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Paper Citation Record · LEDGER

Spanning trees of bounded degree in random geometric graphs

As of 19 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2505.16818.

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

pith.paper-citation-record.v1
2505.16818 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:10:32.793437Z

measured 31 of 31 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:38:44.482602Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T04:38:54.048442Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bcb23741-cc3e-4120-a065-0685e5260dac · outbound

This paper cites Ajtai, J.

Spanning trees of bounded degree in random geometric graphs Ajtai, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:42.419126Z

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.

source=pdf_text observed=2026-08-07T15:10:30.446106Z digest=sha256:e22fff331814d45d746d083104c4e7ff89c47d3953b1ea638be79c65e79ba366

Observation 3413ebcf-2c35-4def-8e89-275752498991 · outbound

This paper cites Alon and R.

Spanning trees of bounded degree in random geometric graphs Alon and R

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:42.213272Z

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.

source=pdf_text observed=2026-08-07T15:10:30.509717Z digest=sha256:da26cb4ea79fe300e0e48a490af4c8b964d99c6a103519ac1159f8de80d9c11b

Observation b737a221-8370-4aed-abbe-01e85d7bfa4f · outbound

This paper cites Balogh, B.

Spanning trees of bounded degree in random geometric graphs Balogh, B

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:41.991134Z

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.

source=pdf_text observed=2026-08-07T15:10:30.576494Z digest=sha256:9979e0a25b3f2618ebf2c9cc6e5a121aed539529f527d39359c9cfdf035dafb8

Observation fc95f751-2e83-4307-85af-edb163255088 · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:41.773474Z

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.

source=pdf_text observed=2026-08-07T15:10:30.692013Z digest=sha256:b2465289efeafb765ec1f2341871265765c1b3c859065f2c479c45d6d8a33cf1

Observation 6b6e8aaa-6e0a-4fe5-b8fc-84ff1495ffed · outbound

This paper cites Bollobás.

Spanning trees of bounded degree in random geometric graphs Bollobás

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:41.635205Z

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.

source=pdf_text observed=2026-08-07T15:10:30.822986Z digest=sha256:33d2f127714e69363f617564c43b24556f8aaae77a77fa364119e5ef04fc9fb6

Observation b094ed0c-0f21-43fd-90fe-90f7e77d13d2 · outbound

This paper cites Bollobás and A.

Spanning trees of bounded degree in random geometric graphs Bollobás and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:41.445391Z

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.

source=pdf_text observed=2026-08-07T15:10:30.861672Z digest=sha256:368fa931ca17618010e27d2fecc24c4f28e923b9273d6d04eeebd2fd16476664

Observation 0b290ba2-b33d-4f59-b67c-81dbff58f4fc · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:41.244086Z

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.

source=pdf_text observed=2026-08-07T15:10:30.893399Z digest=sha256:c2636432e64d9d819e9b639c6bac68bda1d531adb63c48a4be76ec4afd57e7b5

Observation f8cfc60c-6251-4c63-85a5-284fa0c55bda · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:41.087319Z

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.

source=pdf_text observed=2026-08-07T15:10:30.957256Z digest=sha256:aaa253badd0042230a39154f1ef84d37eac58a96109c7c643921d0249e7cd75c

Observation a22f840a-ec37-4130-ba19-48ea91b93e22 · outbound

This paper cites Dvořák and S.

Spanning trees of bounded degree in random geometric graphs Dvořák and S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:40.936844Z

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.

source=pdf_text observed=2026-08-07T15:10:31.047295Z digest=sha256:b36db2940e542e1689e15e99e81b6ea2421fdd26d6660be2d80253c0b8fba1dc

Observation 647060da-d690-4371-aeba-e5046ba3ba9e · outbound

This paper cites Erdős and A.

Spanning trees of bounded degree in random geometric graphs Erdős and A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:40.764814Z

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.

source=pdf_text observed=2026-08-07T15:10:31.121090Z digest=sha256:c2992f69fed0d0664ce21295e2750591a717875371693860866d44b2e2b9a924

Observation c97493dc-f7d7-482a-9843-a0efd211ee23 · outbound

This paper cites Espuny Díaz, L.

