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Paper Citation Record · LEDGER

Poincar\'e Inequalities and Uniform Rectifiability

As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.06420.

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

pith.paper-citation-record.v1
1908.06420 v5

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:02:38.215583Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

31 of 31 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 15c38778-5d14-42aa-b03a-59820ac1d3ca · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.703157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.083570Z digest=sha256:cb3a935d0dfe6748b6a0e7d00f7f17a3259ea59e28e4dd1ff9d8233d43f9ef95

Observation 12af8b6b-1fdc-4531-890b-82d15c214ac2 · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.687542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.088649Z digest=sha256:fc62f0828e8d97ee8f006fd157b883bbcdc8fdc6d643186d085b238570cbd9bb

Observation cfe437bf-cf19-4d58-a37a-bdea547a0167 · outbound

This paper cites Azzam and M.

Poincar\'e Inequalities and Uniform Rectifiability Azzam and M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.670876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.093049Z digest=sha256:dde10d66156b2f64f200797a529c7f2e5bfb6f9248a794a2636ad0003fb22727

Observation e529d299-c1e6-4df7-b531-b61da05f5e66 · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.655912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.097462Z digest=sha256:658a79537275308699de5326c52a6c2c5ef72b995105cb3992fc9f8f9ad3bd83

Observation 32a687ea-cc6f-4aaa-aa65-1a0f6ec794d7 · outbound

This paper cites Cheeger's differentiation theorem via the multilinear Kakeya inequality.

Poincar\'e Inequalities and Uniform Rectifiability Cheeger's differentiation theorem via the multilinear Kakeya inequality

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:38.102338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:38.102338Z digest=sha256:d696763dadafbf812526294defbb8536f663ac486e7862037edbbb163f5df723

Observation 7f68ab8c-bdf8-4441-9481-3450cbd3f7c8 · outbound

This paper cites Bate and S Li.

Poincar\'e Inequalities and Uniform Rectifiability Bate and S Li

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.640024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.107318Z digest=sha256:4c4b51df2fb9e538ffce955143b3e723043ef2855895734955d8c17c86f05b0a

Observation a74a0cb1-e91b-4676-a73f-c9b876175a75 · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.624913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.112147Z digest=sha256:69192a747a8aa53c5d0ace3f2d1bdf4f2b833ac9643f4632a1528c4883550940

Observation f123e494-b0ee-4d87-83f6-64ec7316c24b · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.610458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.116171Z digest=sha256:09055964e0b62b490a8f94485e61184f7761f742204a8e2ae45685dda3c74e67

Observation 51d8a5a2-d817-47b1-9d09-016970f9621c · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:38.120525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:38.120525Z digest=sha256:4cbc45dbb23088a1bb1a77f0c3a766b5795fc18f79c489acef544e5b0e972860

Observation f6cf39f2-430b-4b4f-9ac7-bf8990c0a2ee · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.584754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.124687Z digest=sha256:ccbbe8c3a1b2b84f2d9890e56c4a015bac9b3d04bc46bad021a27b83fbda0bd1

Observation e02b258d-878c-4ac2-af21-4ec084f74889 · outbound

This paper cites David and S.

Poincar\'e Inequalities and Uniform Rectifiability David and S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.568950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.128985Z digest=sha256:6ff2e21c25dd4674dfff3db1a7e80d6f73c89ae5d373348e0bd9db983702e819

Observation 37d9348e-2d74-441e-b3f1-2c0a0cff6fa5 · outbound

This paper cites David and S.

Poincar\'e Inequalities and Uniform Rectifiability David and S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.554481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.133252Z digest=sha256:fe5df6c32a5d3ef2d7f1a1d665ca1550f0bf6ea8540bfbb7a7033c84aa75b85b

Observation 655e2c78-d09f-4657-b4b9-eafa4785f6f4 · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.540522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.137645Z digest=sha256:c79b8fa79e75c851416197f7918788a2022c36046792584fc54b5d9f5cd38a2a

Observation b5b61e44-b110-4c46-b008-3eb2cc1a0245 · outbound

This paper cites De Philippis, A.

Poincar\'e Inequalities and Uniform Rectifiability De Philippis, A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.525963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.142417Z digest=sha256:4e44befd968c8295ad339ed572b3500ecdf983d95f212ba435c61fc9f0c4c529

Observation 8d0461f0-1793-4995-a324-7bf40657f828 · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.511185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.146665Z digest=sha256:3c63a27f26517fbac54b35079d468441656b84310db09ad73bc04ff32cdac78b

Observation 81fa58eb-6433-447b-b14c-031c9dc8edae · outbound

This paper cites Heinonen.

Poincar\'e Inequalities and Uniform Rectifiability Heinonen

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T13:02:38.150985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:02:38.150985Z digest=sha256:c2908ead581be5b387af94402162095488685c5c5aeb7647deba892b2ce49e31

Observation ef432e9e-7562-4865-a989-7ec7b59abbd0 · outbound

This paper cites Heinonen and P.

