Paper Citation Record · LEDGER

Expected and minimal values of a universal tree balance index

As of 23 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2507.08615.

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

pith.paper-citation-record.v1
2507.08615 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:24:56.408425Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

45 of 45 outbound references displayed

verified exact24
verified fuzzy2
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f29c6ba-047f-4a01-a34c-3935b7e3ad7d · outbound

This paper cites : Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today.

Expected and minimal values of a universal tree balance index : Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:54.182010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f30ef52-4125-4ca8-9ef7-4ddcbfa29dec · outbound

This paper cites , Sack , J.-R.

Expected and minimal values of a universal tree balance index , Sack , J.-R

Reference 2

Resolution: verified exact; doi, observed 2026-08-06T18:25:19.749652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e21d452c-2793-429f-be73-f2bf95b2d1c6 · outbound

This paper cites , Fran c ois , O.

Expected and minimal values of a universal tree balance index , Fran c ois , O

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:54.310853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1dab472f-c772-4a78-95c7-af2c2785b70c · outbound

This paper cites , François , O.

Expected and minimal values of a universal tree balance index , François , O

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:54.405866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 065bb1b1-b787-4799-9753-41c3bff3af2a · outbound

This paper cites , Schrago , C.G.

Expected and minimal values of a universal tree balance index , Schrago , C.G

Reference 5

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T18:25:20.667408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 58d9a467-d116-4e97-a511-bfeef1edda51 · outbound

This paper cites , Sholokova , A.

Expected and minimal values of a universal tree balance index , Sholokova , A

Reference 6

Resolution: verified exact; doi, observed 2026-08-06T18:25:19.700430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 105b0349-f37f-4067-b011-d47419a575a5 · outbound

This paper cites , Fischer , M.

Expected and minimal values of a universal tree balance index , Fischer , M

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:54.639772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ea208f5-f92b-4327-bca0-ec82e5ad6346 · outbound

This paper cites , Gardy , J.

Expected and minimal values of a universal tree balance index , Gardy , J

Reference 8

Resolution: verified exact; doi, observed 2026-08-06T18:25:19.666232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6fb2d4bd-c349-4fc3-9c51-111aeab5238f · outbound

This paper cites , Hayati , M.

Expected and minimal values of a universal tree balance index , Hayati , M

Reference 9

Resolution: verified exact; doi, observed 2026-08-06T18:25:19.639705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cbf5a235-7967-4f7d-b5ba-6d778270d986 · outbound

This paper cites , Mir , A.

Expected and minimal values of a universal tree balance index , Mir , A

Reference 10

Resolution: verified exact; doi, observed 2026-08-06T18:25:19.614044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 889b6533-838e-4c36-9873-62a77559a92e · outbound

This paper cites : Review of Phylogenetics , The Theory and Practice of Phylogenetic Systematics.

Expected and minimal values of a universal tree balance index : Review of Phylogenetics , The Theory and Practice of Phylogenetic Systematics

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:54.849827Z

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Observation d4520547-2805-4804-8912-5eb58cadeab5 · outbound

This paper cites , Campos , P.R.

Expected and minimal values of a universal tree balance index , Campos , P.R

Reference 12

Resolution: verified exact; doi, observed 2026-08-06T18:25:19.574036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d4a7a8d6-4b5a-4bde-8ced-805af9e42dde · outbound

This paper cites , Gao , Y.

Expected and minimal values of a universal tree balance index , Gao , Y

Reference 13

Resolution: verified exact; doi, observed 2026-08-06T18:25:19.548421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bc96f7cd-cbed-4773-82b2-9cb53e9e0719 · outbound

This paper cites , Gittenberger , B.

Expected and minimal values of a universal tree balance index , Gittenberger , B

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:55.017968Z

Source-reported events for the cited work

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Observation df70de2f-392a-4b33-8c9b-703c2cd0641c · outbound

This paper cites , Herbst , L.

Expected and minimal values of a universal tree balance index , Herbst , L

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:55.047535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94668b45-751d-4858-a0fe-666cdac74c00 · outbound

This paper cites : Extremal values of the Sackin tree balance index.

