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Paper Citation Record · LEDGER

Phase Transitions in Decision Problems Over Odd-Sized Alphabets

As of 21 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 0 inbound Pith citation observations for arXiv:2505.09282.

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

pith.paper-citation-record.v1
2505.09282 v1

Coverage vector

measured 68 of 68 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:43:17.092404Z

measured 68 of 68 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

68 of 68 outbound references displayed

  • verified exact4
  • verified fuzzy32
  • unresolved31
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 41014f5d-edfa-4798-a126-fbaead01b371 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:18.059823Z

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=2026-08-15T21:43:16.793090Z digest=sha256:33c124960bb6513fcd314d2961b93b5e042ad92e5918ca1994e20ce7b06ab701

Observation 337b4c6f-f374-41d7-82a2-17fe7b9d8f9a · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:18.045750Z

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=2026-08-15T21:43:16.798594Z digest=sha256:68f1ba5d44a02355672ad42a52f5a6dab2c0537afe3f29e5319e693989effd58

Observation 303c1c03-080c-4c58-94bb-9a243ead59c9 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 3

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T21:43:18.034907Z

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=2026-08-15T21:43:16.803231Z digest=sha256:eb8cc5f9769b175961b57badc682a415ad2656991bd102ef613b9cb1ed11af39

Observation 2bd9ff31-3a3c-4803-afe8-5ad386f8aeda · outbound

This paper cites This can occur, however, only for at most an exponentially small fraction of strings.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets This can occur, however, only for at most an exponentially small fraction of strings

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:18.023647Z

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=2026-08-15T21:43:16.808406Z digest=sha256:770f6c255b47b5f26dee4fdce2d9429b1c7839d678e0fd63649b41b8bed0475d

Observation 3134bfd5-5022-413a-a330-73d4cf1a2361 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:18.011598Z

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=2026-08-15T21:43:16.818742Z digest=sha256:3c375184ea21a5aabb0518f194415dbecf5c1ee7ee632e0be5bf7edc1af6d60a

Observation a6786f07-39b2-4ec2-aea5-a4e40fe8e968 · outbound

This paper cites Example Functions Meeting the Requirements ofPoly The condition in Eqn.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Example Functions Meeting the Requirements ofPoly The condition in Eqn

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:18.000376Z

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=2026-08-15T21:43:16.823536Z digest=sha256:e60cf757cef678b2562dd272432cd13ad7ecb6d8b644bd552ed1af752a4e5c05

Observation 8c15cc25-1856-4583-aa93-ccac92d6d484 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.988001Z

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=2026-08-15T21:43:16.827928Z digest=sha256:9e7957f1427db157068f81e1b2a2bb466424b81623aa3ed1cbed70dd6481a795

Observation 27285e9c-6d6a-4aa8-a1b2-55dfb8d7bc28 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.976740Z

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=2026-08-15T21:43:16.832125Z digest=sha256:d28c551ee217d305705ee44587856e45d2669b37b1ac34f0be361cf7396e463f

Observation 98364264-5ff8-4fed-91f9-a1e06738a9b7 · outbound

This paper cites Call the outputs{S j} |Pp| j=1 and assumeS 0 is the BQP-device’s solution top.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Call the outputs{S j} |Pp| j=1 and assumeS 0 is the BQP-device’s solution top

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.964684Z

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=2026-08-15T21:43:16.837130Z digest=sha256:40c8f893b288112ce68fb473dca1df53ea982ed666e6119359a95a08705c14ff

Observation fb0c33fa-d9cf-4cac-b098-40438ac7416e · outbound

This paper cites ACKNOWLEDGEMENTS The author acknowledges the support of the Quantum Ad- vantage Pathfinder (EP/X026167/1).

