Paper Citation Record · LEDGER

Codimension 2 drawstrings with scalar curvature lower bounds

As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2501.09149.

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

pith.paper-citation-record.v1
2501.09149 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:23:13.175697Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T04:16:45.621559Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T12:06:01.167774Z

Reference resolution

28 of 28 outbound references displayed

verified exact0
verified fuzzy17
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ef93a23-5ffd-4c2d-adda-0d68829ae69c · outbound

This paper cites On the Stability of Llarull's Theorem in Dimension Three.

Codimension 2 drawstrings with scalar curvature lower bounds On the Stability of Llarull's Theorem in Dimension Three

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T20:23:13.063565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a78e0e42-871b-4bdf-9ec0-7ddc33b5ef17 · outbound

This paper cites an unresolved cited work.

Codimension 2 drawstrings with scalar curvature lower bounds Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:23:13.512548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6cab542c-ffd7-446a-b886-3c2496817ebc · outbound

This paper cites Basilio, J.

Codimension 2 drawstrings with scalar curvature lower bounds Basilio, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.501284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 09130425-48f7-454d-97bf-53bad45e507b · outbound

This paper cites an unresolved cited work.

Codimension 2 drawstrings with scalar curvature lower bounds Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:23:13.490107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2e228f36-f756-41ae-96ad-d1ab939bb0ba · outbound

This paper cites Basilio and C.

Codimension 2 drawstrings with scalar curvature lower bounds Basilio and C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.479639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 969cecf8-a661-495a-9f1a-c9d3b1013e06 · outbound

This paper cites Minicozzi, II.

Codimension 2 drawstrings with scalar curvature lower bounds Minicozzi, II

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T20:23:13.085303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02ea3cca-62c0-40c1-95b5-cc1e604ddf39 · outbound

This paper cites Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds.

Codimension 2 drawstrings with scalar curvature lower bounds Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.462487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ce7e6c70-7bc2-4043-ac01-07f0e3d0313b · outbound

This paper cites Stability of euclidean 3-space for the positive mass theorem.

Codimension 2 drawstrings with scalar curvature lower bounds Stability of euclidean 3-space for the positive mass theorem

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.451377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7ccd86b2-ffb0-44dd-be6b-d463d8537e84 · outbound

This paper cites Blaine Lawson, Jr.

Codimension 2 drawstrings with scalar curvature lower bounds Blaine Lawson, Jr

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.440780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1e462a61-8145-4dfe-885c-e6ca0d4b8fe0 · outbound

This paper cites Dirac and P lateau billiards in domains with corners.

Codimension 2 drawstrings with scalar curvature lower bounds Dirac and P lateau billiards in domains with corners

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.429733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1c7ee870-f315-4e8f-9116-fa3a4ea9444e · outbound

This paper cites Four Lectures on Scalar Curvature.

Codimension 2 drawstrings with scalar curvature lower bounds Four Lectures on Scalar Curvature

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T20:23:13.106395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3db4b974-2037-49de-b653-97ea48c0d61d · outbound

This paper cites Huisken and T.

Codimension 2 drawstrings with scalar curvature lower bounds Huisken and T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.419240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f15c53a7-a8aa-4617-9e27-cb4bbd4f89df · outbound

This paper cites Stability of L larull's theorem in all dimensions.

Codimension 2 drawstrings with scalar curvature lower bounds Stability of L larull's theorem in all dimensions

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.406387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6691f5bd-2970-402d-92de-196073716377 · outbound

This paper cites Kazaras, Marcus A.

Codimension 2 drawstrings with scalar curvature lower bounds Kazaras, Marcus A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.394178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3c66f690-17f4-48fb-8d6b-5250f595b5e8 · outbound

This paper cites Scalar curvature and volume entropy of hyperbolic 3-manifolds.

