Pith. sign in

Paper Citation Record · LEDGER

A hardness of approximation result in metric geometry

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.02824.

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

pith.paper-citation-record.v1
1908.02824 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:43:58.612765Z

measured 19 of 19 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

19 of 19 outbound references displayed

  • verified exact2
  • verified fuzzy12
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fb34b183-76d6-41ad-abac-d901530d61cb · outbound

This paper cites Scalable spaces.

A hardness of approximation result in metric geometry Scalable spaces

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:43:58.685500Z

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=pdf_text observed=2026-08-14T14:43:58.511592Z digest=sha256:73e030ae36b06911e30c546149c54cd9d30b31f1f62494dd94004442d16e0eac

Observation fda58d46-7834-46ad-8117-f2de2590f649 · outbound

This paper cites Lipschitz null-homotopy of mappings $S^3 \rightarrow S^2$.

A hardness of approximation result in metric geometry Lipschitz null-homotopy of mappings $S^3 \rightarrow S^2$

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:43:58.658633Z

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=pdf_text observed=2026-08-14T14:43:58.517890Z digest=sha256:06ba1496d5ccf71278eed9f26d1492e7a87116abe884013c178f17c4b5771802

Observation fe6ac8c8-2ee6-4613-87dd-23eed4d1b9a8 · outbound

This paper cites an unresolved cited work.

A hardness of approximation result in metric geometry Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:43:58.986375Z

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=pdf_text observed=2026-08-14T14:43:58.522914Z digest=sha256:cdd7ed62f9f9df7b56a89932afb07e1d51aa893fc87a88de52ee89c241dcd4a0

Observation 3f784e24-4432-42a3-864a-50b1bc7e4149 · outbound

This paper cites an unresolved cited work.

A hardness of approximation result in metric geometry Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:43:58.960504Z

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=pdf_text observed=2026-08-14T14:43:58.528072Z digest=sha256:23f29edc1ccbc71cdb7adbbf52c80fbbc2b463fd0446c66a7f2a2712b488f7ef

Observation 944e489d-5aaf-4067-b651-be783f274453 · outbound

This paper cites Dinur, Approximating SVP∞ to within almost-polynomial factors is NP- hard, Theoret.

A hardness of approximation result in metric geometry Dinur, Approximating SVP∞ to within almost-polynomial factors is NP- hard, Theoret

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.943373Z

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=pdf_text observed=2026-08-14T14:43:58.533522Z digest=sha256:1082f77f50c0808c7c365ec6ef4cb78b68c7489b8c744170c8dcda9f8667c91b

Observation 530a46f5-c1dc-4499-b932-7c38723ff45d · outbound

This paper cites an unresolved cited work.

A hardness of approximation result in metric geometry Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:43:58.929549Z

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=pdf_text observed=2026-08-14T14:43:58.539853Z digest=sha256:199dd53bea124e0086b450640be10c6ee888db5a45e0f88f68932997616df36b

Observation b1078654-c5c7-40af-af59-ae1b31fa0eeb · outbound

This paper cites Dedicata 179 (2015), 91–138.

A hardness of approximation result in metric geometry Dedicata 179 (2015), 91–138

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.917820Z

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=pdf_text observed=2026-08-14T14:43:58.547627Z digest=sha256:47ab2bb62604c1ff1a3d17cf7a976f224d32b4c42a581b6aabd6609f002f1dbf

Observation 883ef078-7fa5-4583-897d-32c28513017c · outbound

This paper cites Edelsbrunner and D.

A hardness of approximation result in metric geometry Edelsbrunner and D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.903148Z

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=pdf_text observed=2026-08-14T14:43:58.556063Z digest=sha256:1a23b3c69fae5361438b07bba388e8c861913d3ff6f06ae82a20a230b259590e

Observation 43c51d64-265b-4429-821d-580ef26c9a77 · outbound

This paper cites Ferry and B.

A hardness of approximation result in metric geometry Ferry and B

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.888609Z

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=pdf_text observed=2026-08-14T14:43:58.560928Z digest=sha256:5943ffec594ace144d7597bec53e016541e2fdff8714228af2ad56c6b9c958c6

Observation d52a9498-d080-4908-bdf7-25c57d775f69 · outbound

This paper cites Filakovsk´ y and L.