Phase Transitions in Decision Problems Over Odd-Sized Alphabets ACKNOWLEDGEMENTS The author acknowledges the support of the Quantum Ad- vantage Pathfinder (EP/X026167/1)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.952524Z

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=2026-08-15T21:43:16.841915Z digest=sha256:d839546a93dad87be785cae061dd99b6672c4476f6d944f6410d7578a61d437b

Observation 15000058-c65c-465d-ad95-dd3bcb299135 · outbound

This paper cites Arora and B.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Arora and B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.941472Z

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=2026-08-15T21:43:16.845632Z digest=sha256:7ea54ee5726292dbfca9f5296a094b93defa31438860a7534f8409bdca12dd7c

Observation f8ea87cb-8563-4aaf-82ad-b0a9e2b4ba71 · outbound

This paper cites Dean, Computational Complexity Theory, inThe Stanford Encyclopedia of Philosophy, edited by E.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Dean, Computational Complexity Theory, inThe Stanford Encyclopedia of Philosophy, edited by E

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.929575Z

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=2026-08-15T21:43:16.849822Z digest=sha256:923dbb4a9f6d0808234d7c206ae9534d9d7e773c7620efe23ddc5c7352d2dc17

Observation 03e90b87-53c6-4c0f-855c-7abed2a0161a · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.918057Z

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=2026-08-15T21:43:16.853884Z digest=sha256:79efee3c310e353b8d0ffe8e9b17d2411d7dfbc8b371fe7d86ddbeecba44476f

Observation 4697b77b-3c66-48bb-a334-d77b47afbf2b · outbound

This paper cites Bernstein and U.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Bernstein and U

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.906812Z

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=2026-08-15T21:43:16.858856Z digest=sha256:95fc007c1131b391335c658c4cb115f0782715882d94a3b82f5dfdf20d736173

Observation 9a24da6f-4798-4066-b689-24ce5eaacacf · outbound

This paper cites BQP and the Polynomial Hierarchy.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets BQP and the Polynomial Hierarchy

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:43:17.258397Z

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=2026-08-15T21:43:16.863346Z digest=sha256:d343e22c33da7c0da17d2e7a4075378c7359ec8d0fdfc75678939da809b62b22

Observation 2a3e71b0-71ce-491f-a35e-65194910e847 · outbound

This paper cites Edmonds, Paths, trees, and flowers, Canadian Journal of Mathematics17, 449–467 (1965).

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Edmonds, Paths, trees, and flowers, Canadian Journal of Mathematics17, 449–467 (1965)

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-15T21:43:16.868364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:43:16.868364Z digest=sha256:d4452cf9c6a5399950415e4a6445cbac97893869b398ae8d506cfb5150f04420

Observation ce585f24-9128-431e-944a-27da8c86ef53 · outbound

This paper cites Cobham, The intrinsic computational difficulty of functions, inLogic, methodology and philosophy of science, edited by Y.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Cobham, The intrinsic computational difficulty of functions, inLogic, methodology and philosophy of science, edited by Y

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.887571Z

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=2026-08-15T21:43:16.873566Z digest=sha256:fecacd2e233d44326db2bb9d841cd7c10a59876bdcb3b3819a58fd91e22ffc20

Observation a20b77a5-b9b9-4f5e-b4d4-44daf8a7c66d · outbound

This paper cites Sipser, Introduction to the theory of computation (Course Technology, Boston, MA, 1997) pp.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Sipser, Introduction to the theory of computation (Course Technology, Boston, MA, 1997) pp

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.875350Z

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=2026-08-15T21:43:16.878173Z digest=sha256:c17b08233ad6e7de42b997cfbc35bc4fa6dd0214a637433beb94c4439b10bfab

Observation bf1c986c-b467-4cfa-9c3b-5bfc68b29216 · outbound

This paper cites Sipser, Introduction to the theory of computation (Course Technology, Boston, MA, 1997) pp.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Sipser, Introduction to the theory of computation (Course Technology, Boston, MA, 1997) pp

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.863491Z

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=2026-08-15T21:43:16.882626Z digest=sha256:9396a22bf7d434fc4d432a72b933f98deadcb2b838b60923dcba74b93e1a5881

Observation 1a9a3099-c4d6-4b98-a800-c07a5552066f · outbound

This paper cites Sipser, Introduction to the theory of computation (Course Technology, Boston, MA, 1997) pp.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Sipser, Introduction to the theory of computation (Course Technology, Boston, MA, 1997) pp

