Paper Citation Record · LEDGER

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees

As of 7 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2505.24821.

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

pith.paper-citation-record.v1
2505.24821 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:29:39.486042Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

14 of 14 outbound references displayed

verified exact2
verified fuzzy8
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cabf1faa-2888-4b7e-ad5a-9df046ac1b11 · outbound

This paper cites an unresolved cited work.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:29:43.052922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c14aafae-6612-42d9-bbe5-e0f3ec54bee3 · outbound

This paper cites The Critical Beta-splitting Random Tree II: Overview and Open Problems.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees The Critical Beta-splitting Random Tree II: Overview and Open Problems

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:29:39.891425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1ccea89c-07ba-473d-b93e-f8c078331b58 · outbound

This paper cites The Critical Beta-splitting Random Tree III: The exchangeable partition representation and the fringe tree.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees The Critical Beta-splitting Random Tree III: The exchangeable partition representation and the fringe tree

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:29:39.702152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a506e315-aae7-4778-97e8-37fb4886a28d · outbound

This paper cites Aldous and S.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Aldous and S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:42.728223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aedd5b4d-45af-4b72-8f39-4c20a4251a50 · outbound

This paper cites Aldous, S.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Aldous, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:42.470038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe91e0e2-48d5-4ba5-b85b-1c6b9d871ed8 · outbound

This paper cites Aldous and B.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Aldous and B

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:42.188119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2e52dc1-fdf1-4ad0-acbd-34816e3b966a · outbound

This paper cites an unresolved cited work.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:29:41.901855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5322ccba-291b-46f5-bbe2-dd59267b885e · outbound

This paper cites Kolesnik.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Kolesnik

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:41.565756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 35c9e348-e716-496f-8c4d-bc3fd4528b2c · outbound

This paper cites Neininger and L.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Neininger and L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:41.270794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b5dcbf0d-228f-42cf-a079-3770ae4b87c1 · outbound

This paper cites Neininger and L.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Neininger and L

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:41.005347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d1dcd34e-0af6-4dae-bd16-dcb3311d2a4a · outbound

This paper cites an unresolved cited work.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:29:40.790228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a1f60e38-4d19-4297-b1fc-035851754eae · outbound

This paper cites an unresolved cited work.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:29:40.550328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9df6eeea-2353-4424-90b7-804a7d2b92d0 · outbound

This paper cites Zolotarev.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees Zolotarev

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:40.358038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1b26e1bb-de0f-4844-80d9-911942d00d60 · outbound

This paper cites E " ζ3 r In n ZIn + r n − In n Zn−In + b(n), r In n τInN1 + r n − In n τn−InN2 + b(n) ! In ## ≤ E.

Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees E " ζ3 r In n ZIn + r n − In n Zn−In + b(n), r In n τInN1 + r n − In n τn−InN2 + b(n) ! In ## ≤ E

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:29:40.069638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.