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Paper Citation Record · LEDGER

Codimension 2 drawstrings with scalar curvature lower bounds

As of 11 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 2026-08-11T06:34:44.6726+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.

source=arxiv_source observed=2026-08-10T20:23:13.063565Z digest=sha256:58efc998de77e4e035272f948c3bb1352e844011defc35e358157a1f27467230

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
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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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.068834Z digest=sha256:fbf6d01496d356b431461847930ca2d8f4b98d3a89801271121b06ae9130d7cf

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.072772Z digest=sha256:28bc957ad188615c8c9625fe0f72c5b61f326e9ddbc277378e115ffcd4181954

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
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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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.077012Z digest=sha256:a5baf0c39c5b170cdcaacd12efe5330318c2df1f597d8c57d30d079a200a0b30

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.081355Z digest=sha256:fa8322726226aedab2bd39f1dd6594b6a53953fd404c1677bd48b889c8ad10d2

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.

source=arxiv_source observed=2026-08-10T20:23:13.085303Z digest=sha256:9d454aa14bcf70d9eebc9a0f8f90b2f8021b472488890b360c1ff4fad90e5446

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.089555Z digest=sha256:cdfc9dc0860e87643394c1e134c8a116630773d553db5877d88e0dc1a8667f50

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.093389Z digest=sha256:c33faad3a1bb5bea2b5eb639e9d313c1cad965c128b2850228ebeb665479412a

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.097269Z digest=sha256:62b53b0e0a387148b467bd8ebc93965e2b287736c23db43c478b99a068b28b7b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.101214Z digest=sha256:e7d14b41b9ba0a31abc9a5f84d6817fdf25f7edb29a25676ffae91dd490d2660

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:23:13.106395Z digest=sha256:4d15f038ef1d7757a81d2f384f359ef0ac5c8a772c011d6adcc885a4e22787f9

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.111427Z digest=sha256:396feec544d97736675e621a44bce62006318816fed2457433b9e3b472672436

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.115255Z digest=sha256:b9b884dcc02da8e22c0f25a322223136d795b823160361fcea5d105bbee6e22e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.119725Z digest=sha256:77c53a9fbe6ec8ef0ab11a2c660b67762adb3e6f0540ed043207c6ae4242a0f4

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:23:13.123762Z digest=sha256:d3e440591c353200882f4d0e52902bc023d577de419b6d773690b30df4916bb4

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.

source=arxiv_source observed=2026-08-10T20:23:13.128337Z digest=sha256:357671790a97e029a4fcf23da8bb749e2747a98b1698d55e4a90127de4bfdaa2

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.132710Z digest=sha256:3f7d8b43d5d7ca437f06317a69e4316b952d375615c60871ebbb50963bb012de

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.137078Z digest=sha256:4c4a5a17249ad4660f13cd01731470f699867ac6de8f77a10c2cf269fd442f76

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.140771Z digest=sha256:345476ddab02c3386cd95944207995f024475721141922abbf081a152f70c2ba

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.144612Z digest=sha256:86a1f1c0f06c09288171715a9427026ca32461b3373856c91ef043171ca0a53b

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.

source=arxiv_source observed=2026-08-10T20:23:13.148774Z digest=sha256:0ddfc8340c1dc34531c0a13a63f29b6170b0312d6160a075277888c2632e20f2

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.153238Z digest=sha256:f4d2af88f703d0b695e33cb06d7643edb88f8a8de437c9a309787636ece9f350

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.156891Z digest=sha256:1b8c1767a5141b894b0c8f8cc50a44a1c9c060e6149fc7fb85b59a13ef269b58

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.160525Z digest=sha256:b61017f3b72a0390277cbfecb7b9d8b8fe8feeacc564dec6747d0452e6fec8f8

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.

source=arxiv_source observed=2026-08-10T20:23:13.164034Z digest=sha256:6a45f5c9f203ae0fa53235c2f105ecfed8c8ec0cbf62345ae23eb51975127f7d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.168358Z digest=sha256:2950daaf2f3bd5efe2da5a7fe189558ece00acb54ba745220f5d8a62504b0ecb

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T20:23:13.172124Z digest=sha256:479a155b9e1d243f987c94595cc50f785a11b0cf493105c3783960d64f977dbe

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.

source=arxiv_source observed=2026-08-10T20:23:13.175697Z digest=sha256:2245764fccc03c737acce2679903e5f6701f6152e14945b6ecf6ed000fa6e91c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-10T04:16:45.621559Z digest=sha256:29fa5beac86f8b05d7e8810fe6dbb046feba79a2d64d6fd2a93d0616fc03c680