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Paper Citation Record · LEDGER

On the spectral flow theorem of Robbin-Salamon for finite intervals

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2412.16332.

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

pith.paper-citation-record.v1
2412.16332 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:51:16.217872Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

17 of 17 outbound references displayed

  • verified exact2
  • verified fuzzy9
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b7735682-92b9-4404-995e-be99a814beda · outbound

This paper cites Transversal mappings and flows.

On the spectral flow theorem of Robbin-Salamon for finite intervals Transversal mappings and flows

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:51:16.427738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.169290Z digest=sha256:e1e3206db17181c5c727d4052e62266466f71b74786637867776ea38b16555fd

Observation 062ea996-340c-4f37-bce5-1e1d5fd6070b · outbound

This paper cites o ran Bergh and J\.

On the spectral flow theorem of Robbin-Salamon for finite intervals o ran Bergh and J\

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T10:51:16.172727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:51:16.172727Z digest=sha256:1044bbf16374e7cfb145f241b6e34f65e950ef0a68445c04ee9128427c6331c8

Observation 60da7358-1179-4e35-a12a-af561101e5a7 · outbound

This paper cites Functional analysis, S obolev spaces and partial differential equations.

On the spectral flow theorem of Robbin-Salamon for finite intervals Functional analysis, S obolev spaces and partial differential equations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:51:16.416563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 37ed34da-4d28-4d09-801c-7175603f8878 · outbound

This paper cites First steps in the geography of scale Hilbert structures.

On the spectral flow theorem of Robbin-Salamon for finite intervals First steps in the geography of scale Hilbert structures

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-11T10:51:16.336064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.180380Z digest=sha256:b6fb5ceda0d773d1a239f6688b8956b8144502e5134580cba6eefcca8a7cf423

Observation 17c68dc0-94a0-4314-9897-c7b05801b3bd · outbound

This paper cites The shift map on Floer trajectory spaces.

On the spectral flow theorem of Robbin-Salamon for finite intervals The shift map on Floer trajectory spaces

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T10:51:16.183718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:51:16.183718Z digest=sha256:98b0d58957760fcd13a3649a1d4b5ede26b6826bfdfd066bf7fcffa88a58f032

Observation c6f0ec0e-4b4c-4dbd-9862-49ee1c7078f6 · outbound

This paper cites Growth of eigenvalues of Floer Hessians.

On the spectral flow theorem of Robbin-Salamon for finite intervals Growth of eigenvalues of Floer Hessians

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T10:51:16.186964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:51:16.186964Z digest=sha256:676ba03ea9a288ee6b769d93ed777d0808947e50d67bbf5e26155cea54e0e335

Observation df655d77-651d-4ec7-bac4-9c152d21c79f · outbound

This paper cites Hofer, K.

On the spectral flow theorem of Robbin-Salamon for finite intervals Hofer, K

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:51:16.408985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.189954Z digest=sha256:b203e67ba88a82998efe88011ace4513b5b8175d39a087695516c00379b3655f

Observation 2226d3d7-7a13-4c04-bcc9-81c53571fdde · outbound

This paper cites Sobolev Spaces of Vector-Valued Functions.

On the spectral flow theorem of Robbin-Salamon for finite intervals Sobolev Spaces of Vector-Valued Functions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:51:16.401148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.192949Z digest=sha256:56313951d5bcdc9b35ccc24f98e427102f3129e7e74885add31ee691d0eb0d3e

Observation 383bec0d-406e-47f5-a8da-8ed221a9949d · outbound

This paper cites J -holomorphic curves and symplectic topology , volume 52 of American Mathematical Society Colloquium Publications.