Codimension 2 drawstrings with scalar curvature lower bounds Scalar curvature and volume entropy of hyperbolic 3-manifolds

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T20:23:13.123762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9a68ea8-d59d-4d59-af5a-963fe4cb5a0f · outbound

This paper cites $d_p$ convergence and $\epsilon$-regularity theorems for entropy and scalar curvature lower bounds.

Codimension 2 drawstrings with scalar curvature lower bounds $d_p$ convergence and $\epsilon$-regularity theorems for entropy and scalar curvature lower bounds

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T20:23:13.128337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbca2382-5c8e-4f5b-bd14-3983561c330b · outbound

This paper cites an unresolved cited work.

Codimension 2 drawstrings with scalar curvature lower bounds Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:23:13.381069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7729162c-fd4b-43c0-bd58-287df129e88a · outbound

This paper cites Sharp estimates and the D irac operator.

Codimension 2 drawstrings with scalar curvature lower bounds Sharp estimates and the D irac operator

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.369334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 54a67a27-3fee-4d76-8303-a71eb7fdfe01 · outbound

This paper cites d_p convergence and -regularity theorems for entropy and scalar curvature lower bounds.

Codimension 2 drawstrings with scalar curvature lower bounds d_p convergence and -regularity theorems for entropy and scalar curvature lower bounds

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.356269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9d08621e-2025-454d-93ee-4f7f0153aa50 · outbound

This paper cites Lee and Christina Sormani.

Codimension 2 drawstrings with scalar curvature lower bounds Lee and Christina Sormani

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.343994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b867eb8b-4aa7-4eb7-9111-97260bbebfc7 · outbound

This paper cites Metric limits of manifolds with positive scalar curvature.

Codimension 2 drawstrings with scalar curvature lower bounds Metric limits of manifolds with positive scalar curvature

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T20:23:13.148774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95e2a837-f6e4-4d3e-993f-07f452ec6833 · outbound

This paper cites Conjectures on convergence and scalar curvature.

Codimension 2 drawstrings with scalar curvature lower bounds Conjectures on convergence and scalar curvature

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.331983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 438a59eb-7431-4594-bb20-8ccfcfefe509 · outbound

This paper cites An extreme limit with nonnegative scalar.

Codimension 2 drawstrings with scalar curvature lower bounds An extreme limit with nonnegative scalar

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.319395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 25c619c8-81ba-4049-8be0-a7e8fd9b08a0 · outbound

This paper cites The intrinsic flat distance between R iemannian manifolds and other integral current spaces.

Codimension 2 drawstrings with scalar curvature lower bounds The intrinsic flat distance between R iemannian manifolds and other integral current spaces

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.306289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a50ccfa6-456c-4675-a449-7a9517521bf9 · outbound

This paper cites Schoen and S.

Codimension 2 drawstrings with scalar curvature lower bounds Schoen and S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T20:23:13.164034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4548af3a-61fd-42a9-9e7d-d1b56f507c51 · outbound

This paper cites On the proof of the positive mass conjecture in general relativity.

Codimension 2 drawstrings with scalar curvature lower bounds On the proof of the positive mass conjecture in general relativity

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.286054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c452e8a4-b60b-4926-b7d0-2b18cc004e66 · outbound

This paper cites A new proof of the positive energy theorem.

Codimension 2 drawstrings with scalar curvature lower bounds A new proof of the positive energy theorem

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:23:13.273916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 88f17943-e35e-4667-b79e-6743e8294cf6 · outbound

This paper cites On the Gromov-Hausdorff limits of Tori with Ricci conditions.

Codimension 2 drawstrings with scalar curvature lower bounds On the Gromov-Hausdorff limits of Tori with Ricci conditions

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T20:23:13.175697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7f0e306e-4113-4141-8283-f6e6ae776d2d · inbound

Quantification of scalar curvature under $C^0$ convergence using smoothing cites this paper.

Quantification of scalar curvature under $C^0$ convergence using smoothing Codimension 2 drawstrings with scalar curvature lower bounds

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-11T12:06:01.176343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.