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Paper Citation Record · LEDGER

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading

As of 20 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2505.13664.

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

pith.paper-citation-record.v1
2505.13664 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:15:10.153779Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:10:46.726958Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T13:10:48.983847Z

Reference resolution

51 of 51 outbound references displayed

  • verified exact0
  • verified fuzzy39
  • unresolved11
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a5ec224-3049-44be-9113-2ed5cc348351 · outbound

This paper cites This does not change the number of trees in the forest.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading This does not change the number of trees in the forest

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:11.099461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.900037Z digest=sha256:f5d39846d1dbe7aa6dc8d1afa4e8fda9d44619352636386768820789a09e2b5a

Observation dd1ab62e-1eb6-4911-ad89-55cbb6c44ea3 · outbound

This paper cites F ∈F n,k =⇒ F ∈T n,k: Assume towards a contradiction that ∃F : F ∈F n,k∧F /∈T n,k.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading F ∈F n,k =⇒ F ∈T n,k: Assume towards a contradiction that ∃F : F ∈F n,k∧F /∈T n,k

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:11.131371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.889457Z digest=sha256:707e664143fc13de4767f016b22e9536f5f4c5be25206ef449ef2e75371d6169

Observation b8b6fe2e-fe0e-4a5e-8552-87c2c00c8da5 · outbound

This paper cites F∈T n,k =⇒ F∈F n,k: We can argue inductively that all our F∈T n,k are valid.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading F∈T n,k =⇒ F∈F n,k: We can argue inductively that all our F∈T n,k are valid

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:11.115897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.894748Z digest=sha256:1c87142ef661de200d21d621b74abc1f38266ba7a4bad0470ed0a938e12640b2

Observation 97806c79-d133-4988-a70f-da7842c37bee · outbound

This paper cites At each step, we ensure that the runs maintain sizes that are powers of two and that there is at most one run of any given size.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading At each step, we ensure that the runs maintain sizes that are powers of two and that there is at most one run of any given size

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.984217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.936866Z digest=sha256:5b9de8cd084405edc907ae9a1845d0cc8b5f0b69a2b0e8df95f3a36ca5b73318

Observation 253325de-c3ca-426f-992f-9d16f6beeac2 · outbound

This paper cites zero or more.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading zero or more

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:11.082551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.904932Z digest=sha256:90d7bf3fc5414707e1b3e4d10605e349a55d8525754baefbeda2ac38d508be5a

Observation 925bc67d-3b9e-4ae6-aa77-527c4ad927ab · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:15:11.066086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.909441Z digest=sha256:48a9ee4b26c18c44538aef1544b05b2d52f358948cc48f20e8e7dea3ee26c5b1

Observation da02a2f4-5023-4a0f-a8a2-22b177fa67ee · outbound

This paper cites vertical strip.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading vertical strip

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:11.050584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.914429Z digest=sha256:4b75624cd8cdfc07552c85163ad7aa9c00e5ef92adef2f5adcc68eca6efb7290

Observation 210e127f-5e43-4ea3-8c98-c9d83bbdf908 · outbound

This paper cites The prepro- cessing time is O(log 1) =O(1).

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading The prepro- cessing time is O(log 1) =O(1)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:11.034375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.920029Z digest=sha256:6fc70b8a4b56df99eb18b7ccdcd1280ea977f9137bb1daedb6250772e7a1fd8d

Observation d782f865-a30f-4e14-922c-8db389260da8 · outbound

This paper cites We rebuild the static data structure for this new run, which takes O(2 log 2) =O(2) time.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading We rebuild the static data structure for this new run, which takes O(2 log 2) =O(2) time

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:11.017852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.926810Z digest=sha256:882d709191671229a57a1dd75e9a4b495fea6087541c4d17085d0376c2143300

Observation d551dd6d-12dd-4e27-9c3c-b9688d545470 · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:15:11.001835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.932127Z digest=sha256:723c966a0cbfbd635db0f0a15c0057833eb6c1ad6f8d64288f3dede62a021a52