Expected and minimal values of a universal tree balance index : Extremal values of the Sackin tree balance index

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:55.095195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6dbba5d2-4162-46ff-8b77-cf74c8a2b297 · outbound

This paper cites , Louchard , G.

Expected and minimal values of a universal tree balance index , Louchard , G

Reference 17

Resolution: verified exact; doi, observed 2026-08-06T18:25:19.483374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 58584d10-10eb-4249-ba8f-6639b0d6e5c3 · outbound

This paper cites : The properties of random trees.

Expected and minimal values of a universal tree balance index : The properties of random trees

Reference 18

Resolution: verified exact; doi, observed 2026-08-06T18:25:19.446640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 89f17550-5f53-4183-a544-37dd482f687d · outbound

This paper cites : Patterns in tree balance among cladistic, phenetic, and randomly generated phylogenetic trees.

Expected and minimal values of a universal tree balance index : Patterns in tree balance among cladistic, phenetic, and randomly generated phylogenetic trees

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-06T18:25:20.561276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e85efab7-93ad-4253-b31e-0ea5173db39d · outbound

This paper cites : A method for the construction of minimum-redundancy codes.

Expected and minimal values of a universal tree balance index : A method for the construction of minimum-redundancy codes

Reference 20

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T18:25:20.452146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bd475b3e-c1d5-4cff-bb7d-f64a2daf99ec · outbound

This paper cites The Quicksort algorithm and related topics.

Expected and minimal values of a universal tree balance index The Quicksort algorithm and related topics

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:25:19.407790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 12be3353-ee96-41c7-a570-82363a378eb2 · outbound

This paper cites : The Art of Computer Programming, Volume 1: Fundamental Algorithms , 3 rd edn.

Expected and minimal values of a universal tree balance index : The Art of Computer Programming, Volume 1: Fundamental Algorithms , 3 rd edn

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:25:20.800321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation adc6cf56-5320-4834-9465-acbf40fe5acd · outbound

This paper cites : The Art of Computer Programming, Volume 3: Sorting and Searching , 2 nd edn.

Expected and minimal values of a universal tree balance index : The Art of Computer Programming, Volume 3: Sorting and Searching , 2 nd edn

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:25:20.777661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b107d06c-5d02-43c5-9ac3-467c0b9bce75 · outbound

This paper cites , Slatkin , M.

Expected and minimal values of a universal tree balance index , Slatkin , M

Reference 24

Resolution: verified exact; raw_fallback, observed 2026-08-06T18:25:20.362507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3e84591a-06e7-488e-8693-507a6a29b590 · outbound

This paper cites Four transformations on the Catalan triangle.

Expected and minimal values of a universal tree balance index Four transformations on the Catalan triangle

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:55.409091Z

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Unavailable: canonical work link unavailable.

Observation 2dcb697b-25ca-43a4-ae2c-5bd9a665bc60 · outbound

This paper cites o ni , J. , Cellerai , C. , Klimkait , T. , G \.

Expected and minimal values of a universal tree balance index o ni , J. , Cellerai , C. , Klimkait , T. , G \

Reference 26

Resolution: verified exact; doi, observed 2026-08-06T18:24:57.876772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 39717704-2ffa-4b53-9a38-9f917f23bfb7 · outbound

This paper cites , Le Sueur , C.

Expected and minimal values of a universal tree balance index , Le Sueur , C

Reference 27

Resolution: verified exact; doi, observed 2026-08-06T18:24:57.424024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c820d8cd-e6ad-44a7-9928-0e1b6ecd4bec · outbound

This paper cites , Heard , S.B.

Expected and minimal values of a universal tree balance index , Heard , S.B

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:55.619366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 811907e3-6483-4b6c-b999-88b55c7421f0 · outbound

This paper cites , Rosselló , F.

Expected and minimal values of a universal tree balance index , Rosselló , F

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:55.652733Z

Source-reported events for the cited work

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Observation 22d82430-31c4-4270-ba17-4b4616a48594 · outbound

This paper cites , Steel , M.

Expected and minimal values of a universal tree balance index , Steel , M

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:55.678031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b019bcbd-743a-401f-b5c6-8c84cef4fc3a · outbound

This paper cites , Burri , D.

