Paper Citation Record · LEDGER

Metaconcepts of rooted tree balance

As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2506.08614.

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

pith.paper-citation-record.v1
2506.08614 v3

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:23:38.350312Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

21 of 21 outbound references displayed

verified exact2
verified fuzzy3
unresolved9
parse uncertain0
malformed identifier7
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b9e12711-c31d-46f8-9c27-27a790e24f86 · outbound

This paper cites Balanced search trees made simple.

Metaconcepts of rooted tree balance Balanced search trees made simple

Reference 1

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:23:40.883972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6fff4b98-c72c-4561-ba18-0f0a18116e77 · outbound

This paper cites Coronado, Arnau Mir, and F rancesc Rosselló.

Metaconcepts of rooted tree balance Coronado, Arnau Mir, and F rancesc Rosselló

Reference 2

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:23:39.258266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cc35fb7f-cf58-4e6a-9fc1-72a6adcaae4e · outbound

This paper cites Blum and Olivier François.

Metaconcepts of rooted tree balance Blum and Olivier François

Reference 3

Resolution: verified exact; doi, observed 2026-08-07T05:23:38.815968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 42de64b4-cb0c-4ab5-a2df-94117ca4631b · outbound

This paper cites Which random proce sses describe the tree of life? A large-scale study of phylogenetic tree imbalance.

Metaconcepts of rooted tree balance Which random proce sses describe the tree of life? A large-scale study of phylogenetic tree imbalance

Reference 4

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:23:40.639920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 85b2d60c-1c34-43d5-a2d6-acafa402b8d0 · outbound

This paper cites The GFB Tree and Tree Imbalance Indices.

Metaconcepts of rooted tree balance The GFB Tree and Tree Imbalance Indices

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:35.914917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 392858b6-ac96-479d-85c4-a29c1a49812a · outbound

This paper cites Phylogenetics: The theory and pra ctice of phylogenetic systematics.

Metaconcepts of rooted tree balance Phylogenetics: The theory and pra ctice of phylogenetic systematics

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:36.077467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c40d20c3-bf6a-46a4-a1ef-ba14f1b02909 · outbound

This paper cites Coronado, Mareike Fischer, Lina Herbst, France sc Rosselló, and Kristina Wicke.

Metaconcepts of rooted tree balance Coronado, Mareike Fischer, Lina Herbst, France sc Rosselló, and Kristina Wicke

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-07T05:23:36.243892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be3f4861-81fd-4530-96ff-d1ee3814a12b · outbound

This paper cites On the distribution of binary search tr ees under the random permutation model.

Metaconcepts of rooted tree balance On the distribution of binary search tr ees under the random permutation model

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:36.423477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation caa7c561-5488-458d-b052-50168cd96404 · outbound

This paper cites Extremal values of the Sackin tree bala nce index.

Metaconcepts of rooted tree balance Extremal values of the Sackin tree bala nce index

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:36.531146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be5af0c4-3457-47fe-a293-847317ddbad6 · outbound

This paper cites On the balance o f unrooted trees.

Metaconcepts of rooted tree balance On the balance o f unrooted trees

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T05:23:38.580700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3e63baa1-2504-4fd7-9aa6-a71896b01433 · outbound

This paper cites Tree Balance Indices: A Comprehensive Survey.

Metaconcepts of rooted tree balance Tree Balance Indices: A Comprehensive Survey

Reference 11

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:23:40.391936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 24f3c754-3517-4416-9fc4-997362e779dd · outbound

This paper cites an unresolved cited work.

Metaconcepts of rooted tree balance Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:36.963531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e7bf50c-9d35-437c-b259-209cffea16b8 · outbound

This paper cites Searching fo r evolutionary patterns in the shape of a phylogenetic tree.

Metaconcepts of rooted tree balance Searching fo r evolutionary patterns in the shape of a phylogenetic tree

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:37.097368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8a798b0-0d12-47d6-9d2e-c9fb9e4dbfb9 · outbound

This paper cites The art of computer programming, volume 3: (2nd ed.) sorting and searching.

Metaconcepts of rooted tree balance The art of computer programming, volume 3: (2nd ed.) sorting and searching

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:40.126974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bd6f7fd4-877f-4597-849b-4ff2dec452db · outbound

This paper cites The weighted total cophenetic index: A novel balance index for phylogenetic networks.

Metaconcepts of rooted tree balance The weighted total cophenetic index: A novel balance index for phylogenetic networks

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:39.887466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0e525949-33ba-4e44-8737-97d2185f2dda · outbound

This paper cites A new ba lance index for phylogenetic trees.

Metaconcepts of rooted tree balance A new ba lance index for phylogenetic trees

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:37.641997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecbdcb4a-6094-494b-8ee1-128acbc50063 · outbound

This paper cites ape 5.0: an environ ment for modern phylogenetics and evolu- tionary analyses in R.

Metaconcepts of rooted tree balance ape 5.0: an environ ment for modern phylogenetics and evolu- tionary analyses in R

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:37.805561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cab704d7-4123-453d-90c3-f4d7ef213e91 · outbound

This paper cites Good” and “bad.

Metaconcepts of rooted tree balance Good” and “bad

Reference 18

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:23:39.722809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3484144c-c971-4f3d-80c4-32170cd54851 · outbound

This paper cites an unresolved cited work.

Metaconcepts of rooted tree balance Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:38.151623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 182c8c71-4da3-496f-a0d7-0ab78282c8c6 · outbound

This paper cites ⇒” Let f : R → R be aﬃne and x, y, z ∈ R. Then, f (x + z) − f (y + z) = m · (x + z) + a − (m · (y + z) + a) = m · x + a − (m · y + a) = f (x) − f (y). “⇐.

Metaconcepts of rooted tree balance ⇒” Let f : R → R be aﬃne and x, y, z ∈ R. Then, f (x + z) − f (y + z) = m · (x + z) + a − (m · (y + z) + a) = m · x + a − (m · y + a) = f (x) − f (y). “⇐

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:39.480769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 00766a42-35df-473a-b1ed-faf1eb4f479b · outbound

This paper cites doi: https://doi.org/10.1016/j.da m.2024.07.037.

Metaconcepts of rooted tree balance doi: https://doi.org/10.1016/j.da m.2024.07.037

Reference 2024

Resolution: malformed identifier; no resolver link, observed 2026-08-07T05:23:37.538825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.