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Paper Citation Record · LEDGER

Elo Ratings in the Presence of Intransitivity

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 2 inbound Pith citation observations for arXiv:2412.14427.

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

pith.paper-citation-record.v1
2412.14427 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:21:56.121758Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T08:31:20.420952Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T13:02:44.253281Z

Reference resolution

42 of 42 outbound references displayed

  • verified exact7
  • verified fuzzy13
  • unresolved21
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 318eaafb-cf2f-4d5c-83ae-f9257e5d8ef5 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T12:21:55.918296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation bec4b553-2045-4575-bdeb-4a5d850a77df · outbound

This paper cites , Tuyls, K.

Elo Ratings in the Presence of Intransitivity , Tuyls, K

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 0177b407-cd10-41d7-8ac9-1568ca8b73dd · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-11T12:21:56.653229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:55.929311Z digest=sha256:6b98f5f516f29f5f75ad23566bce4c7f352f960183f773342f29a33e385278ae

Observation 8aacf98d-1471-4864-9d32-079ee1596b76 · outbound

This paper cites On the Limitations of Elo: Real-World Games, are Transitive, not Additive.

Elo Ratings in the Presence of Intransitivity On the Limitations of Elo: Real-World Games, are Transitive, not Additive

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T12:21:55.934730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:21:55.934730Z digest=sha256:168e4a3dfb0eed6218d7154afcd1fa5a927d959e00684ab8c0364aaf86661f93

Observation 9bdb2100-51d8-492c-8a59-128030952aca · outbound

This paper cites and Brinkhuis, M.

Elo Ratings in the Presence of Intransitivity and Brinkhuis, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:57.093096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation eba3cffe-e30a-455d-8a98-fe0ba94ece1f · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:57.076820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:55.946661Z digest=sha256:9356dcf1557e4e63cd43754120687d868fb0376555ed09a6c01f6fca0025d90c

Observation 164c8fba-f9f8-4c1e-81ed-fe6ea170ae5e · outbound

This paper cites com (2017).

Elo Ratings in the Presence of Intransitivity com (2017)

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:55.952505Z digest=sha256:ebb2dc3d04c9a1e37a250c599a2709d01f0de99d32792bcf011ffb1db99a37a8

Observation f8dd8f4d-f084-439a-8f94-3575a01f5c96 · outbound

This paper cites com (2024).

Elo Ratings in the Presence of Intransitivity com (2024)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:57.043523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:55.957538Z digest=sha256:91f63ff78200a9606ece6d903eada4b841d807825de5eb041a7e1afa86f6746e

Observation 4877eb4f-b73a-4c8f-a33c-9e84a0e38e16 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:57.026929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 3162aef5-3ef8-4edd-9290-7d15eccb6534 · outbound

This paper cites , Lambrecht, M.

Elo Ratings in the Presence of Intransitivity , Lambrecht, M

Reference 10

Resolution
verified exact
doi, observed 2026-08-11T12:21:56.238379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d002faeb-f62e-4ab4-b598-4d23bbf200c3 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:57.010250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:55.972044Z digest=sha256:24983e3dc186ad7beb2c0119dce998bf72e4a2f3e1dac2ca298af4d8409fd468

Observation d6bb9501-7068-43a1-9374-9be4832e0e8e · outbound

This paper cites Boltzmann and Fokker-Planck equations modelling the Elo rating system with learning effects.

Elo Ratings in the Presence of Intransitivity Boltzmann and Fokker-Planck equations modelling the Elo rating system with learning effects

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:21:56.571981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 233dbc23-0a48-4e35-9fbc-1f72a5093c99 · outbound

This paper cites , Torregrossa, M.

Elo Ratings in the Presence of Intransitivity , Torregrossa, M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:56.992631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:55.982489Z digest=sha256:86ff84c823d29f5b40c64efa386aecdd514d7dfedba45be65d6b4b2987d9c74f

Observation 284ccf37-a5c4-4c40-8838-e1778a65cdd6 · outbound

This paper cites and Liu, P.

