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Paper Citation Record · LEDGER

Subgroups of a free group with every growth rate

As of 18 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 2 inbound Pith citation observations for arXiv:2505.10650.

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

pith.paper-citation-record.v1
2505.10650 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:19:44.408281Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:18:33.558517Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T03:07:34.421161Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy2
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9fb78760-6e24-4b98-9442-47aee65ae2d2 · outbound

This paper cites Berman and R.

Subgroups of a free group with every growth rate Berman and R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:19:44.564926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.367231Z digest=sha256:8058fd462dbde4856731e73b0d859a4703b469fe49c6ba55904bc2fd9718e027

Observation d350e580-3015-401f-aafd-b072bd678a5b · outbound

This paper cites an unresolved cited work.

Subgroups of a free group with every growth rate Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:19:44.554337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.372016Z digest=sha256:6619af2a8dfdb47fdf6803192c89d21ba2919deb29d234ed06da298c48829892

Observation 5910b126-ad07-44f3-80b8-470600a84df9 · outbound

This paper cites Spectral properties of the non-backtracking matrix of a graph.

Subgroups of a free group with every growth rate Spectral properties of the non-backtracking matrix of a graph

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:19:44.453608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.376564Z digest=sha256:8a23822bdf092c37b02365d5f90a79da894218c006f802314bc9fe86c0e76862

Observation 19748567-6472-4a27-9498-f1b181565b79 · outbound

This paper cites an unresolved cited work.

Subgroups of a free group with every growth rate Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:19:44.541473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.380920Z digest=sha256:394deff213dfc3e1c572cf3e233bdd7d2d2304dadb8ad7c9f8c8385f9694f3c5

Observation d7b7aef6-09a0-4104-a4eb-4a25dce8e2dc · outbound

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

Subgroups of a free group with every growth rate On the spectral radius of the non-backtracking matrix of the configuration model

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T21:19:44.384627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:19:44.384627Z digest=sha256:5cee0a2f89fa8685c495d1631076a468066f1c039e140f2827bcc86cb581fbda

Observation 31899655-69dc-4924-afa9-5938796e9d2a · outbound

This paper cites an unresolved cited work.

Subgroups of a free group with every growth rate Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:19:44.525625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.389659Z digest=sha256:61614e9db4979512ff2013394b90f5aea8c6c03b0e2463f14828b2085c426682

Observation 5ce9e1e4-482c-468a-91e8-ac209c209f63 · outbound

This paper cites Mohar and W.

Subgroups of a free group with every growth rate Mohar and W

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:19:44.507814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.393575Z digest=sha256:2b9dfdd2dba57f582b94e41cd6fcc5d42a037095736c9a6371658d6cc3958807

Observation a8a76119-5c35-4e4f-beb6-d179b5a7321f · outbound

This paper cites an unresolved cited work.

Subgroups of a free group with every growth rate Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:19:44.496878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.397183Z digest=sha256:e44daf946fd42a8c1dc1ce0928273d29ad3c9b8c0a75749901e8e460d8df923d

Observation bdca020a-9aef-42bc-bc2d-2e16dd759d2c · outbound

This paper cites an unresolved cited work.

Subgroups of a free group with every growth rate Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:19:44.485323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.401188Z digest=sha256:b0152194fb371b248c003d878627a7f86a262e44ea6520d10a90f78680cac976

Observation a7cfe0ff-b848-492c-a5a0-bce5466f89eb · outbound

This paper cites an unresolved cited work.

Subgroups of a free group with every growth rate Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:19:44.476094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.404970Z digest=sha256:bb04bdf374e9dac266796094c85ba3eb2819216c96c8b0d06e45cebd6dbe7540

Observation ce43c406-40bf-4fc1-b021-f2d61a452cde · outbound

This paper cites an unresolved cited work.

Subgroups of a free group with every growth rate Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:19:44.465256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:19:44.408281Z digest=sha256:b2fe23c366d162efa3b1f77531f977c363c51761201b2132ea6bc24f78230bd3

Pith citing papers

Observation f685a5d9-867a-4d2e-abe0-477022641426 · inbound

On the growth spectrum of hyperbolic groups cites this paper.

On the growth spectrum of hyperbolic groups Subgroups of a free group with every growth rate

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-07-03T03:07:34.423003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-03T03:02:59.929788Z digest=sha256:8304c75118f32bbf347c9dcdc823206dced26b5b0b3bd25b4cab3c8c91f6e35a

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

Critical-exponent stratification and inverse realization on biregular trees cites this paper.

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.

source=pdf_text observed=2026-08-01T08:18:33.558517Z digest=sha256:e20970f7b726bc9f51c0c398b5851cbd1f0320613b62c560e4e1de15dc1caebe