Observation 0adc9d39-7753-4d36-a418-199b36d755e7 · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:15:10.964561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.942035Z digest=sha256:ee828b04d081ec3e24e8b70f43810ff99ab1251ecc45a8bf6f93ace06dea2baf

Observation 2c8e8280-db00-419d-b3d4-99c62e2c44ac · outbound

This paper cites We implement the operations as follows.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading We implement the operations as follows

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.947619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.947091Z digest=sha256:538da0d3ec8a7031bc1f171c0dafc56bb0de6a055f0435730dbc3c8871fd50bf

Observation 0fdddf0f-1585-4e65-89f8-11916b65ef8a · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:15:10.931827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.952744Z digest=sha256:b00d58cd362ca362b073318d44d4ddc69689cdc15ec6a772b86802b24aab771c

Observation 4ea5d465-062a-47d4-81da-a745455189f3 · outbound

This paper cites This adjustment en- sures that deleted elements do not contribute to the final count.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading This adjustment en- sures that deleted elements do not contribute to the final count

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.917165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.958595Z digest=sha256:6a72c58d40681df0e9835e1ade2dc683fd85f68b6100d0b4c9fc4550e63c3e95

Observation 3ec5b709-c0c3-445d-af16-9b9d36f453e9 · outbound

This paper cites This can be rewritten as: ( P⊤−I)x = 0, where I is the identity matrix.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading This can be rewritten as: ( P⊤−I)x = 0, where I is the identity matrix

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.901248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.964370Z digest=sha256:7a0a1550e0d1521f2ee533e1c601108bcf999b429ee68920aafd47ac2a8abb61

Observation 0fdb6c34-dc45-43b2-aea2-3a38f9c7b8c4 · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 18

Resolution
parse uncertain
raw_fallback, observed 2026-08-15T20:15:10.885518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.970675Z digest=sha256:89fb0e48205f36cf46959435a13d6c3c7e1def976acc7ad851227f9e72ba62f1

Observation 127dcc04-a31d-4f32-8512-ccaa587473bf · outbound

This paper cites Therefore, the LP is: Minimize 0 Subject to ( P⊤−I)x = 0, x≥ 0, 1⊤x = 1.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Therefore, the LP is: Minimize 0 Subject to ( P⊤−I)x = 0, x≥ 0, 1⊤x = 1

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.870754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.976279Z digest=sha256:444da59cc3d503b9af28c4bc82acae63558bc1aa55d6c83badca8095f2880f9e

Observation f515f117-5203-4785-b494-ce660e29ef22 · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:15:10.850288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.983766Z digest=sha256:43d1653a4baaf4bf5c7c146d1c4323d1dc8b48d13f2fc0015833c7711ace1d02

Observation 06d254e4-3a82-4492-adc7-f7894a3223cf · outbound

This paper cites Since the first condition is assumed false (the LP is infeasible), there must exist a vector y satisfying the second condition.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Since the first condition is assumed false (the LP is infeasible), there must exist a vector y satisfying the second condition

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.832976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.990190Z digest=sha256:a2fdaf910e964cc57aedcecea28c4489a4f4671023444466d9d1ba06b239957d

Observation 3b7fa4b0-91bb-4437-bb41-1c65b462328b · outbound

This paper cites Master Solution Assign the value 0 or 1 with probability 1/2 independently to each input wire.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Master Solution Assign the value 0 or 1 with probability 1/2 independently to each input wire

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.809331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:09.996031Z digest=sha256:8da49e61f443755913a5db4cf0586decda85e4874eba0c229a7112cb8999e4ed

Observation 3b21a65c-2c12-4bc7-acca-b5c80d748632 · outbound

This paper cites For each OR-gateCj, the probability that all of its 5 input wires are 0 is: Pr(all inputs to Cj are 0) = 1− 1 2 5 = 1 32.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading For each OR-gateCj, the probability that all of its 5 input wires are 0 is: Pr(all inputs to Cj are 0) = 1− 1 2 5 = 1 32

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.789064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.002681Z digest=sha256:3b5ed999743d9f9b012e7f89b687e38c8a2e2bfdeb9d79b12b36636fade24535

