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Paper Citation Record · LEDGER

Algebraic conditions for the positivity of sectional curvature

As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:1908.06476.

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

pith.paper-citation-record.v1
1908.06476 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:54:24.116089Z

measured 10 of 10 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

10 of 10 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf9dbcbc-16ee-48ed-ae88-4003cf530533 · outbound

This paper cites Bettiol, M.

Algebraic conditions for the positivity of sectional curvature Bettiol, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:54:24.313451Z

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.

source=pdf_text observed=2026-08-14T12:54:24.069034Z digest=sha256:5888ce5e2c80d016cdb6231a4bd6394ec57c313b4208363a03b1b684cd49bad4

Observation 3e5a4718-c0cf-417d-bb8f-3a99b2352e8c · outbound

This paper cites an unresolved cited work.

Algebraic conditions for the positivity of sectional curvature Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:54:24.297635Z

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.

source=pdf_text observed=2026-08-14T12:54:24.075070Z digest=sha256:50b357497dbc568d75d31950c3441d99560b68d4a606d68ea876c502df16f3f6

Observation 5f747eab-c5d2-480f-a6f7-aa7a9908779c · outbound

This paper cites an unresolved cited work.

Algebraic conditions for the positivity of sectional curvature Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:54:24.281846Z

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.

source=pdf_text observed=2026-08-14T12:54:24.080349Z digest=sha256:6f5dc11b97a20860d0f4c43ccc5d40a3959bf46a013bfbe1c9be248b6db4623f

Observation 0454015c-5db1-493f-8004-383567e8abb7 · outbound

This paper cites Multiple discriminants and critical values of a multivariate polynomial.

Algebraic conditions for the positivity of sectional curvature Multiple discriminants and critical values of a multivariate polynomial

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:54:24.162236Z

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.

source=pdf_text observed=2026-08-14T12:54:24.085364Z digest=sha256:c0f321879fb866acbc98779efedbd6b1d1b59351eeb1e3d28ee0b621124de7eb

Observation 76c324cf-71a8-4a4b-a3c3-d38bb6d9b875 · outbound

This paper cites Bettiol, Ricardo A.

Algebraic conditions for the positivity of sectional curvature Bettiol, Ricardo A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:54:24.266455Z

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.

source=pdf_text observed=2026-08-14T12:54:24.090586Z digest=sha256:d9aefebf2cd03cc4e7fe29d37a662121f264191518c0fe5fa5b604426f5a8981

Observation 692a77b4-4e5a-448b-aae8-aa44dbfbb99c · outbound

This paper cites Thorpe The zeroes of non-negative curvature operators, J.

Algebraic conditions for the positivity of sectional curvature Thorpe The zeroes of non-negative curvature operators, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:54:24.247100Z

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.

source=pdf_text observed=2026-08-14T12:54:24.095928Z digest=sha256:440735d7d1adda652eb83812fe817b7e5154cef7545ada092d06cc9716e48642

Observation be5bf5a0-f08e-43bb-9f3f-a2d42f241c93 · outbound

This paper cites Thorpe Erratum:”The zeroes of non-negative curvature operators” , J.

Algebraic conditions for the positivity of sectional curvature Thorpe Erratum:”The zeroes of non-negative curvature operators” , J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:54:24.231222Z

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.

source=pdf_text observed=2026-08-14T12:54:24.101320Z digest=sha256:7d11c5d22252fda58bcfe36a76120f2b6343c7dc01196c149a514fd927588fc5

Observation 889911dc-6d67-4fd7-9372-ba2182049a82 · outbound

This paper cites an unresolved cited work.

Algebraic conditions for the positivity of sectional curvature Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:54:24.215561Z

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.

source=pdf_text observed=2026-08-14T12:54:24.105862Z digest=sha256:29aa6569eb8c30e1c8da5fc7c41863b832018815309472b1ac8a6f7fd0f59355

Observation e18bbee0-ae58-42a3-8249-fb3bec377673 · outbound

This paper cites Invent Math., 138 (1999) 631-684.

Algebraic conditions for the positivity of sectional curvature Invent Math., 138 (1999) 631-684

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:54:24.198002Z

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.

source=pdf_text observed=2026-08-14T12:54:24.111392Z digest=sha256:e7a3a27d1ac73ba4c0b8e432f2ab00ea4000a8192aef4329ff6dcab4bcddde3b

Observation d4e0140c-0218-421f-b194-46e9c5dcb236 · outbound

This paper cites 1882 E-mail address : dan.fodor52@yahoo.com F aculty of Mathematics, Alexandru Ioan Cuza University, Ia s ¸i, Romania.

Algebraic conditions for the positivity of sectional curvature 1882 E-mail address : dan.fodor52@yahoo.com F aculty of Mathematics, Alexandru Ioan Cuza University, Ia s ¸i, Romania

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:54:24.180178Z

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.

source=pdf_text observed=2026-08-14T12:54:24.116089Z digest=sha256:c856d27d9afafafef3cd97958e3c7bc9a43cb127cd137baf22498858e01d13df

Pith citing papers

No inbound Pith citation observations are available.