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Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 2 inbound Pith citation observations for arXiv:2412.12479.

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

pith.paper-citation-record.v1
2412.12479 v6

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:15:42.231033Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:04:00.524139Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T04:56:45.945741Z

Reference resolution

10 of 10 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61e08ec5-72c5-4425-8de4-53517c43c248 · outbound

This paper cites Agmon, A.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Agmon, A

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T14:15:42.194444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:15:42.194444Z digest=sha256:a5d958866824ef0b7f760e379eea6446a4af96687045dfb937c9b88feff78f67

Observation 61f6bff0-2a8b-4324-bd6d-4a2cd34d8611 · outbound

This paper cites Akutagawa and B.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Akutagawa and B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:42.448992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:15:42.198969Z digest=sha256:04b0804019c033cf987b6a09eeabf0f3a80bb0a1669497c439f7fa64e9a6903e

Observation a41d1261-8944-4b12-8f11-89a128041bca · outbound

This paper cites Carlotto and C.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Carlotto and C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:42.436333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:15:42.203666Z digest=sha256:bfcbc95856b812d8a405b2028c3db009cfd0149dd00a2b5112fcb2958fcd64f7

Observation 74e8ca2f-574c-4864-be31-074dc350fdb9 · outbound

This paper cites Cherrier.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Cherrier

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:42.422924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:15:42.207785Z digest=sha256:f2bc0cf6d354e9f0a37422e41bd778c4a5593eae4eb4d31c37fd8c319ab80729

Observation e8125d03-9d11-49aa-9e3f-5c2c03b757a0 · outbound

This paper cites an unresolved cited work.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:15:42.410869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:15:42.211704Z digest=sha256:bfc6c1a52278436271e649ac366fe909a6e38d75a5c40efae2ddc0f3114b1b98

Observation c479896b-0cc4-4c4d-b7e3-5550225004f1 · outbound

This paper cites Positive scalar curvature and exotic structures on simply connected four manifolds.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Positive scalar curvature and exotic structures on simply connected four manifolds

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:15:42.366582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:15:42.215925Z digest=sha256:5f9ba1c09181ad51b20f6af7d5caecd9e3184e2c98541e258790845757488b14

Observation 09a426b8-5a7e-4518-a63b-dca71f4ca456 · outbound

This paper cites an unresolved cited work.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T14:15:42.219914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:15:42.219914Z digest=sha256:c4733dc887d2e9c4c8c7eb8c5dbdce6c9565117babd1e056d5d9b499074ac13e

Observation 5257542c-b4e0-4214-b4af-581db8970634 · outbound

This paper cites Rosenberg.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Rosenberg

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:15:42.390850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:15:42.223460Z digest=sha256:2d1424e2a0ccd29da2d5eb9371544fc20e6a881054d80174734892d6fa5fa596

Observation fbdf8fef-adbd-4fe1-97d1-49848e1ef039 · outbound

This paper cites Ruberman, S.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Ruberman, S

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T14:15:42.227081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:15:42.227081Z digest=sha256:1e040cb11d06dbe1dbe1c488de25dfa01aa37ed95dc22e0407e2b2656e15d3c0

Observation 26fccd79-236f-4e0b-9b29-6856173aee2e · outbound

This paper cites an unresolved cited work.

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:15:42.379098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T14:15:42.231033Z digest=sha256:70b155a22b69fb0fa4faf9e93bbbd23986db8eada27df5be88326e4a81e6dd8f

Pith citing papers

Observation 4b4131bb-17ec-4f69-b9b4-249e44ae812c · inbound

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

Scalar and Mean Curvature Comparison on Compact Cylinder A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T19:04:00.524139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:04:00.524139Z digest=sha256:1cefafd590682d42c61d3030cdb7502d66dcc9535690ffddaa916d727de73698

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

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

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:f1d0b3beec60e7176ee96b0ab86336dbc47b2d31dcc89168dc26d1cfddef5814