Observation febd8267-338f-4c47-9ac9-198651e6b366 · outbound

This paper cites And the probability that Cj outputs 0 is: P (Cj = 1) = 1−P (Cj = 0) = 1− 1 32 = 31 32.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading And the probability that Cj outputs 0 is: P (Cj = 1) = 1−P (Cj = 0) = 1− 1 32 = 31 32

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.763993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.008211Z digest=sha256:40aa62291261fc6cb40ab36ca66556ff64ec20d32d9e75f7dc29424620b6f19f

Observation 4977e03f-1ec6-4476-861b-3195cc961672 · outbound

This paper cites Let this output be T0.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Let this output be T0

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.743821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.013905Z digest=sha256:ce3c5cdb0771c74f91492b9f787f4914337eed06cbbe35856aaea99ba54fd373

Observation dc24be93-5b44-44da-9264-6971f59b7579 · outbound

This paper cites Let this output be T1.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Let this output be T1

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.727806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.019288Z digest=sha256:5e00c60c6e80854afea944f360fed2c9e1d55f71c0b5e4764373f6df113d4668

Observation a1745a55-be42-42e8-8c92-72fb88c5316d · outbound

This paper cites Proof of correctness: Consider any input configuration S and its nega- tion ¯S (where each input is flipped).

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Proof of correctness: Consider any input configuration S and its nega- tion ¯S (where each input is flipped)

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.711383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.025853Z digest=sha256:b1fd711f47efe4816ea444641b7cdf93d4a873916b9490dafd0699aed17dc822

Observation 4de5ff3e-f1e8-4f57-ba44-f0f206ed94bc · outbound

This paper cites An edge (m,p )∈E exists if square m (a mushroom) and square p (a pepper) are adjacent in the pizza.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading An edge (m,p )∈E exists if square m (a mushroom) and square p (a pepper) are adjacent in the pizza

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.694213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.031919Z digest=sha256:eb62a68ffe0ec8325b333399cd044b51b0f13f6a140bc950b1f5953dfb3e07cf

Observation 58c45c03-dbf7-4b26-a1b0-0ad7e490ea92 · outbound

This paper cites Each perfect matching corresponds to a valid way to slice the pizza.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Each perfect matching corresponds to a valid way to slice the pizza

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.677459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.037825Z digest=sha256:7dc8167c3c7e6b288f0716e84891c528e5c2943979264f56136f9d3c89970641

Observation c2f7f514-7fdb-4409-997e-7d94e8ed71a8 · outbound

This paper cites Let P be the set of squares topped with peppers.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Let P be the set of squares topped with peppers

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.660763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.043116Z digest=sha256:d50284b2f35d7caa304e47017a974bf2fb98e8ab6d5f5a217eab2fd595ea8a68

Observation 28218c81-5fbf-4f72-8408-2e47682e228b · outbound

This paper cites We can use the Kasteleyn’s algorithm or Pfaf- fian orientation to compute the number of perfect matchings.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading We can use the Kasteleyn’s algorithm or Pfaf- fian orientation to compute the number of perfect matchings

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.638202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.048518Z digest=sha256:9f0f26cc038ae300b533b668964cf368b2038c8eabe6b9e2331015156e11c133

Observation 3b2e008b-66c0-40f5-994f-666bfb41e133 · outbound

This paper cites Use existing algorithms for counting match- ings in planar graphs.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Use existing algorithms for counting match- ings in planar graphs

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.620301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.053485Z digest=sha256:482026245b4ccb8e41eef6a15dafa73c9e418e2a522fe6a3550849ad805eca94

Observation bc9d4ff2-26f7-46ac-83ed-0a92f1cd0bee · outbound

This paper cites The toppings partition the vertices into two disjoint sets: • M ={Squares topped with mushrooms} • P ={Squares topped with peppers}.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading The toppings partition the vertices into two disjoint sets: • M ={Squares topped with mushrooms} • P ={Squares topped with peppers}

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.601588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.059437Z digest=sha256:d5a4742d0c796556708af136feaaabd9ff624d77e51a37b6ba4179028aacc375

