reference 2015

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:08:05.511168Z

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=2026-08-14T13:08:04.793407Z digest=sha256:03391cd45c9bc21dc49fd9e4890f3524905db3c2e2d6dda3c947e6fc67e966f4

Observation e8222d82-cb33-4a3a-a11e-33e3bfd6a4b6 · outbound

This paper cites Electronic Notes in Theoretical Computer Science 332 (2017), 149–168.

Bidirectional Typing Electronic Notes in Theoretical Computer Science 332 (2017), 149–168

Reference 2017

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:05.813736Z

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=2026-08-14T13:08:04.808375Z digest=sha256:59c84e7eaf0bde02dd1b35684dd4c1cda00f39451ad5d0a57fa944e113ff09a2

Observation aab61819-fd8c-4876-b06d-4ab5a403e184 · outbound

This paper cites https://doi.org/10.1145/3192366.3192389 Wilfried Sieg and John Byrnes.

Bidirectional Typing https://doi.org/10.1145/3192366.3192389 Wilfried Sieg and John Byrnes

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-14T13:08:04.915610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:08:04.915610Z digest=sha256:fcd6100fd11b612c2fee4e9f1569a2619e53178ddce60d60ad44760ece1ebc1c

Observation a03f0d99-c66d-4df2-81aa-33e40e854720 · outbound

This paper cites Sound and Complete Bidirectional Typechecking for Higher-Rank Polymorphism with Existentials and Indexed Types.

Bidirectional Typing Sound and Complete Bidirectional Typechecking for Higher-Rank Polymorphism with Existentials and Indexed Types

Reference 2019

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:08:05.451163Z

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=2026-08-14T13:08:04.801941Z digest=sha256:f670f5cfdc7a919ebea7668768d8aaaed7df311fe4762efe5a1e2ff8f489f169

Observation f022cd13-947c-48ef-84a3-ffde5995118b · outbound

This paper cites an unresolved cited work.

Bidirectional Typing Unresolved cited work

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-14T13:08:04.906465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:08:04.906465Z digest=sha256:a01c28075596a32e7b164446579672c508934fbd0a5c315aa6dc6ae04e68c163

Pith citing papers

No inbound Pith citation observations are available.