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.853092Z

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=2026-08-15T21:43:16.887350Z digest=sha256:b5a6809ac5eeaa0427b69c44e2e04a1048223e84ee847b75483c6512defa5c0a

Observation a400b077-9890-4616-a99c-c81ed1a75c17 · outbound

This paper cites Dempsey and C.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Dempsey and C

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.841978Z

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=2026-08-15T21:43:16.892325Z digest=sha256:cba6703554ce353383fbdc85dc306d04048e5576ee43454dab3b8fee36f9a0ab

Observation 2d7926c6-fcaa-492c-ae70-e851a3ed8fad · outbound

This paper cites Achlioptas and E.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Achlioptas and E

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.831440Z

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=2026-08-15T21:43:16.897036Z digest=sha256:5b43087eb5083114f8a4f8035d735cc7e1d75a5b61d3206ab15eea61712fce5c

Observation fc24de48-5edd-48c1-9650-a15e9999577b · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.820455Z

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=2026-08-15T21:43:16.902139Z digest=sha256:0cfc9c0973a13cff10c9fec77199f81945dd2026fa73e6d7f3184deaaf368837

Observation 855cee97-f218-4452-bdef-15a1a99a8650 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.807710Z

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=2026-08-15T21:43:16.907059Z digest=sha256:d09a41b028742fc1a7f1ea7304933298f1146a482422053a52a03b6272f62ca8

Observation cf570edc-08d1-4ae7-871e-fbb6f7203d53 · outbound

This paper cites Galam, Y.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Galam, Y

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.793981Z

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=2026-08-15T21:43:16.911582Z digest=sha256:f980712bcee06349d9fc5f5d4a2da65efbf72c2d6e59d8ec8e0bd648ddad0075

Observation 5bfc543c-ac73-4f0c-aff0-252afcd26d11 · outbound

This paper cites Explaining the Ubiquity of Phase Transitions in Decision Problems.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Explaining the Ubiquity of Phase Transitions in Decision Problems

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:43:17.242845Z

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=2026-08-15T21:43:16.916407Z digest=sha256:a89ed029c2fd17850ca8a7343e1e332d55169f7edd350c63c469a866368f339e

Observation cac7dd40-6364-4bfc-a677-d6fd7c4c7281 · outbound

This paper cites Schawe, R.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Schawe, R

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.779605Z

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=2026-08-15T21:43:16.921367Z digest=sha256:31c888c92148226957bc8eb0552c41f79ea8bb9419e3b0762e7cfc3bfbc026ea

Observation d8211632-85c4-432e-a33b-718a0e7d1600 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.767815Z

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=2026-08-15T21:43:16.926267Z digest=sha256:f7c0f4e996a7898ea3598b560f3c829dd8ec5de4304f4ed21d87baadcfdbb8d1

Observation 8c2b2a77-fdf0-4f22-9566-310a461f4502 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.756289Z

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=2026-08-15T21:43:16.931195Z digest=sha256:6cf750000570869a28e51551e6e5c16b1fd3dc6f35e104539641f7c19a3be903

Observation 109ed836-5f94-4bdb-b44f-68403d253357 · outbound

This paper cites Hook and H.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Hook and H

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.745142Z

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=2026-08-15T21:43:16.935743Z digest=sha256:a6f04113b4d30743285d01ca821e0d3aff56b9c37cc1a8e3d29d20840c788053

Observation 6a3e8974-8b1e-4f5f-9811-a58abe9cd741 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.734599Z

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=2026-08-15T21:43:16.940470Z digest=sha256:0cb8af69ffbb79b5dd92273a640a2743b30f721c5f236097d2a845c1dedb5670

Observation aa8199e9-fe92-425f-808a-9c11971d1697 · outbound

This paper cites Hook and H.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Hook and H

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.723602Z

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=2026-08-15T21:43:16.944457Z digest=sha256:e84f38c0d21caa09405da6828bc47e395026c06376db8df8a1fbe60aafed1ea2

Observation 3d6cdecd-12ac-40ad-a478-00b01ed0f8f8 · outbound

This paper cites Hook and H.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Hook and H