Observation e19095bb-ba34-4f24-98a4-1bd2a37e64d6 · outbound

This paper cites However, for pla- nar graphs, and specifically for bipartite planar graphs, there exist polynomial-time algorithms.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading However, for pla- nar graphs, and specifically for bipartite planar graphs, there exist polynomial-time algorithms

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.583294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.065064Z digest=sha256:f0df2a0352fec9193c0dade0369e36c367e9ec8a0d1002190ca741d67110aa3d

Observation d0ff4182-49b1-42b9-8a0d-8ee8f3087f13 · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:15:10.563138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.071236Z digest=sha256:93cf2a3c344fd9577872d4ce56d05ccfc913cfc061103e7ec3e9b018f6cccec6

Observation 6b41e660-d55b-4133-b64e-540685fb2a8c · outbound

This paper cites Complexity: • Constructing the graph G: O(nm) (each cell checks adjacency).

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Complexity: • Constructing the graph G: O(nm) (each cell checks adjacency)

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.546445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.076241Z digest=sha256:3601b4ec748b9968b1b8d53f18ebfcef70673bf30b2849c78b87f09e9a0ebe39

Observation ed30b7c1-2cd6-4343-8459-8d94f80ac592 · outbound

This paper cites Orient the edges to satisfy Kasteleyn’s condition.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Orient the edges to satisfy Kasteleyn’s condition

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.524183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.082234Z digest=sha256:eeaee63561c05299be1713747780e92d25f9eee19b3ca0357c23f5d4400007fb

Observation ffa03cfa-450e-4e7c-b575-3b96b970cbf4 · outbound

This paper cites If the edge is directed fromv tou, setAuv =−1 and Avu = 1.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading If the edge is directed fromv tou, setAuv =−1 and Avu = 1

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.507019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.087766Z digest=sha256:bc4347c6254164c897b1f46ad0ea63e868ce3258ff751c1c88ff796fa53d3b10

Observation 8317e7c8-4216-4fcf-a8c8-6172c4f4c609 · outbound

This paper cites The number of perfect matchings is p | detA|.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading The number of perfect matchings is p | detA|

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.486215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.093590Z digest=sha256:7e1971efceffffe732ad3e6c5a94193111164c2b658c510dd3ab3f1e9faa1a4c

Observation cb382314-28f0-40ae-8592-a992360768b6 · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:15:10.460384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.098903Z digest=sha256:67ea15128e638c37881dd33eb65dc116261e3c4162977f8efa2d351ba0cdac48

Observation b4b881e2-e741-453b-b56e-e35b958a244d · outbound

This paper cites Substitute xij = 1 for all edges ( i,j )∈E to obtain the polynomial: q(y) =p(1,y ).

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Substitute xij = 1 for all edges ( i,j )∈E to obtain the polynomial: q(y) =p(1,y )

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.442336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.104225Z digest=sha256:35eba4a421ef8c1a23bf2b96664c0f98a01305256db69a709d4944902f2ebc85

Observation f12ec892-0939-4acc-af39-d62b8388d623 · outbound

This paper cites Perform polynomial interpolation to recover the coefficients of q(y) and determine the smallest degree dmin.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Perform polynomial interpolation to recover the coefficients of q(y) and determine the smallest degree dmin

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.423392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.109467Z digest=sha256:aff032895667e723612074d765e66e2daf25705e8a9a077e4e2792559b34e455

Observation 9b022ad7-513d-4326-b1ba-7ecef3bea4e2 · outbound

This paper cites Correctness: The determinant det(C +I) sums over all walks in the graph.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Correctness: The determinant det(C +I) sums over all walks in the graph

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.403796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.114563Z digest=sha256:229356a83f94324142df5b5ce0ae161158b444f03ce2cf6f818c25012ae308ce

Observation cf7d3006-2f52-424b-b16c-131680c1a5fe · outbound

This paper cites Set klow = 1, khigh =Dmax.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Set klow = 1, khigh =Dmax

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.383783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.119414Z digest=sha256:fc4fafb2857b4230739c5f21706044e4b56ff575db4eca771c3fb9137fdda14e

