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Paper Citation Record · LEDGER

Scale Calculus and M-Polyfolds -- An Introduction

As of 15 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:1908.04398.

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

pith.paper-citation-record.v1
1908.04398 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:22:27.216607Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

51 of 51 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b5c3777a-9d09-446a-b58a-037dec510ea2 · outbound

This paper cites Floer homologies, with applications.

Scale Calculus and M-Polyfolds -- An Introduction Floer homologies, with applications

Reference 1

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 56ff79eb-69de-4aef-9a3f-59319a7b1adf · outbound

This paper cites Adams and John J.

Scale Calculus and M-Polyfolds -- An Introduction Adams and John J

Reference 2

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Observation a70243c6-284f-47f5-86f4-5d65fc2ad437 · outbound

This paper cites A primer of nonlinear analysis, volume 34 of Cambridge Studies in Advanced Mathematics.

Scale Calculus and M-Polyfolds -- An Introduction A primer of nonlinear analysis, volume 34 of Cambridge Studies in Advanced Mathematics

Reference 3

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Observation 73f6d7f3-0f3e-4820-b84c-e13af02f5354 · outbound

This paper cites Bourbaki.

Scale Calculus and M-Polyfolds -- An Introduction Bourbaki

Reference 4

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Observation 14456684-8541-4b0f-a63a-2a521968da26 · outbound

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

Scale Calculus and M-Polyfolds -- An Introduction Functional analysis, S obolev spaces and partial differential equations

Reference 5

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation be46f013-dfcb-4dc9-8933-1d0a77a9c528 · outbound

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Scale Calculus and M-Polyfolds -- An Introduction Unresolved cited work

Reference 6

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Observation ebeedbb1-86d7-4121-b011-5882c7829449 · outbound

This paper cites Sur les r\'etractions d'une vari\'et\'e.

Scale Calculus and M-Polyfolds -- An Introduction Sur les r\'etractions d'une vari\'et\'e

Reference 7

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Observation a024b0af-e56d-4a06-958e-70edd7537dda · outbound

This paper cites Nonlinear Functional Analysis.

Scale Calculus and M-Polyfolds -- An Introduction Nonlinear Functional Analysis

Reference 8

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1ae86269-d856-48f4-a46a-e80a63dd615e · outbound

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Scale Calculus and M-Polyfolds -- An Introduction Unresolved cited work

Reference 9

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Observation 5f85be9d-6d61-4714-9618-ba735f75e10d · outbound

This paper cites Topology.

Scale Calculus and M-Polyfolds -- An Introduction Topology

Reference 10

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Observation 1694aca0-b410-468c-a2b0-849497c01c32 · outbound

This paper cites Eliashberg, A.

Scale Calculus and M-Polyfolds -- An Introduction Eliashberg, A

Reference 11

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Observation 16cf49f0-682e-4b2c-8cf2-eeeac50658e0 · outbound

This paper cites Fish, Roman Golovko, and Katrin Wehrheim.

Scale Calculus and M-Polyfolds -- An Introduction Fish, Roman Golovko, and Katrin Wehrheim

Reference 12

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Observation e8f02d12-e290-4710-bbe7-948f0e39827b · outbound

This paper cites Counterexamples in Scale Calculus.

Scale Calculus and M-Polyfolds -- An Introduction Counterexamples in Scale Calculus

Reference 13

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Observation 42d764dd-2bd2-4fe0-af61-db9d79bd8abd · outbound

This paper cites Proof of the A rnol ' d conjecture for surfaces and generalizations to certain K \"ahler manifolds.

Scale Calculus and M-Polyfolds -- An Introduction Proof of the A rnol ' d conjecture for surfaces and generalizations to certain K \"ahler manifolds

Reference 14

Resolution
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Observation 1d920dad-92cf-4c89-84c8-61b12e4f8f6a · outbound

This paper cites Morse theory for L agrangian intersections.

Scale Calculus and M-Polyfolds -- An Introduction Morse theory for L agrangian intersections

Reference 15

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Observation 2e7c730c-1af5-40fe-abdb-be514278d41e · outbound

This paper cites The unregularized gradient flow of the symplectic action.

Scale Calculus and M-Polyfolds -- An Introduction The unregularized gradient flow of the symplectic action

Reference 16

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Observation 89d955ee-e0de-4fdc-aa89-92256f106e0f · outbound

This paper cites Symplectic fixed points and holomorphic spheres.

