Paper Citation Record · LEDGER

The Heintze-Karcher inequality for metric measure spaces

As of 23 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.06146.

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

pith.paper-citation-record.v1
1908.06146 v3

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:07:18.669564Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

26 of 26 outbound references displayed

verified exact1
verified fuzzy3
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0fe1770-6acd-478e-a5ac-9822cf04a618 · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:19.116457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5ade204c-1f6b-4a29-aa62-f197648537a7 · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:19.097878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 669784d5-b51b-4b68-ae00-de359300c57b · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:19.080821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bec2ec81-fb3f-4b83-ab63-15f1a6bd6a57 · outbound

This paper cites 33, American Mathematical Society, Providence, RI, 2001.

The Heintze-Karcher inequality for metric measure spaces 33, American Mathematical Society, Providence, RI, 2001

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.551937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c710947e-20ab-46fb-a76b-d23a6f4e8b35 · outbound

This paper cites 99 (2014), 136--151.

The Heintze-Karcher inequality for metric measure spaces 99 (2014), 136--151

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.559488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc36858b-7e62-49ce-a6f4-90894165b70d · outbound

This paper cites Caffarelli, Mikhail Feldman, and Robert J.

The Heintze-Karcher inequality for metric measure spaces Caffarelli, Mikhail Feldman, and Robert J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:07:19.034613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d0b6d3cb-3086-4a72-9370-d7a348b16742 · outbound

This paper cites The Globalization Theorem for the Curvature Dimension Condition.

The Heintze-Karcher inequality for metric measure spaces The Globalization Theorem for the Curvature Dimension Condition

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.572726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d50c6fdd-f99e-46fb-b2b1-b20b54417934 · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.578334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d532727e-473f-4d09-8e4f-91e5cfa7e97e · outbound

This paper cites New formulas for the Laplacian of distance functions and applications.

The Heintze-Karcher inequality for metric measure spaces New formulas for the Laplacian of distance functions and applications

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.587148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38483b18-9b05-4b36-aa5e-54b9f2165101 · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:19.003970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 310fc652-205b-41fe-9993-df5abc3aece8 · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.597892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de1165fb-8373-4236-9ce3-2089f5511dac · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:18.967652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 79feb0b1-86a3-4fdd-a97d-e272632cc69e · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.608212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38d7e095-8640-44df-a6a6-0160267d4a72 · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:18.941624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0459bafc-15a6-46ee-b401-dd4a7ef34191 · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.617814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6363ad3f-4bcc-4270-8d30-c0fcb11202d3 · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:18.913882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b4d30d0b-dae2-47b1-ab02-c2fe5a95bca1 · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-14T13:07:18.715998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1004e03e-4bd4-479a-bf39-3c709005a09a · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:18.896667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f1621589-3327-4b94-aee6-7c210974c7eb · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.636232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c06a4381-6c30-44ab-a371-7a5a2fbfc2fc · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:18.868698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 66299a95-c6e2-4ff2-87d0-04dbb0daa33f · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.645297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39c9e253-e34a-41ba-83d3-8de6ee9dcda9 · outbound

This paper cites Marques and Andr\' e Neves, Min-max theory and the W illmore conjecture , Ann.

The Heintze-Karcher inequality for metric measure spaces Marques and Andr\' e Neves, Min-max theory and the W illmore conjecture , Ann

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:07:18.842050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dacd08c3-43e5-46cd-9bd3-bf76e6912d2e · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:18.825249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ff65dc1f-ca40-4bf3-8f8f-cee9e6e73eef · outbound

This paper cites an unresolved cited work.

The Heintze-Karcher inequality for metric measure spaces Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:07:18.808068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 914d63a3-9a8a-4456-8304-4a1072e1b232 · outbound

This paper cites II , Acta Math.

The Heintze-Karcher inequality for metric measure spaces II , Acta Math

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-14T13:07:18.664600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d00b924-6e86-42cc-91a4-22b3a9558374 · outbound

This paper cites 338, Springer-Verlag, Berlin, 2009.

The Heintze-Karcher inequality for metric measure spaces 338, Springer-Verlag, Berlin, 2009

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:07:18.780114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.