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.710263Z

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=2026-08-15T21:43:16.949503Z digest=sha256:3b3805b2be06aca5cd2accae07c3203e4961638e34c0da49066f41f6cee9a75e

Observation edfc1473-5f1b-4318-a380-21c7945e7f30 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.699092Z

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=2026-08-15T21:43:16.954114Z digest=sha256:a31260689c370a5e6c25347f9a34dc59a99801f9873dd7d17fe244056bf257ad

Observation 3e2ba56b-b317-4e3f-913b-c44efe23911a · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.687697Z

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=2026-08-15T21:43:16.959907Z digest=sha256:8b582383cab5794e719e6f948bb98be2913a4d310879c31a6b816748cc5fa6fb

Observation 18a40a83-f995-46c3-b895-5c020099cc23 · outbound

This paper cites Farag ´o and R.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Farag ´o and R

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.675917Z

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=2026-08-15T21:43:16.964592Z digest=sha256:699f90c86ad1abf1bec167b66d501c391cda4e3b676b9adc9bd2af374fd7a78a

Observation bb2e71b6-7da1-43c6-9985-8a45647ff0a3 · outbound

This paper cites Cai, Cs 810: Introduction to complexity theory.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Cai, Cs 810: Introduction to complexity theory

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.663113Z

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=2026-08-15T21:43:16.968573Z digest=sha256:ef633d67ec246792d1c8093b993eb4ea9bb00484bfcb41cd38ba4d3cb3eb415d

Observation 150c29d6-53e8-42a8-a65a-cd58b1cd713f · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.651675Z

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=2026-08-15T21:43:16.973687Z digest=sha256:31a108c14e99b9d183cdb3bfcf339e5a9f4effb810ecbfffe6c09fe7ae9a7d70

Observation c7b077ce-384e-4efa-9baa-13b0a8494396 · outbound

This paper cites Extensively Not P-Bi-Immune promiseBQP-Complete Languages.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Extensively Not P-Bi-Immune promiseBQP-Complete Languages

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:43:17.225777Z

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=2026-08-15T21:43:16.978668Z digest=sha256:a69dd7632051adc64a2fa42a88467da657a95e2b80b971c5c26aae0a84c98b0f

Observation f81c7842-bb56-47be-a1f4-f46ece5e78c7 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.640309Z

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=2026-08-15T21:43:16.983228Z digest=sha256:b038bb454444b17f4ee47127a677ac9b5bd6bb01e402272f666f3d063d4510b5

Observation c15c6adf-64aa-49c6-822b-d8c639e7f39c · outbound

This paper cites McKague, Interactive proofs forBQPvia self-tested graph states, Theory of Computing12, 1 (2016).

Phase Transitions in Decision Problems Over Odd-Sized Alphabets McKague, Interactive proofs forBQPvia self-tested graph states, Theory of Computing12, 1 (2016)

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-15T21:43:16.987150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:43:16.987150Z digest=sha256:a62c0a0de72edde33eba7dccc014766940169997dad827f7f31dd71639d8ee2d

Observation 0b48b629-748a-44f4-b990-86edf6b987b6 · outbound

This paper cites Hangleiter, M.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Hangleiter, M

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.623349Z

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=2026-08-15T21:43:16.991986Z digest=sha256:fea4d2cc8c06be10f166cf9365d1ee8088bfbf9cf87157e2a784ca9ac53c74a9

Observation a13819bd-0e4c-4eed-8fa3-dced4932d401 · outbound

This paper cites Kashefi and P.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Kashefi and P

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.611941Z

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=2026-08-15T21:43:16.995692Z digest=sha256:59bac39206c54cb7192dbe5ddb2e1d7acfe6d08a66074d3cb5c3e24122106d2f

Observation f656085b-b6cc-48eb-8511-87b3b9c63019 · outbound

This paper cites Gheorghiu, T.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Gheorghiu, T

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.599599Z

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=2026-08-15T21:43:16.999752Z digest=sha256:29b876307aefb36a93ba16530ff02d747307ec272127bdb15dc64644793a84b4

