Paper Citation Record · LEDGER

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.04442.

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

pith.paper-citation-record.v1
1908.04442 v3

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:56:46.052943Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

22 of 22 outbound references displayed

verified exact1
verified fuzzy5
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c593f500-4ee9-4b7f-a021-46085ac55fc2 · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.417603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 03da00f8-2998-48d8-bda3-57b13425540b · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.406109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8624df31-d2e2-4e15-bc69-a7b5d1fe623e · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.394944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 98134c89-7320-4cd6-8e37-0fceb698319c · outbound

This paper cites C., Hoﬀnung, A.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds C., Hoﬀnung, A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:56:46.382079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8e41b12d-a581-439e-970b-4638b4fc70a7 · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.369941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 80051358-b3e6-4543-88ee-927220deaf1d · outbound

This paper cites Symplectic connections.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Symplectic connections

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:56:46.099672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1b60d1e3-e67c-4583-91da-1b30136f2e64 · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.356331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d1a91383-d9d1-48b2-8a49-8b818a1ab19e · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.342031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d30bfe18-8e0b-4ead-a41c-ee646b6e77a4 · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.325411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 65b785f9-5f23-46e5-9090-f806826b1cdc · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.307861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e708af6e-a4f3-49f4-9d37-5f76168d638a · outbound

This paper cites I., Manin, Y.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds I., Manin, Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:56:46.294569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4e256fdc-84d0-41a3-9d5e-277889db0f2b · outbound

This paper cites E., Complete metrics of bounded curvature on noncompact manifol ds, Arch.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds E., Complete metrics of bounded curvature on noncompact manifol ds, Arch

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:56:46.281073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 790f70fa-82ec-4d4c-af49-4e4badc18f45 · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.266477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c4579e86-e9f6-4867-a95a-c7eb58ca8aa3 · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.253381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5186e60b-8f2f-4200-bc00-9dce29633c41 · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.239207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3a247fb2-dd45-4777-bc20-fc80ec6ea378 · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.220559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6ac901fc-9e0f-4091-a030-b1ab00375cca · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.200433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4c7b13e1-2bd4-4583-8cb6-149c7248cc6a · outbound

This paper cites E., Models for Smooth Inﬁnitesimal Analysis , Springer, 1991.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds E., Models for Smooth Inﬁnitesimal Analysis , Springer, 1991

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:56:46.183403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d3accc57-1ed7-456d-8b07-ff49dd6a0d26 · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.166922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7efd2e19-0f2f-48c0-8b57-39f2f1a3402f · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.153077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b857943c-7076-412f-b30e-ddab387ee67c · outbound

This paper cites an unresolved cited work.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:56:46.135079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 05d928ee-ee02-4a56-828d-12839014619a · outbound

This paper cites K., Connections with Lp bounds on curvature , Comm.

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds K., Connections with Lp bounds on curvature , Comm

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:56:46.115400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.