Elo Ratings in the Presence of Intransitivity and Liu, P

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T12:21:55.987045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:21:55.987045Z digest=sha256:a927cdef71e7f03f5cfa79f46032d190abecc474091d62a3bd34257b8ace3d1f

Observation ae786a27-dfd2-4b90-b255-7fdf5e1875e8 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.976219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 9092953d-064f-4d7a-a144-fdf42bede585 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-11T12:21:56.221326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation cc84c2c7-6d37-406c-8668-71dedf51f8ea · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.960655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 134ee2a6-a13b-4367-920f-10e833653a1a · outbound

This paper cites and Rodríguez, J.

Elo Ratings in the Presence of Intransitivity and Rodríguez, J

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 418696d6-1a08-44ef-a399-76a4016dc333 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.929158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 2dc03fac-2e23-4664-a8e0-7324a2de52e6 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T12:21:56.015978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:21:56.015978Z digest=sha256:33731bd7143bb7faf065896541898c6c037717f9df40de168b010fe1ae2b1af0

Observation 113636d9-76e2-470c-98d9-fe586b8db516 · outbound

This paper cites , Chang, C.-J.

Elo Ratings in the Presence of Intransitivity , Chang, C.-J

Reference 21

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T12:21:56.912850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:56.021168Z digest=sha256:5129554e9abdb96d242608f9342c57c3992993b791ef46f8a3a3046f06dbc4cd

Observation fe6c04a1-0f11-4a90-be72-cdd5546760cc · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-11T12:21:56.026444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:21:56.026444Z digest=sha256:55b27b60e0fc4128d367a945aebc25219b075998a24b9539f1d48cce41bb845b

Observation 61f79395-fdbd-41de-8a51-c9a530f65c8e · outbound

This paper cites (2011).Statisticalrankingand combinatorial Hodge theory.Mathematical Programming127 203–244.

Elo Ratings in the Presence of Intransitivity (2011).Statisticalrankingand combinatorial Hodge theory.Mathematical Programming127 203–244

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:56.897653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 8bb7d8d9-91be-4b84-b3d8-b123bcebfcda · outbound

This paper cites W., Mikhailov, L., Redlarski, G., Soltys, M., Szy- bowski, J., Tamazian, G., W ajch, E.and Yuen, K.

Elo Ratings in the Presence of Intransitivity W., Mikhailov, L., Redlarski, G., Soltys, M., Szy- bowski, J., Tamazian, G., W ajch, E.and Yuen, K

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:56.881893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e25db305-d078-403d-8996-3c4de7d0c335 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 25

Resolution
verified exact
doi, observed 2026-08-11T12:21:56.195797Z

Source-reported events for the cited work

correction dated 2021-05-19. Source: crossref record 10.1016/j.ijforecast.2021.01.015->10.1016/j.ijforecast.2020.01.006:correction, observed 2026-07-11T03:12:24.339887+00:00. This notice travels one citation hop only.

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Observation 90bc64ce-ec96-4bdb-becb-f2e4bac81be2 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.866335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f18ca273-6b8e-4816-bfd1-0a6132d29509 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.850693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 0576fc02-8565-4274-953b-bae07552c367 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.834906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e7ac1baf-fa88-4df3-8b8c-e5f46006c0ab · outbound

This paper cites and Probst, C.

Elo Ratings in the Presence of Intransitivity and Probst, C

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:56.819179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 6fc6fe5a-412f-4ec2-a1e5-7753bce2b685 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.803193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 9eb053fa-6b0c-465d-bb64-09fa47287b1c · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.786473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:56.070453Z digest=sha256:cab377fe6e0b0be384c6ff22a14363bb599b2b12e82d36707ef3f82454d88e60

Observation 48a7baba-a100-4d75-8bd8-7f267d6ba6c2 · outbound

This paper cites (2022).G-Elo:generalizationoftheEloalgorithmbymod- eling the discretized margin of victory.Journal of Quantitative Analysis in Sports 18 1–14.

Elo Ratings in the Presence of Intransitivity (2022).G-Elo:generalizationoftheEloalgorithmbymod- eling the discretized margin of victory.Journal of Quantitative Analysis in Sports 18 1–14

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-11T12:21:56.074968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:21:56.074968Z digest=sha256:74fe86cebce02cc388f815f9c155ee07dc73e3279217acd94675c1f034ddf28f

Observation 8e7b6892-69a4-4d3d-8389-841403a4f13c · outbound

This paper cites Understanding and Pushing the Limits of the Elo Rating Algorithm.

