Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:30:44.858455Z
Paper Citation Record · LEDGER
Relative Spectral Invariants of Elliptic Operators on Manifolds
As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.01265.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
22 of 22 outbound references displayed
- verified exact1
- verified fuzzy7
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c13c2aca-3d18-49ef-a2a6-e76228c2ca20 · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:45.187203Z
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 2c900f65-133d-4e0b-a440-05f78febb5bb · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T15:30:44.777283Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b840afc4-88d5-46ed-b0e2-4348ead514ed · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T15:30:44.782219Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation adb86396-23aa-431a-bef1-3403f0097cea · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:45.140436Z
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 43b70417-dfb6-458a-b05a-c15946654e0c · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:45.126742Z
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 a5176b9d-d3fe-4b1e-ae6c-9cf83eea0cca · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:45.114309Z
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 47ce27a6-6cfb-4ef0-bf49-796c0547ea0d · outbound
This paper cites Bogolyubov invariant via relative spectral invariants on manifolds.
Relative Spectral Invariants of Elliptic Operators on Manifolds Bogolyubov invariant via relative spectral invariants on manifolds
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T15:30:44.899960Z
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 6ba1543f-dae8-4ce7-a5d1-f24d9aea279b · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:45.101999Z
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 4151fe65-ba21-413d-a81d-649c9100e282 · outbound
This paper cites Berger, A Panoramic View of Riemannian Geometry , Berlin: Springer, 1992.
Relative Spectral Invariants of Elliptic Operators on Manifolds Berger, A Panoramic View of Riemannian Geometry , Berlin: Springer, 1992
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:30:45.089684Z
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 4425615a-d007-4bc5-9d75-208662f96b66 · outbound
This paper cites Berline, E.
Relative Spectral Invariants of Elliptic Operators on Manifolds Berline, E
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:30:45.071571Z
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 98461e11-4b61-4069-9cfb-1918b9ec53a2 · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:45.055921Z
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 cd81d311-18fc-4989-857e-3dcf352be87c · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:45.037187Z
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 333117f6-d8c0-47de-a6b6-7958b9815296 · outbound
This paper cites Erd´ elyi, W.
Relative Spectral Invariants of Elliptic Operators on Manifolds Erd´ elyi, W
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:30:45.020977Z
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 667dc5db-fa24-4543-932e-0617a4ba4f21 · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:45.008178Z
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 f5ba22a2-b920-4af7-a6c3-c34945f68318 · outbound
This paper cites Grigor’yan, Heat Kernel and Analysis on Manifolds, AMS, International Press, 2009.
Relative Spectral Invariants of Elliptic Operators on Manifolds Grigor’yan, Heat Kernel and Analysis on Manifolds, AMS, International Press, 2009
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:30:44.994741Z
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 1845ba65-e25c-4d71-acc9-b2c679d08842 · outbound
This paper cites Minakshisundaram and A.
Relative Spectral Invariants of Elliptic Operators on Manifolds Minakshisundaram and A
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:30:44.982474Z
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 612af477-f6df-4c47-a425-f91a507f2346 · outbound
This paper cites Novoseltsev, Spectral geometry of Riemannian submanifolds , PhD The- sis (New Mexico Tech, Socorro, 2005); arXiv:math /0507453 [math.SP].
Relative Spectral Invariants of Elliptic Operators on Manifolds Novoseltsev, Spectral geometry of Riemannian submanifolds , PhD The- sis (New Mexico Tech, Socorro, 2005); arXiv:math /0507453 [math.SP]
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:30:44.968915Z
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 2dcc74bd-f806-42f5-ab24-403f16a95d75 · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:44.956084Z
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 b23cabbf-0433-4fd5-98c0-c8d55f550e26 · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:44.944224Z
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 dc1faab6-6218-439a-929a-a30315809ecb · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T15:30:44.849986Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14ab7ee7-e88a-4fb1-b829-e5ac5f3b0e03 · outbound
This paper cites Weyl, ¨Uber die asymptotische V erteilung der Eigenwerte , Nachrichten der K¨ oniglichen Gesellschaft der Wissenschaften zu G¨ ott ingen, (1911) 110117.
Relative Spectral Invariants of Elliptic Operators on Manifolds Weyl, ¨Uber die asymptotische V erteilung der Eigenwerte , Nachrichten der K¨ oniglichen Gesellschaft der Wissenschaften zu G¨ ott ingen, (1911) 110117
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:30:44.924534Z
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 f9eae48d-d47b-48ad-8d0c-6de72e1c6ec8 · outbound
This paper cites an unresolved cited work.
Relative Spectral Invariants of Elliptic Operators on Manifolds Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:30:44.913166Z
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.