On the spectral flow theorem of Robbin-Salamon for finite intervals J -holomorphic curves and symplectic topology , volume 52 of American Mathematical Society Colloquium Publications

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T10:51:16.195429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:51:16.195429Z digest=sha256:49fdb8542b92ddd0167201ac39560e6276504e5ddd17b67f0556806034d314b2

Observation ef12d33d-e32e-4900-acf0-7b58b3186e92 · outbound

This paper cites u ller. Spectral Theory of Linear Operators -- and Spectral Systems in Banach Algebras , volume 139 of Operator Theory: Advances and Applications . Birkh\.

On the spectral flow theorem of Robbin-Salamon for finite intervals u ller. Spectral Theory of Linear Operators -- and Spectral Systems in Banach Algebras , volume 139 of Operator Theory: Advances and Applications . Birkh\

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T10:51:16.198187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:51:16.198187Z digest=sha256:e118484f4b247e36083609bb4525d2c17f1adf02e9c220f77f095b2644b51eb3

Observation f1add37f-b66e-4319-ae71-a970b1a9a523 · outbound

This paper cites The curve shrinking flow, compactness and its relation to scale manifolds (access pdf http://www.ime.unicamp.br/ joa/P/Neumeister-(2020)-master-thesis.pdf).

On the spectral flow theorem of Robbin-Salamon for finite intervals The curve shrinking flow, compactness and its relation to scale manifolds (access pdf http://www.ime.unicamp.br/ joa/P/Neumeister-(2020)-master-thesis.pdf)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:51:16.385637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.201415Z digest=sha256:ccc07df3973726e9234da4a3cbb6547135ead2e83b5b026d549795aaf024a2ee

Observation fb171731-5eff-401a-9cad-ce0c6aed2667 · outbound

This paper cites an unresolved cited work.

On the spectral flow theorem of Robbin-Salamon for finite intervals Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:51:16.378070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.204018Z digest=sha256:573be54682d47911951e3d07a567881518fdf3c4daf892d383480c79cb084dcd

Observation 7457497b-1c5c-4284-9a4c-f21b8b6de9f4 · outbound

This paper cites Roubi c ek.

On the spectral flow theorem of Robbin-Salamon for finite intervals Roubi c ek

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:51:16.369668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.207172Z digest=sha256:78bf00617fe75ea9c8ef3441a71324a3a5a37d012c94d1c0cfc0957714ce7559

Observation c4a2ac5e-6bdb-4782-a277-f8ed9afb7bac · outbound

This paper cites Methods of modern mathematical physics.

On the spectral flow theorem of Robbin-Salamon for finite intervals Methods of modern mathematical physics

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:51:16.361163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.209569Z digest=sha256:ad0f2c5d44b69c56d36eb4503779fe76354f0049c31662eab65fa68a8a01d8ca

Observation fc0007a9-7f35-4b25-9d37-b52751dabb6a · outbound

This paper cites The spectral flow and the Maslov index.

On the spectral flow theorem of Robbin-Salamon for finite intervals The spectral flow and the Maslov index

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:51:16.352872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.212276Z digest=sha256:de8f463715bfc53eb6835936bf497c8bb671eeaaf9631782b62010897c9cc06f

Observation 1679682e-5224-468f-b384-58f5ab135ad2 · outbound

This paper cites Functional analysis.

On the spectral flow theorem of Robbin-Salamon for finite intervals Functional analysis

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:51:16.344819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.214892Z digest=sha256:520b7f8ad9ef2b9bc33051b5bf94883a344562d8d48a05115257fb1aec080238

Observation 36708836-0c7a-469e-a451-43851ab8fd18 · outbound

This paper cites A Hardy Space Approach to Lagrangian Floer Gluing.

On the spectral flow theorem of Robbin-Salamon for finite intervals A Hardy Space Approach to Lagrangian Floer Gluing

Reference 17

Resolution
verified exact
doi, observed 2026-08-11T10:51:16.241007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:51:16.217872Z digest=sha256:b7cbf4c523ea21d929dcde8d9394e22cfb18d7c10d8033e39f94c640eef55a4b

Pith citing papers

No inbound Pith citation observations are available.