Scale Calculus and M-Polyfolds -- An Introduction Symplectic fixed points and holomorphic spheres

Reference 17

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5b601b5a-f182-442a-ad7d-2966a075297b · outbound

This paper cites The shift map on Floer trajectory spaces.

Scale Calculus and M-Polyfolds -- An Introduction The shift map on Floer trajectory spaces

Reference 18

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Observation 7914b940-e0aa-4fbe-ad0f-2555245c75bf · outbound

This paper cites Morse homotopy, A^ -category, and F loer homologies.

Scale Calculus and M-Polyfolds -- An Introduction Morse homotopy, A^ -category, and F loer homologies

Reference 19

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ea13eef8-09ed-44d2-acb1-fbe03072f9b7 · outbound

This paper cites Arnold conjecture and G romov-- W itten invariant.

Scale Calculus and M-Polyfolds -- An Introduction Arnold conjecture and G romov-- W itten invariant

Reference 20

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Observation b35aec38-04ef-43d4-ac2f-209696de4c73 · outbound

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Scale Calculus and M-Polyfolds -- An Introduction Lagrangian intersection F loer theory: anomaly and obstruction

Reference 21

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Scale Calculus and M-Polyfolds -- An Introduction Unresolved cited work

Reference 22

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Scale Calculus and M-Polyfolds -- An Introduction A General Fredholm Theory and Applications

Reference 23

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Observation 365a7240-b485-4309-8bd2-4f67269d8fe0 · outbound

This paper cites Polyfolds and Fredholm Theory Part 1.

Scale Calculus and M-Polyfolds -- An Introduction Polyfolds and Fredholm Theory Part 1

Reference 24

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Observation a24dd921-583a-4159-8a77-19196f02f148 · outbound

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Scale Calculus and M-Polyfolds -- An Introduction A general F redholm theory

Reference 25

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Scale Calculus and M-Polyfolds -- An Introduction A general F redholm theory

Reference 26

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Scale Calculus and M-Polyfolds -- An Introduction A general F redholm theory

Reference 27

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Observation 22c07e46-23e4-410d-a63f-dfd0e2471844 · outbound

This paper cites Sc-smoothness, Retractions and New Nodels for Smooth Spaces.

Scale Calculus and M-Polyfolds -- An Introduction Sc-smoothness, Retractions and New Nodels for Smooth Spaces

Reference 28

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Scale Calculus and M-Polyfolds -- An Introduction Polyfold and Fredholm Theory

Reference 29

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Scale Calculus and M-Polyfolds -- An Introduction Unresolved cited work

Reference 30

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Scale Calculus and M-Polyfolds -- An Introduction Unresolved cited work

Reference 31

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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This paper cites Real and functional analysis, volume 142 of Graduate Texts in Mathematics.

Scale Calculus and M-Polyfolds -- An Introduction Real and functional analysis, volume 142 of Graduate Texts in Mathematics

Reference 32

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Observation c1dd96c0-f447-486b-9fc3-4c38f2d320e5 · outbound

This paper cites Fundamentals of differential geometry.

Scale Calculus and M-Polyfolds -- An Introduction Fundamentals of differential geometry

Reference 33

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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This paper cites Topology for the working mathematician (Working title), last accessed 13/10/2017 on Webpage http://www.math.ru.nl/ mueger/topology.pdf, Manuscript v19/10/2016 , 2016.

Scale Calculus and M-Polyfolds -- An Introduction Topology for the working mathematician (Working title), last accessed 13/10/2017 on Webpage http://www.math.ru.nl/ mueger/topology.pdf, Manuscript v19/10/2016 , 2016

Reference 34

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Observation e757870f-7072-42eb-b65a-c2af5ab4eed7 · outbound

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Scale Calculus and M-Polyfolds -- An Introduction Unresolved cited work

Reference 35

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 621e3d24-31ea-4061-a78b-47c892533471 · outbound

This paper cites Topological vector spaces, volume 296 of Pure and Applied Mathematics (Boca Raton).

Scale Calculus and M-Polyfolds -- An Introduction Topological vector spaces, volume 296 of Pure and Applied Mathematics (Boca Raton)

Reference 36

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Observation 419f2814-0bcd-48d0-bfd0-342ed8668c1d · outbound

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Scale Calculus and M-Polyfolds -- An Introduction Methods of modern mathematical physics

Reference 37

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Observation bcd3a047-b354-4334-a2e6-6cf1ddf68948 · outbound

This paper cites Real and complex analysis.