Spanning trees of bounded degree in random geometric graphs Espuny Díaz, L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:40.619094Z

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.

source=pdf_text observed=2026-08-07T15:10:31.203547Z digest=sha256:a1a170e3fafd02ea8a5c6d5111ad4c6790b9492cc65cd598f19aab6abe69c5cf

Observation 17b68476-2d6b-4ad0-b5ed-df5d857cc83e · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:40.486776Z

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.

source=pdf_text observed=2026-08-07T15:10:31.234983Z digest=sha256:49cb54d98b8b563701c19abf65335ed27d7f6a5345b526c3316b0e6d857f4f87

Observation c545d2de-53ed-4c30-b936-587b2b054eea · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:40.347584Z

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.

source=pdf_text observed=2026-08-07T15:10:31.343043Z digest=sha256:5982d67113e5b79f8cef3948c029edcde13802258dfff2a950750307a77413fa

Observation f449a508-1779-431c-95db-a99da353947f · outbound

This paper cites Hefetz, M.

Spanning trees of bounded degree in random geometric graphs Hefetz, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:40.217966Z

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.

source=pdf_text observed=2026-08-07T15:10:31.426033Z digest=sha256:42e03e1e44649a3ff3460039fee6c00587cc40ce52db5b77f5858652d1920b8c

Observation 6755797f-cf4c-4680-9a5e-4e5251ae42cf · outbound

This paper cites Johannsen, M.

Spanning trees of bounded degree in random geometric graphs Johannsen, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:39.661560Z

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.

source=pdf_text observed=2026-08-07T15:10:31.457207Z digest=sha256:402f377aab7f7637ee9a5370845d15905c1e90217a58239d1b992c2cdf15a301

Observation f7b0d800-15e2-47bc-b672-28db6697dc29 · outbound

This paper cites Johansson, J.

Spanning trees of bounded degree in random geometric graphs Johansson, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:39.382106Z

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.

source=pdf_text observed=2026-08-07T15:10:31.517193Z digest=sha256:7a2cf82c26651f191aa02845e1abf417dd6a793c7f63e89b7a580e8f1d67c8fa

Observation 1feecf94-161f-4111-9c73-85737a3ccad5 · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:39.160377Z

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.

source=pdf_text observed=2026-08-07T15:10:31.567690Z digest=sha256:4097725a3dc3c9326e1c15d4acda008d4fa8fcddc3fedd672924123e2ff9373a

Observation 04ec0f8b-2d5a-4186-84a4-6c5572a8129a · outbound

This paper cites Komlós and E.

Spanning trees of bounded degree in random geometric graphs Komlós and E

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:38.933883Z

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.

source=pdf_text observed=2026-08-07T15:10:31.700261Z digest=sha256:a97dd652bb3fa9568a210c4ea09d237c5e7861082bde712940f90ca6ce1b8dd5

Observation e20fec93-1029-418d-b5b6-9a3daccb1bff · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:38.743240Z

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.

source=pdf_text observed=2026-08-07T15:10:31.865525Z digest=sha256:8ee867ddae337d8a56773f13740a3e0670e5611f1ba4a3274c3b99b32dd2d61d

Observation e50cb918-3dea-4bc3-8367-f2c0da0992fc · outbound

This paper cites Krivelevich and A.

Spanning trees of bounded degree in random geometric graphs Krivelevich and A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:38.607957Z

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.

source=pdf_text observed=2026-08-07T15:10:31.984569Z digest=sha256:827f62e501432b8cd6af71a623d6308bd8d55d584163d6e1c0c6e48c8f2aa4a7

Observation d2d3c3f9-0482-4f92-8683-e789165a9cfe · outbound

This paper cites Embedding bounded degree spanning trees in random graphs.

Spanning trees of bounded degree in random geometric graphs Embedding bounded degree spanning trees in random graphs

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T15:10:32.055952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:10:32.055952Z digest=sha256:3cb2f9eb45ac6dd16c67e660fd92fcb1c8e30a8b83215ac3bc5d217a3978e318

Observation 837b5763-eab4-4766-9580-145d843ee6a4 · outbound

This paper cites Sharp threshold for embedding combs and other spanning trees in random graphs.