Elo Ratings in the Presence of Intransitivity Understanding and Pushing the Limits of the Elo Rating Algorithm

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:21:56.286717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d3a960a6-e473-46f9-9110-a802ec3eb865 · outbound

This paper cites and Djebbi, A.

Elo Ratings in the Presence of Intransitivity and Djebbi, A

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-11T12:21:56.084555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:21:56.084555Z digest=sha256:9c76265cb0203f8414894034f79570c631a98922011359ff80d28613b3a05af2

Observation 0b1fe0a5-6a40-41b5-8634-c68ab3fa58f0 · outbound

This paper cites and Tihon, R.

Elo Ratings in the Presence of Intransitivity and Tihon, R

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:56.770544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:56.089179Z digest=sha256:77618e25630bc78109bc3784ff8f0d2d30510ac3b270c3f3fba4f2d0f375a403

Observation b39423e8-43c3-4a4d-b87b-142502826bc9 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.754283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:56.093780Z digest=sha256:0a0ca5b9b62858e7e049dbfb4067b6cc78ad64c0bf386e5013a58b050b822fe3

Observation bf4be5ae-df4e-48c0-97c9-6a51844b14f2 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.737572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 3a3ca09d-5680-49fa-b8c0-546dcee97ae1 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 38

Resolution
verified exact
doi, observed 2026-08-11T12:21:56.158994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:56.103136Z digest=sha256:14a763f1177fa236b2e78fad5dbc3f65361f9ad022dc5d41d9b52778ea9c6fba

Observation 007fb328-5c69-483f-88cd-bbcb6ddd7034 · outbound

This paper cites and Gerrard, H.

Elo Ratings in the Presence of Intransitivity and Gerrard, H

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:56.720877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:56.107818Z digest=sha256:abc8707b5833bcfd91d904fe2eb4dd06bfde1f0e52b6bdf711db54ed0e051874

Observation b8920413-4a75-43c4-981c-f0aecc2bbe52 · outbound

This paper cites and Yao, Y.

Elo Ratings in the Presence of Intransitivity and Yao, Y

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:56.703694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:56.112436Z digest=sha256:4a566667e51f55735060a19291ea9c265c14ac32c63fd2389e508395589f3dde

Observation 48d6b76e-8d43-4cb5-b0b0-a7d1a1f1bf28 · outbound

This paper cites and Chen, X.

Elo Ratings in the Presence of Intransitivity and Chen, X

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:21:56.687274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:56.117211Z digest=sha256:6dd68a3913174f649825a055a34bcdbfb0be4f7c228b598a4222514b63426a93

Observation 42aad3aa-8bf8-4bb4-93d2-81f6257a3937 · outbound

This paper cites an unresolved cited work.

Elo Ratings in the Presence of Intransitivity Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:21:56.670811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:21:56.121758Z digest=sha256:86480e9c137cde7742218283549a586f1cfc25253920b6b5d46d6091b32473f9

Pith citing papers

Observation 2f57e421-aa24-4a45-98ad-290cb4313fd2 · inbound

Towards an AI co-scientist cites this paper.

Towards an AI co-scientist Elo Ratings in the Presence of Intransitivity

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:02:44.262307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-11T13:02:43.571234Z digest=sha256:a00b69d8d717789e735cec8ac62e468990e9a0e881de8e17747c1042da2486ca

Observation fd4e2dd8-1469-49a5-b858-62fd2b2aa5d9 · inbound

Capturing Intransitive Dominance in Tennis Forecasting: A Graph Neural Network Approach cites this paper.

Capturing Intransitive Dominance in Tennis Forecasting: A Graph Neural Network Approach Elo Ratings in the Presence of Intransitivity

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-04T08:31:20.420952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:31:20.420952Z digest=sha256:bc5ced9f4aba7fb8d0ab54cdff62f585c69c7c8bda92b1ce3668ca0de29586d9