Scale Calculus and M-Polyfolds -- An Introduction Real and complex analysis

Reference 38

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6da02463-2dbe-4a81-a2ce-85d12c6ce0e2 · outbound

This paper cites Functional analysis.

Scale Calculus and M-Polyfolds -- An Introduction Functional analysis

Reference 39

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ab63fafb-15ab-423a-aee2-86b211e82d21 · outbound

This paper cites Analysis II.

Scale Calculus and M-Polyfolds -- An Introduction Analysis II

Reference 40

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation dc0247e2-8806-4027-87e6-99b6acaf0bfc · outbound

This paper cites Floer homology and the heat flow.

Scale Calculus and M-Polyfolds -- An Introduction Floer homology and the heat flow

Reference 41

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 47ca91a1-043a-41b4-b66a-8448b14cd210 · outbound

This paper cites an unresolved cited work.

Scale Calculus and M-Polyfolds -- An Introduction Unresolved cited work

Reference 42

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6b2f26f6-e724-4b3f-8bd4-8cbf7e0dad5a · outbound

This paper cites an unresolved cited work.

Scale Calculus and M-Polyfolds -- An Introduction Unresolved cited work

Reference 43

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:22:27.176141Z digest=sha256:540c34cfe6405784860b4b2fc56b008d559be519d220ff129c34fc165b4ad4cc

Observation ec3a4629-66a5-4267-96d3-123e8ddee5f1 · outbound

This paper cites Schochetman, Robert L.

Scale Calculus and M-Polyfolds -- An Introduction Schochetman, Robert L

Reference 44

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 15183dd7-159d-48b0-825f-463d4b2bcc0f · outbound

This paper cites Topological vector spaces, distributions and kernels.

Scale Calculus and M-Polyfolds -- An Introduction Topological vector spaces, distributions and kernels

Reference 45

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T15:22:27.185694Z digest=sha256:aa114a38d1ea72b9d1c7db7f4d41dba34a8e1d20340f67024f7ecfdaa0ccf7ff

Observation e536e4ea-d0df-4941-8355-a75a6a9817b7 · outbound

This paper cites an unresolved cited work.

Scale Calculus and M-Polyfolds -- An Introduction Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:27.813956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T15:22:27.191088Z digest=sha256:37da47759af4bffe46d13dfc005afbc9b6cb22dd56d8dc0e5599079066e9eaf1

Observation 064c0621-caff-4c65-879f-46e00724de98 · outbound

This paper cites M orse homology for the heat flow -- L inear theory.

Scale Calculus and M-Polyfolds -- An Introduction M orse homology for the heat flow -- L inear theory

Reference 47

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T15:22:27.195844Z digest=sha256:875a1df57f22489add471bc74a413b08d9b7369c654ee83e091eba63554d5077

Observation 0eea35e3-f7d6-4015-a66e-e9f0cbe62879 · outbound

This paper cites M orse homology for the heat flow.

Scale Calculus and M-Polyfolds -- An Introduction M orse homology for the heat flow

Reference 48

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T15:22:27.200577Z digest=sha256:63cf192fc625f8b9409feb0debcf4e236d376ec0a298d1f5f86feec38b22b5ae

Observation c0713284-f90b-4c91-91f0-2950701fcc2a · outbound

This paper cites Topological Methods in the Quest for Periodic Orbits.

Scale Calculus and M-Polyfolds -- An Introduction Topological Methods in the Quest for Periodic Orbits

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-14T15:22:27.206054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:22:27.206054Z digest=sha256:425a72ee1845c9be4166a57c0c2d510d7efb2f92601a1a9cb4ea39c861d97264

Observation b9abaab4-e90d-437f-9822-886b144078a0 · outbound

This paper cites S table foliations and semi-flow M orse homology.

Scale Calculus and M-Polyfolds -- An Introduction S table foliations and semi-flow M orse homology

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-14T15:22:27.210857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:22:27.210857Z digest=sha256:c4a913d16468600448cf3ea9a42bd2f04fe522e147386d2af507d5a11da73e01

Observation fd4734f1-e429-4882-bbe0-8879dc124ea1 · outbound

This paper cites Mathematical N otes: P rojecting m onto c_0.

Scale Calculus and M-Polyfolds -- An Introduction Mathematical N otes: P rojecting m onto c_0

Reference 51

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T15:22:27.216607Z digest=sha256:8ed984231ebd66ffa45de916b87eaee216b84b0c527f0917ea6b3b8526020c98

Pith citing papers

No inbound Pith citation observations are available.