Expected and minimal values of a universal tree balance index , Burri , D

Reference 31

Resolution: verified exact; doi, observed 2026-08-06T18:24:57.252588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e991d52e-a450-453b-a80d-2241a3e30886 · outbound

This paper cites , Pradels , J.

Expected and minimal values of a universal tree balance index , Pradels , J

Reference 32

Resolution: verified exact; doi, observed 2026-08-06T18:24:57.141754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 94b52623-0fa3-4597-b7a1-338e3a93b6d3 · outbound

This paper cites , Reingold , E.M.

Expected and minimal values of a universal tree balance index , Reingold , E.M

Reference 33

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T18:25:20.232231Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5ab3a8c4-2059-4bc2-9bde-e9e824f50663 · outbound

This paper cites , Verity , K.

Expected and minimal values of a universal tree balance index , Verity , K

Reference 34

Resolution: verified exact; doi, observed 2026-08-06T18:24:57.008984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 13e57277-3da7-45d4-9dcc-c5c15b2beed3 · outbound

This paper cites , Agapow , P.-M.

Expected and minimal values of a universal tree balance index , Agapow , P.-M

Reference 35

Resolution: verified exact; doi, observed 2026-08-06T18:24:56.876314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 24c3dd1a-e7b0-473e-a246-a27a12c0e3e7 · outbound

This paper cites : Tree thinking, time and topology: comments on the interpretation of tree diagrams in evolutionary/phylogenetic systematics.

Expected and minimal values of a universal tree balance index : Tree thinking, time and topology: comments on the interpretation of tree diagrams in evolutionary/phylogenetic systematics

Reference 36

Resolution: verified exact; raw_fallback, observed 2026-08-06T18:25:20.132252Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation be637751-7297-40d6-abc8-3e92e2d16cca · outbound

This paper cites : Vicariant patterns and historical explanation in biogeography.

Expected and minimal values of a universal tree balance index : Vicariant patterns and historical explanation in biogeography

Reference 37

Resolution: verified exact; doi, observed 2026-08-06T18:24:56.773294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 895f6e01-554c-417d-a9d6-1ed4baefcd40 · outbound

This paper cites : A limit theorem for ``quicksort".

Expected and minimal values of a universal tree balance index : A limit theorem for ``quicksort"

Reference 38

Resolution: verified exact; raw_fallback, observed 2026-08-06T18:25:20.034160Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation db826cb2-299b-4f18-8119-cd126eaae107 · outbound

This paper cites Good ” and “bad.

Expected and minimal values of a universal tree balance index Good ” and “bad

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:56.199574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 314da834-4206-46e9-a66f-8dbff2b7b785 · outbound

This paper cites , McKenzie , A.

Expected and minimal values of a universal tree balance index , McKenzie , A

Reference 40

Resolution: verified exact; doi, observed 2026-08-06T18:24:56.697405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4c6c78a3-948f-4f43-9258-eeb0b0f16df6 · outbound

This paper cites , Maini , P.K.

Expected and minimal values of a universal tree balance index , Maini , P.K

Reference 41

Resolution: verified exact; doi, observed 2026-08-06T18:24:56.604414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 734cdba9-4480-4dbc-ae18-1044c7d737fe · outbound

This paper cites , Sokal , R.R.

Expected and minimal values of a universal tree balance index , Sokal , R.R

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:56.309860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb158704-253e-4825-977a-b6a9f2e207b6 · outbound

This paper cites : A B ernoulli excursion and its various applications.

Expected and minimal values of a universal tree balance index : A B ernoulli excursion and its various applications

Reference 43

Resolution: verified exact; doi, observed 2026-08-06T18:24:56.505447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 72b1a509-2c51-4dbf-8195-1adfbaba8966 · outbound

This paper cites , Nievergelt , J.

Expected and minimal values of a universal tree balance index , Nievergelt , J

Reference 44

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T18:25:19.931950Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3996391f-bd69-441a-8d46-eda0bb555e18 · outbound

This paper cites an unresolved cited work.

Expected and minimal values of a universal tree balance index Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:56.408425Z

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Unavailable: canonical work link unavailable.

Pith citing papers

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