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Paper Citation Record · LEDGER

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $

As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.08621.

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

pith.paper-citation-record.v1
2607.08621 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T04:47:32.932155Z

measured 21 of 21 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 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

21 of 21 outbound references displayed

  • verified exact6
  • verified fuzzy8
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84bf4551-ddd1-4f4b-9df6-3e26cb0cebd9 · outbound

This paper cites Aubin.Nonlinear Analysis on Manifolds.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Aubin.Nonlinear Analysis on Manifolds

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:06:48.536617Z

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=2026-07-10T04:47:32.932155Z digest=sha256:316a2258724461e2123839c1095c158479a21a69f0b659862a8257a48e0ccf88

Observation 8196311d-3dcc-427c-8c03-d87e923d0349 · outbound

This paper cites Cecchini, D.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Cecchini, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:06:48.538186Z

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=2026-07-10T04:47:32.932155Z digest=sha256:271003223e14215154adb536cab70243cb3105a85df03b16e352af219f9f3681

Observation e9f6a1b5-86af-459c-8094-6c1a68d963df · outbound

This paper cites Cecchini and R.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Cecchini and R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:06:48.539811Z

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=2026-07-10T04:47:32.932155Z digest=sha256:2b22448bf4c1896ec0f0f74d0a8e7aa95638faf991255cfab9b8bb80bac580cb

Observation c53b2358-cf0c-4324-867c-87b49e1492df · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:06:48.541310Z

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=2026-07-10T04:47:32.932155Z digest=sha256:d8af2e00dbb61fdd7fa14101e1605784f1a944c21c20d69a06336396113e5c01

Observation 1007f993-d73c-4dbd-8ff0-8a51b96343b4 · outbound

This paper cites Chodosh and C.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Chodosh and C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:06:48.542925Z

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=2026-07-10T04:47:32.932155Z digest=sha256:5eea9a00ab90907eca252b17da406eb9004ad014e0395e64d544fa5f12923364

Observation 8f5c787e-8e06-4670-968f-ba6e4764d2c7 · outbound

This paper cites A Tutorial-cum-Survey on Self-Supervised Learning for Wi-Fi Sensing: Trends, Challenges, and Outlook.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ A Tutorial-cum-Survey on Self-Supervised Learning for Wi-Fi Sensing: Trends, Challenges, and Outlook

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:56:45.950033Z

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=2026-07-10T04:47:32.932155Z digest=sha256:d16ff663790a7528779ada3ed866445f5f72d757fbe36c23d51fd68a36479a1c

Observation 96e623b5-215e-4f7a-91cf-dad3452ac9dd · outbound

This paper cites Four Lectures on Scalar Curvature.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Four Lectures on Scalar Curvature

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:56:45.955641Z

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=2026-07-10T04:47:32.932155Z digest=sha256:ee3bb023b3076f0720800a9e8869ae8cac1080c7513b91d3457b485906c25b95

Observation 0a7fd645-7472-4003-ba17-ee0387e33e15 · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:06:48.544423Z

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=2026-07-10T04:47:32.932155Z digest=sha256:ee60c7c7a2f69c5f5cdeea7f34003dda187dc619d57a09cdd825a0cfb79f4be2

Observation 4fbe29cb-fffe-4824-a6a0-3b5f8d299059 · outbound

This paper cites Gromov and H.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Gromov and H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T04:56:46.870448Z

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=2026-07-10T04:47:32.932155Z digest=sha256:49396a54e79eda641675ef9e8d598e2eb453e0b38774df7146b4e540fd32b34f

Observation db2075d8-9ced-47ef-be4f-45194589efb1 · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.865259Z

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=2026-07-10T04:47:32.932155Z digest=sha256:1daa57e86c091c90341a6331c48bacd55255c9b3fcf45fd1a363dbc0778b07ec

Observation d1f09475-732d-4035-9322-2ef47e3e5cfe · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.873264Z

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=2026-07-10T04:47:32.932155Z digest=sha256:5cb166b9b422a97342360c4c16d706c2ae906f2481468b519c1e66d771cdbe16

Observation 7c35873d-9108-4a2d-9f22-43bdff002df7 · outbound

This paper cites Rosenberg.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Rosenberg

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T04:56:46.854651Z

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=2026-07-10T04:47:32.932155Z digest=sha256:d67c0aebd8544ce273d5a2251f3279021245e5a693177c0b0be431e901d9d9db

Observation 79b5203f-1f41-45ac-a615-ba37285589a5 · outbound

This paper cites Rosenberg and S.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Rosenberg and S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T04:56:46.850564Z

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=2026-07-10T04:47:32.932155Z digest=sha256:8f5783e994b4bad6e005c23b1dfd11e6d8b94fcfbf3257a9f47de8f5680b2865

Observation 8d459fe1-63ab-40f5-aace-41f288711b9d · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.861004Z

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=2026-07-10T04:47:32.932155Z digest=sha256:35849b97232f5975ff4e62af6ab79cab24583d6366c171ea9c19f80c613a6bf4

Observation 115e319e-6c4c-472d-a519-26aa9b4b48f8 · outbound

This paper cites A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:56:45.947055Z

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=2026-07-10T04:47:32.932155Z digest=sha256:91945acf8c01fbf3e572184af443ef74ecbc1f0ec9379a14bb1cba76a3eb9e91

Observation 947ace1d-cdb2-4f39-97cb-741c78b20657 · outbound

This paper cites Schoen and S.-T.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Schoen and S.-T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T04:56:46.854812Z

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=2026-07-10T04:47:32.932155Z digest=sha256:531929c81d614c0c387dddc61e7c883aaab00838e427ab8010744b45d407bb1e

Observation 4243a593-8f9f-4596-997f-cf844abfb74f · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-10T04:56:45.949897Z

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=2026-07-10T04:47:32.932155Z digest=sha256:60e9ce380a7a61632c58e595bb698810103af51f3d67244eafe8efb3b1263b20

Observation c8c593a3-a0e5-46c4-97e0-c273114188cc · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-10T04:56:45.952701Z

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=2026-07-10T04:47:32.932155Z digest=sha256:8965b41a6f98ac40666f740b129ff9d2fa7a87a59b809980a5150b9b4cf4e65b

Observation 1144e5ad-99bb-4487-a8fe-1aa44e4b456f · outbound

This paper cites Scalar and Mean Curvature Comparison on Compact Cylinder.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Scalar and Mean Curvature Comparison on Compact Cylinder

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:56:45.943876Z

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=2026-07-10T04:47:32.932155Z digest=sha256:e2e1a43d8326c4fb00ceb3a3b43ce02126fc8acba7f485219f3cc7f078b516b2

Observation 731d1c3e-9931-4c2b-911b-4ed7ef1910af · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.863270Z

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=2026-07-10T04:47:32.932155Z digest=sha256:a963383f39484ad01512ebf9e0b5ae511dcca88859e3b9743d2a8b722f06910b

Observation 9d307ffe-0a65-447c-b8bc-644ac9343113 · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.846194Z

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=2026-07-10T04:47:32.932155Z digest=sha256:35baf3ce154eaea8c4f7983801dc56b90885d381763483070bde57bab29cc766

Pith citing papers

No inbound Pith citation observations are available.