Observation 0c041f32-cf55-4534-a670-f256b6187c8f · outbound

This paper cites Ferracin, T.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Ferracin, T

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T21:43:17.003972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:43:17.003972Z digest=sha256:624d78b81f65e34aea5a9fed344b3e99380c234f76d36072af16b850e2ffe5d2

Observation e9b4b5e1-8bcb-487d-b267-517ddeaa7996 · outbound

This paper cites Markham and A.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Markham and A

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.484524Z

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=2026-08-15T21:43:17.007788Z digest=sha256:3e80d51b403b022ab33bc9bfa8154436eabe4852efdab50c4cf5e5acbdfb2cb7

Observation 055ed986-ab3d-4c35-a65c-245391ed7300 · outbound

This paper cites Ferracin, S.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Ferracin, S

Reference 47

Resolution
verified exact
doi, observed 2026-08-15T21:43:17.126156Z

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=2026-08-15T21:43:17.011576Z digest=sha256:60d168b6ee0c897b6651eac3d5d4d4dfdf0f2018a3687064534f6849083b4360

Observation 6fb8d578-fa52-4be9-a999-15c12f80145b · outbound

This paper cites Jackson, Accreditation against limited adversarial noise (2025), arXiv:2409.03995 [quant-ph].

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Jackson, Accreditation against limited adversarial noise (2025), arXiv:2409.03995 [quant-ph]

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T21:43:17.015466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:43:17.015466Z digest=sha256:a0631bc5a35e1e8481d6b40ce47147806bc4a3f8bd043938a92a553287487799

Observation 2160e144-e263-4c29-bc60-754a439e6f68 · outbound

This paper cites Shaffer, E.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Shaffer, E

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.472256Z

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=2026-08-15T21:43:17.020284Z digest=sha256:6e0f29039af20560f95e7bda07bd9d4d67d3d4de3d72f681df516a51c30b2646

Observation d897774b-ec5f-465a-a8e1-7368ff989e75 · outbound

This paper cites Jackson, T.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Jackson, T

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-15T21:43:17.024060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:43:17.024060Z digest=sha256:b892a4f12a3e13c39f596594a1a02e4780ceb49033571df5724da668294919c5

Observation d3108016-b2b8-46d3-a64c-b27f611061b3 · outbound

This paper cites Improved Accreditation of Analogue Quantum Simulation and Establishing Quantum Advantage.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Improved Accreditation of Analogue Quantum Simulation and Establishing Quantum Advantage

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-15T21:43:17.027652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:43:17.027652Z digest=sha256:a52acce84f1b6304701f470f40d8fca68473077a29db3ea32f43a234b517ecd9

Observation f953b2d9-726e-4a29-817f-538b5f688ac8 · outbound

This paper cites Arora and B.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Arora and B

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-15T21:43:17.031959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:43:17.031959Z digest=sha256:550abe785cb2a054e4cfdc7dac71668dfc3f2e1390bb5be66b1992decd0f994d

Observation a8e6e785-88c4-4353-a213-16f784d3c5fc · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.446543Z

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=2026-08-15T21:43:17.035584Z digest=sha256:3acb221860049c5b46c3bba16fd3853aa7754f1a1ad319baee69a4163ec935c5

Observation 199d3a3f-c9e9-48f0-85c3-c6d91f6aaa8a · outbound

This paper cites B3, is zero-indexing.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets B3, is zero-indexing

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.434873Z

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=2026-08-15T21:43:17.039375Z digest=sha256:387179b1f15d432b9c85f93b2f5da9e59b2bb49e2d34182e08e11d4a43163e1b

Observation 67db85fc-3427-49ae-9060-9a4896e7ffe7 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.423672Z

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=2026-08-15T21:43:17.043087Z digest=sha256:5f93b22ec371f67276203d7a719c2fe386bcaaad00588e2964bcc8ab7b74add6

Observation 19401c4b-58a3-421c-9684-8efd39fa4795 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.413065Z

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=2026-08-15T21:43:17.046672Z digest=sha256:3f2c3e51919222965d06390f9674cad101bf8f33368a93241b4ec9c5a2aaac7a