Spanning trees of bounded degree in random geometric graphs Sharp threshold for embedding combs and other spanning trees in random graphs

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T15:10:32.088357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:10:32.088357Z digest=sha256:760196f843f1afc6ca771196cd085e337128bbf8bbe06b5247bc546dd8498663

Observation b38100e3-3bd9-4fcf-b949-f65a6feb4977 · outbound

This paper cites Montgomery.

Spanning trees of bounded degree in random geometric graphs Montgomery

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:38.091185Z

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.

source=pdf_text observed=2026-08-07T15:10:32.123344Z digest=sha256:69275bf6413371fa7a27ff36c3770012892dd40274075b96fbf2d797816395c1

Observation 74d4fd66-e30a-4ac2-866d-f87fdcef330d · outbound

This paper cites Müller, X.

Spanning trees of bounded degree in random geometric graphs Müller, X

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:35.364787Z

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.

source=pdf_text observed=2026-08-07T15:10:32.197596Z digest=sha256:3fec32e823cc467a71558274967eb764d1339e8d86a8ce01ff9bafd94fccb889

Observation 6277eccc-f611-4963-8c8f-33868791eb6f · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:34.564171Z

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.

source=pdf_text observed=2026-08-07T15:10:32.315233Z digest=sha256:b2755ea0a8819d30d70382f5270d889189bf38985d91d05db5e38f84c5fafc2f

Observation 57e1a58d-8287-4200-bee7-3f71d45a42e7 · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:34.378217Z

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.

source=pdf_text observed=2026-08-07T15:10:32.358580Z digest=sha256:eded7f67a5cc3db58271f748012437c53b7face31a39fa3568a89d6796c45d66

Observation 4b06993e-e6e8-4552-96b2-20b3a49ddce9 · outbound

This paper cites an unresolved cited work.

Spanning trees of bounded degree in random geometric graphs Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:10:33.961045Z

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.

source=pdf_text observed=2026-08-07T15:10:32.422297Z digest=sha256:eea4fd30cbf9535ce35f50131826e0c7b6ca91ee2c99efa1a1531ff755e9914f

Observation 093f4960-9323-4bce-8db5-1f11a86d0121 · outbound

This paper cites Robertson and P.

Spanning trees of bounded degree in random geometric graphs Robertson and P

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:33.669580Z

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.

source=pdf_text observed=2026-08-07T15:10:32.595159Z digest=sha256:ba9fe61c979294647e0cbcd0e483571d3c680c84cf77043d7955ceca87e876c5

Observation f435808e-3501-417e-aaae-37fe2d54ba10 · outbound

This paper cites Ruciński.

Spanning trees of bounded degree in random geometric graphs Ruciński

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:33.394173Z

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.

source=pdf_text observed=2026-08-07T15:10:32.707017Z digest=sha256:6ec8ebb3b72b932c89533a8b0f042de916b78b18fb4b95bc047aac1a59341651

Observation b7fba0f0-f7da-4de8-9dec-6ac69e53f22d · outbound

This paper cites Łuczak and A.

Spanning trees of bounded degree in random geometric graphs Łuczak and A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:10:33.102032Z

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.

source=pdf_text observed=2026-08-07T15:10:32.793437Z digest=sha256:4377fe70bcb03fd06c04e48cac310ec92e0dbf9e5979ab3da4344ed7257c46b0

Pith citing papers

Observation fdc9e3c7-5520-45f1-9e8f-bade50291a01 · inbound

Universality in random graphs via optimal linking systems: trees and beyond cites this paper.

Universality in random graphs via optimal linking systems: trees and beyond Spanning trees of bounded degree in random geometric graphs

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:38:54.196295Z

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.

source=pdf_text observed=2026-08-07T04:38:44.482602Z digest=sha256:20867f21dd1cb2f10fd38398f059d74c364007dc5d31a3e42d0f20af5989bcaa