A hardness of approximation result in metric geometry Filakovsk´ y and L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.873194Z

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=pdf_text observed=2026-08-14T14:43:58.566013Z digest=sha256:018594ad74c017831495e355095c085032344929a8f195981bf2fded4c578274

Observation b7e3672b-865b-4f1f-b27c-1abe84b26a59 · outbound

This paper cites Gromov, Homotopical effects of dilatation , Journal of Differential Geom- etry 13 (1978), no.

A hardness of approximation result in metric geometry Gromov, Homotopical effects of dilatation , Journal of Differential Geom- etry 13 (1978), no

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.850573Z

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=pdf_text observed=2026-08-14T14:43:58.570118Z digest=sha256:606c10ca81da60b6d61f6ef83b08b99974f38f34913b78a021ccca6a15479306

Observation 04a755ea-ea97-40a6-a415-a75a91ad5de1 · outbound

This paper cites 6, 93–109.

A hardness of approximation result in metric geometry 6, 93–109

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.832971Z

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=pdf_text observed=2026-08-14T14:43:58.575382Z digest=sha256:24129baec0a2c8647e5d5c54fb291c436a7505e5da10c2bcc245eef20a186517

Observation d539accf-6ced-4062-8044-c19e17c75d88 · outbound

This paper cites Blaine Lawson, Jr., Spin and scalar curvature in the presence of a fundamental group.

A hardness of approximation result in metric geometry Blaine Lawson, Jr., Spin and scalar curvature in the presence of a fundamental group

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.812590Z

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=pdf_text observed=2026-08-14T14:43:58.581220Z digest=sha256:3d913902babc01c866683b61f599a48b543d6ec073d220f617d3130bff3c301a

Observation a20b1d63-50a4-4b66-b16c-0f02db17e22d · outbound

This paper cites Guth, Lipshitz maps from surfaces , Geometric & Functional Analysis (GAF A)15 (2005), no.

A hardness of approximation result in metric geometry Guth, Lipshitz maps from surfaces , Geometric & Functional Analysis (GAF A)15 (2005), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.791324Z

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=pdf_text observed=2026-08-14T14:43:58.587902Z digest=sha256:66a005ea1f1020993b24e5ac2fcf06d66824ebe14f13bb093cc4dd69f02cad5c

Observation 1bee2faa-9100-457c-b605-ecf1eec0363e · outbound

This paper cites 6, 1917–1987.

A hardness of approximation result in metric geometry 6, 1917–1987

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.773583Z

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=pdf_text observed=2026-08-14T14:43:58.593522Z digest=sha256:3a2a6499ebdf42c38e49a9d899f6d0f70c659a78b4b98e86e8e96f8b669e7532

Observation 1132714e-a9e3-46fa-ba6d-39e9304c5c64 · outbound

This paper cites an unresolved cited work.

A hardness of approximation result in metric geometry Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:43:58.753402Z

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=pdf_text observed=2026-08-14T14:43:58.598037Z digest=sha256:afcca57a91d6b25550a4bc87becba6e75cff351b245c9f0dbc1cb6a57803e2d5

Observation 03e1208a-36aa-40e7-8601-df28460bf2c7 · outbound

This paper cites Kolmogorov and Ya.M.

A hardness of approximation result in metric geometry Kolmogorov and Ya.M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.737353Z

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=pdf_text observed=2026-08-14T14:43:58.603202Z digest=sha256:7cbb4b15aa3d64407bd6eb0bfbc365fa11216c69be4f9c7b00256495e7b42c56

Observation e96fbc8e-9a72-499d-86a6-f23d49c80c66 · outbound

This paper cites Manin, Plato’s cave and differential forms , Geometry & Topology 23 (2019), no.

A hardness of approximation result in metric geometry Manin, Plato’s cave and differential forms , Geometry & Topology 23 (2019), no

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:43:58.720336Z

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=pdf_text observed=2026-08-14T14:43:58.608210Z digest=sha256:f2f745199c082157090cef6b367dea8a726c98116a31b7311466de605e1d0697

Observation aa74a48f-01b0-4435-b3b9-715a3cf6f1d2 · outbound

This paper cites an unresolved cited work.

A hardness of approximation result in metric geometry Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:43:58.702424Z

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=pdf_text observed=2026-08-14T14:43:58.612765Z digest=sha256:28d090ed901f2e666dd3b0fd8a6424caacea4f5df0343e4f6249a4f1060a3cb7

Pith citing papers

No inbound Pith citation observations are available.