Observation af48f1d5-5d58-470e-b3b6-28d813c55ad7 · outbound

This paper cites 4 suffices as the key point is the symmetry of the relationship.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets 4 suffices as the key point is the symmetry of the relationship

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.401210Z

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=2026-08-15T21:43:17.050027Z digest=sha256:2332f616bfc3887357139c9a153bdf90d6605c7272c2b65c9f66016d28d5b69f

Observation 37bfeb9d-1032-41e7-9583-80401f48bfd6 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.389615Z

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=2026-08-15T21:43:17.053654Z digest=sha256:c523fb898de7966261cbe9dc7383cb28300e227f8cf9884f49f1969526856968

Observation e8087a69-995d-4f9e-ad33-2735cca3c2e2 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.378409Z

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=2026-08-15T21:43:17.057364Z digest=sha256:ea58e6f0d64aa47829e89003af22bf31ca281e3bd4a2a77a7a7bb7754cd7a947

Observation 557761a9-fe09-4350-97dc-2ec9c4c5c890 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.366231Z

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=2026-08-15T21:43:17.061372Z digest=sha256:6d2961f0aee293d8dface6acc428e70fefd1d079c367d58c1dbaf60e0fb243e5

Observation 1866ba08-9963-46a6-9be5-73dee78c66e9 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.355028Z

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=2026-08-15T21:43:17.064808Z digest=sha256:a5793c026f018b2c56b7b29bbc3476c73e22e246175ed7f6b3c24766d66a9191

Observation bf479088-d7fd-4444-bbe5-9eb7f01a9c30 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.342407Z

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=2026-08-15T21:43:17.068321Z digest=sha256:1094883da59c60e85616f3c8095e6b2964a490a0cf397b732a7840b9450d7bcb

Observation 7aa880d9-8d37-4529-bdef-f5b1048b2376 · outbound

This paper cites Antonopoulos, Computational complexity graduate course.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Antonopoulos, Computational complexity graduate course

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.330739Z

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=2026-08-15T21:43:17.071979Z digest=sha256:5b479de40c28129429d13b8356d6e2412e254aee16636de52b232d9b06e6440a

Observation 4b8e228c-7f8a-4c82-81e4-630a6fb84907 · outbound

This paper cites additional property.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets additional property

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.318152Z

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=2026-08-15T21:43:17.076262Z digest=sha256:40c9a1c4515cd08fab5d30c268b0eb659a4bc832051fe0794adc398465f3cc7e

Observation 2b29199b-ac8c-49a7-9dd7-118005eaf036 · outbound

This paper cites does not return⊥ for).

Phase Transitions in Decision Problems Over Odd-Sized Alphabets does not return⊥ for)

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.306022Z

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=2026-08-15T21:43:17.080414Z digest=sha256:60e8e6a247cfe5ee006fed9bcc53b31ab4f5487206df8864888a3762178e09a8

Observation 410272c7-f924-4b9a-8bd8-680c5ab6c8b6 · outbound

This paper cites an unresolved cited work.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:43:17.293483Z

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=2026-08-15T21:43:17.083943Z digest=sha256:73d805f0b836774c939c805d98150291baa2fac45b086737d48c2c78789ad2fe

Observation 475c1c87-40b4-4ea6-ac27-ce72ec3cdc4b · outbound

This paper cites B33, lete 0∈B ϕ.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets B33, lete 0∈B ϕ

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.282544Z

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=2026-08-15T21:43:17.087655Z digest=sha256:d68d00132f1b15ad4ef424fab74015eff54a9dbccedf5b55a8e7208fe9960044

Observation 732353cc-dcf7-4301-a134-134d68226d51 · outbound

This paper cites filling up.

Phase Transitions in Decision Problems Over Odd-Sized Alphabets filling up

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:43:17.270793Z

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=2026-08-15T21:43:17.092404Z digest=sha256:d2ab7670f465981ea5b4070054f803b219d2f054cafe829277c6cad09474ec78

Pith citing papers

No inbound Pith citation observations are available.