Paper Citation Record · LEDGER

Critical-exponent stratification and inverse realization on biregular trees

As of 9 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.21294.

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

pith.paper-citation-record.v1
2607.21294 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:18:34.118618Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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 exact0
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a8010d30-c0bf-4935-8884-40706ba8d393 · outbound

This paper cites Angel, J.

Critical-exponent stratification and inverse realization on biregular trees Angel, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:31.550210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 191524fc-0040-413f-a210-398fe4810518 · outbound

This paper cites Baker,Transcendental Number Theory, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1990.

Critical-exponent stratification and inverse realization on biregular trees Baker,Transcendental Number Theory, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1990

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:31.663437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b7ea186-6f59-430e-abd1-3eb3376909b0 · outbound

This paper cites Bass,The Ihara–Selberg zeta function of a tree lattice, Internat.

Critical-exponent stratification and inverse realization on biregular trees Bass,The Ihara–Selberg zeta function of a tree lattice, Internat

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:31.802515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66a9295b-b02d-4b36-bac3-4d2181172346 · outbound

This paper cites Bass and A.

Critical-exponent stratification and inverse realization on biregular trees Bass and A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:31.919013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45b778d4-2ee6-465a-90db-5c11d6bea3ea · outbound

This paper cites Boyle and D.

Critical-exponent stratification and inverse realization on biregular trees Boyle and D

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:32.080336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 668d6a09-0f90-417e-81aa-85319c34f0dd · outbound

This paper cites Ihara zeta functions for some simple graph families.

Critical-exponent stratification and inverse realization on biregular trees Ihara zeta functions for some simple graph families

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:32.207737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12cb266d-243b-4320-b981-d2bd3d338ee3 · outbound

This paper cites On the growth spectrum of hyperbolic groups.

Critical-exponent stratification and inverse realization on biregular trees On the growth spectrum of hyperbolic groups

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:32.300221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3ef7b4f-1544-42f0-bdb6-a8656becc727 · outbound

This paper cites Entropy and the growth rate of universal covering trees.

Critical-exponent stratification and inverse realization on biregular trees Entropy and the growth rate of universal covering trees

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:32.447289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fcce641-0a26-4a1d-8eb7-4b5d9caf6ade · outbound

This paper cites Glover and M.

Critical-exponent stratification and inverse realization on biregular trees Glover and M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:32.564118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f411bb0e-3a52-4112-97fe-801491bae5b0 · outbound

This paper cites Hashimoto,Zeta functions of finite graphs and representations of p-adic groups, inAutomorphic Forms and Geometry of Arithmetic Varieties, Adv.

Critical-exponent stratification and inverse realization on biregular trees Hashimoto,Zeta functions of finite graphs and representations of p-adic groups, inAutomorphic Forms and Geometry of Arithmetic Varieties, Adv

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:32.671401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5cc0481-600e-49bb-9759-1980c19f7731 · outbound

This paper cites Kotani and T.

Critical-exponent stratification and inverse realization on biregular trees Kotani and T

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:32.820792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65eb8069-cd08-49de-9478-004c3c3d0dce · outbound

This paper cites Kwon,On the set of critical exponents of discrete groups acting on regular trees, J.

Critical-exponent stratification and inverse realization on biregular trees Kwon,On the set of critical exponents of discrete groups acting on regular trees, J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:32.956869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1edf41e-e9a4-46e6-8335-a4b959a55687 · outbound

This paper cites Kwon and S.

Critical-exponent stratification and inverse realization on biregular trees Kwon and S

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:33.080090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c640969-cffc-4ca4-bd58-0f53fad462bc · outbound

This paper cites Lederle,Critical exponents of boomerang subgroups in the free group, preprint, arXiv:2512.20767v1 (2025).

Critical-exponent stratification and inverse realization on biregular trees Lederle,Critical exponents of boomerang subgroups in the free group, preprint, arXiv:2512.20767v1 (2025)

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:33.219460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a740234-3bcc-4487-aafd-40273ee9717e · outbound

This paper cites an unresolved cited work.

Critical-exponent stratification and inverse realization on biregular trees Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:33.336260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1df84aa2-ed76-4ef8-b400-97356afa4fb4 · outbound

This paper cites On the spectral radius of the non-backtracking matrix of the configuration model.

Critical-exponent stratification and inverse realization on biregular trees On the spectral radius of the non-backtracking matrix of the configuration model

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:33.455434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30c5f2c1-118c-4952-b981-2fc2e45e2489 · outbound

This paper cites Subgroups of a free group with every growth rate.

Critical-exponent stratification and inverse realization on biregular trees Subgroups of a free group with every growth rate

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:33.558517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25db1860-2bf2-449b-a84e-f0712d4e05e9 · outbound

This paper cites An extension of the cogrowth formula to arbitrary subsets of the tree.

Critical-exponent stratification and inverse realization on biregular trees An extension of the cogrowth formula to arbitrary subsets of the tree

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:33.713359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f62cf5f-e649-4296-a308-f71614f573ef · outbound

This paper cites Serre,Trees, Springer Monographs in Mathematics, Springer, Berlin, 2003.

Critical-exponent stratification and inverse realization on biregular trees Serre,Trees, Springer Monographs in Mathematics, Springer, Berlin, 2003

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:33.811284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be74bb6f-d7c9-40b7-ace5-55db87b917c5 · outbound

This paper cites an unresolved cited work.

Critical-exponent stratification and inverse realization on biregular trees Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:33.934112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6387129d-7e72-4aae-90ab-74cd43830d7a · outbound

This paper cites Tim´ ar,Density of growth rates of subgroups of a free group—an alternative proof, arXiv:2601.12620v1, 2026.

Critical-exponent stratification and inverse realization on biregular trees Tim´ ar,Density of growth rates of subgroups of a free group—an alternative proof, arXiv:2601.12620v1, 2026

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T08:18:34.118618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.