Poincar\'e Inequalities and Uniform Rectifiability Heinonen and P

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.486502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.155267Z digest=sha256:3ccfc52758792691464cb699711b8eacd50ac29aeab8ee869fd48cc76fd557ca

Observation c5886395-365b-4a27-a350-c846037eb191 · outbound

This paper cites Non-homogeneous Tb theorem and random dyadic cubes on metric measure spaces.

Poincar\'e Inequalities and Uniform Rectifiability Non-homogeneous Tb theorem and random dyadic cubes on metric measure spaces

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.471539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.159592Z digest=sha256:3d5ae9c0388d2fe8ee8b2ed437940b07f2a42cf6b4e4d1b53eb0f33c442eed75

Observation d6b7d7b0-9574-446a-876f-53c3d9fcf063 · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.456731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.163910Z digest=sha256:c4a394380477a926f8c801c503cad8b9db2af7ea56fc2890d97fdc4e98eaca6a

Observation f6c6752f-9988-479f-b2c8-24f8b2b8e91f · outbound

This paper cites Modulus and the P oincar\' e inequality on metric measure spaces.

Poincar\'e Inequalities and Uniform Rectifiability Modulus and the P oincar\' e inequality on metric measure spaces

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.441975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.168550Z digest=sha256:2dd99b59b8b3ecb6181dd05fc87cb651f36c3dc9c711b0a72f6aee7d0ff918d1

Observation 04afbb4b-1add-43a6-bb95-82054f91731f · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.427667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.172884Z digest=sha256:af7e74cc047851e7d5f3b2defef741ab7b9a9fee8ce818c35c9bc5931c1d6b2e

Observation 66d9ff9d-ef5c-4e56-9920-3badcba2246a · outbound

This paper cites Keith and X.

Poincar\'e Inequalities and Uniform Rectifiability Keith and X

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.413708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.177317Z digest=sha256:d1604a928f0f55eedd9d9ac614c2fe1eac6ed0d69175573d06e762f75aac2a21

Observation 4a55c635-1503-48f2-95de-f14712e04c57 · outbound

This paper cites Kleiner and J.

Poincar\'e Inequalities and Uniform Rectifiability Kleiner and J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.399820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.181387Z digest=sha256:bb13a1cd487987bb4583a729cfea2bb1830696b7ea68d49c05c509c28a594a4e

Observation 3560ac68-521d-49ba-9d1e-d9388a0e9ce2 · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.385876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.185475Z digest=sha256:25982505e47028d720d021f1ade1e81421890b34c1213657be09c3956a3f0e48

Observation b9941fe8-c6c8-45d0-80e8-6c1ff1851f2c · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.370351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.189929Z digest=sha256:7f8546fd146f03f5c0ebac86ddcb67fceb7d888baa26799fa2043af6f0f6c353

Observation e2f82223-c422-4ba0-bc39-4ebb68ae5af7 · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.354249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.193820Z digest=sha256:7fd192622607036c3af92dbcdf1b2108af352576854fb176a3e74588f60ae11b

Observation 25c6a4e8-9e39-4f34-b7cd-32bc06652b8f · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.340159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.197852Z digest=sha256:aaf7e401660e498a5b2a439f4d6c2ebddbbb4f8c9c3e0208b5d33cc6530af6d5

Observation f23ae5a9-8c09-4d2d-918a-e3cd1e8fb0d9 · outbound

This paper cites Vargas Rey, N.H.

Poincar\'e Inequalities and Uniform Rectifiability Vargas Rey, N.H

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.325043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.201916Z digest=sha256:25a82f11b527387990b6d9d58a8590141523ef157297ab49b795c4fffe2053c8

Observation f6ee940e-4af1-4f08-91f8-1b51cbdd6f92 · outbound

This paper cites an unresolved cited work.

Poincar\'e Inequalities and Uniform Rectifiability Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:02:38.308743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.206322Z digest=sha256:2c4af031bb2510578a707ac589c1fb9af82898db1a9988efd7deb0cf21737b26

Observation a1dee188-671d-4740-ae50-9245fe81f967 · outbound

This paper cites Tangent points of lower content $d$-regular sets and $\beta$ numbers.

Poincar\'e Inequalities and Uniform Rectifiability Tangent points of lower content $d$-regular sets and $\beta$ numbers

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:02:38.259592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.210738Z digest=sha256:fc5b488d292c8315f87cc34a9948a7bc8c5d6d99312cb7535ff32809a5c6869c

Observation a25f7b3d-b867-4547-b75d-c98c11ffd319 · outbound

This paper cites Vuorinen.

Poincar\'e Inequalities and Uniform Rectifiability Vuorinen

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:02:38.293600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:02:38.215583Z digest=sha256:2f4177d1ccac14239932e8234ad070b3ef85ced4fde43f3da3b8bf8e0910e68e

Pith citing papers

No inbound Pith citation observations are available.