Observation f844e1d9-6b75-47c6-89d9-71d78b516494 · outbound

This paper cites (b) Compute qk(y) =q(y) mod yk.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading (b) Compute qk(y) =q(y) mod yk

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.359462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.124562Z digest=sha256:e47f10cc9890f31a78b3ec9ebd83924cc80695cd0dac5f35f8cb859d5ed6fcaf

Observation b22d4806-46fa-4f31-b2b9-117e862c14a0 · outbound

This paper cites Since the minimal cycle is unique, dmin correctly represents the minimal cycle weight.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Since the minimal cycle is unique, dmin correctly represents the minimal cycle weight

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.337291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.129174Z digest=sha256:f127af67de40dff60d5d8d537c778c7ed9d894efb7c32bdcf71b4365be89f734

Observation 32d06b76-e7a9-4599-a7b0-5982e17df2f5 · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:15:10.317261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.133871Z digest=sha256:d361d1c73fef87abbe46c25541187b461d2eaa3bd102b6c19d2256c6bae18317

Observation d9366b45-96f8-4ae7-985f-63c0c0e6e732 · outbound

This paper cites [Mathematical Errors : You need a finite field to use the theorem.].

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading [Mathematical Errors : You need a finite field to use the theorem.]

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.298086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.139030Z digest=sha256:4eb07ee765b9c46d3a66589321b8f5a259f0a4399ba91a5d6e0bfda04cfc27cc

Observation 88f38707-dd95-47f9-9dda-226eb34514ad · outbound

This paper cites an unresolved cited work.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:15:10.278997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.143907Z digest=sha256:0d232897c1c7939972e2219b7714b61c1be11393de8596d45beeedae4cc0ac08

Observation acb8d391-b102-450e-85a6-9481e56c1d3f · outbound

This paper cites X π sign(π) Y i ai,π(i) # = X π sign(π) E.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading X π sign(π) Y i ai,π(i) # = X π sign(π) E

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.259938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.148588Z digest=sha256:43df1d1bf106c10bd88e26c1dd80603893a3a40d12909768c086ba979edc2df6

Observation 4c2c0d61-94b1-43ef-89b1-1b416793e61d · outbound

This paper cites 1 N NX i=1 detAs(− →Gi) # = 1√ N r var h detAs(− →Gi) i . By Chebyshev’s inequality: Pr   E h detAs(− →G) i − 1 N NX i=1 detAs(− →Gi) ≥k vuut var.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading 1 N NX i=1 detAs(− →Gi) # = 1√ N r var h detAs(− →Gi) i . By Chebyshev’s inequality: Pr   E h detAs(− →G) i − 1 N NX i=1 detAs(− →Gi) ≥k vuut var

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:15:10.241425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T20:15:10.153779Z digest=sha256:01331271bcf3bbabd2d9cccb66c328c7bacbf36930f6333e9d3d5542c50caae5

Observation 4b8165f0-e409-4a2d-8543-8181818d7812 · outbound

This paper cites Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challenge.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challenge

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-15T20:15:09.876606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:15:09.876606Z digest=sha256:1750bf747ae70b2d5e1da65b8e02029e3921708785202c9d8495df7877a5769d

Observation f99a4cba-1b40-41f1-a3f0-a1216c8ec41b · outbound

This paper cites Can OpenAI o1 outperform humans in higher-order cognitive thinking?.

Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading Can OpenAI o1 outperform humans in higher-order cognitive thinking?

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-15T20:15:09.882774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:15:09.882774Z digest=sha256:824801bb9c1ef094c4933b5b1beba6198d54fd9aae57c7a9a3427c04aa40fb35

Pith citing papers

Observation 17035d1f-e229-4cb7-8a66-a947fda985d2 · inbound

VArsity: Can Large Language Models Keep Power Engineering Students in Phase? cites this paper.

VArsity: Can Large Language Models Keep Power Engineering Students in Phase? Assessing GPT Performance in a Proof-Based University-Level Course Under Blind Grading

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-06T13:10:49.023895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T13:10:46.726958Z digest=sha256:3fd178eb0758c7fc64504fc1b772bc23d5377fb1b50dcf86e6f8f458434b63c9