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Paper Citation Record · LEDGER

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.08715.

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

pith.paper-citation-record.v1
2506.08715 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:08:17.637880Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

30 of 30 outbound references displayed

  • verified exact3
  • verified fuzzy8
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5b1a36d-90d9-4e27-b4ca-0f5501f19dce · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:22.756401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e4114e42-f1a1-45e4-9f82-4b1dcc06fe7d · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:22.591955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:14.188811Z digest=sha256:6e7de0f19ab16b5a48537189e74c968576107cc2e968b3899642be66b123e60b

Observation 59d26859-7f06-4eb4-83c7-c89b7fe32a67 · outbound

This paper cites 3 Reduction to Practice This invention describes a method to balance a fixed number of clusters (hosting containers) with a fixed number of nodes balanced between the clusters.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters 3 Reduction to Practice This invention describes a method to balance a fixed number of clusters (hosting containers) with a fixed number of nodes balanced between the clusters

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:08:22.429673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 59adb0d1-bfeb-4c16-a9f1-e6111be830a0 · outbound

This paper cites The clusters which would be part of the node balancing cluster group would be able to balance nodes among themselves as needed.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters The clusters which would be part of the node balancing cluster group would be able to balance nodes among themselves as needed

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:08:22.198446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:14.383554Z digest=sha256:8011553dedaae6fbaf4ada5686531639aa8f980a42382d1729c3c6dacb6c77d1

Observation 898e9f5f-0051-410c-ac56-8625f5f4638a · outbound

This paper cites One cluster could be assigned to only one node balancing cluster group.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters One cluster could be assigned to only one node balancing cluster group

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:08:22.093189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:14.486459Z digest=sha256:2bc99a94aaa04290d3e2337d2fb77cecb99bd4f646fdbdf7eaf57b3525b9629b

Observation e406cdb4-7830-4638-ae30-faf48120ce9f · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:21.901353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d9e533ee-995e-487b-bf61-8721984bd8f3 · outbound

This paper cites The cluster can be added again to the node balancing cluster group if needed.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters The cluster can be added again to the node balancing cluster group if needed

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:08:21.698256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:14.737732Z digest=sha256:249a065fe49f85df38b2cd1c770dd5e0e1028f0c938049c76dfe37a0c4cc8f2c

Observation c627eebe-b0c3-4ed4-8633-750cfc1af1cf · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:21.476440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6c7b7ee4-334c-4eec-8cb8-7c3f38c549ee · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:21.237178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:14.975126Z digest=sha256:bdad8e561b1dae801f1a4357d94a20f9275e868fb0262223e8969dce6ab75d2c

Observation 40429e69-0554-47a6-a515-2da87afa493e · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:21.059320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:15.165462Z digest=sha256:e4b21f2afa9130e0543a9164922297f778cf6f43a95c27a2a19a6557dd717961

Observation 43395654-be78-42b3-bdbc-2a5a0bed008c · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:20.820868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:15.272638Z digest=sha256:47124a4249d2cc3cf1c7fa717bb33504626eb7e0bf091513d18070fa2fa97d6b

Observation ac7f3694-20d5-44e4-8703-f3706debc351 · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:20.619666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:15.379731Z digest=sha256:435b33d9354360b63b682066e694def2ccefcff73dae5b2f6dd6ea890aed3798

Observation c19b0be7-4f28-462c-8fec-bb1b5a62b902 · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:20.461132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:15.496343Z digest=sha256:3e4548f7ce16311e4a6a4cf4620f917c59eea5471663a45b752a5daa1d4b076f

Observation 335969ba-ae06-4b1c-8332-6d9740d09f74 · outbound

This paper cites It evaluated conditions to determine whether node reallocation could proceed without destabilizing the source cluster.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters It evaluated conditions to determine whether node reallocation could proceed without destabilizing the source cluster

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:08:20.294140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:15.625738Z digest=sha256:852c86878e15c08c8e37e28e63bec1a4516eb923dc19cf035d6645fd00a61fbd

Observation bf5f0ec5-4d7d-45b8-97eb-62b6dd11ff8e · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:20.070347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:15.740295Z digest=sha256:db6f898af178d5df07d79fc8663ec58364f218e1f46b4143e8c6b23d0319c011

Observation 9f76ab43-9cb6-444d-b048-458d34e5214e · outbound

This paper cites 4 Advantages of the Invention.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters 4 Advantages of the Invention

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:08:19.878082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:15.847474Z digest=sha256:c821a9fc40d2b90bd4eb8a75a44c5248fdb32ede13ed1c148bc75caf32859f27

Observation 71bbb0ed-b8b0-4a14-a26d-4c6ad8f0197a · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:19.681066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:15.975055Z digest=sha256:1d7da452c7fc28c75e13c14a9041d2b31c867673f7f3c4309273338a5710ffdc

Observation f45d682f-6895-4d4b-a6fa-cc1454fb4d61 · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:19.520476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:16.082529Z digest=sha256:b6b36636355738d39cc1c16d1b5d5b45864e2e5a3fd79f7cbaaab29673e1d423

Observation 397c1f17-2d8c-48e4-bf5b-3a49f6d130e4 · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:19.362238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:16.189959Z digest=sha256:475233c4e39f520bf5fe0b3d644f9acae86659d11056980ba304afaf890cfa9c

Observation 73aaa2fc-07fd-4aa0-80af-682782a62be8 · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:19.230282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:16.352948Z digest=sha256:5309bd6df37999f527d25759826a59727578a085c00ce28f1e8885ec8125be1a

Observation abcd9419-48c6-464e-9fd6-9fce533f4857 · outbound

This paper cites an unresolved cited work.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:08:19.072416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:16.527061Z digest=sha256:5728c38ed11de457e4f9bf28bad7bb4274a5b3c2801fbb967b6901883975a780

Observation 3fc72f47-b670-4226-819e-7483cc41c8e1 · outbound

This paper cites Upon removal, the system restores the original node configuration, ensuring flexibility and independence.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Upon removal, the system restores the original node configuration, ensuring flexibility and independence

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:08:18.893102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:16.637440Z digest=sha256:656016cf6b3ec56032645a50b06be06f9f7434101b6b18bb6c9b8b2a7c65ddd4

Observation 5650bc05-494e-492b-b299-335da1170f94 · outbound

This paper cites 5 Conclusion This invention presents a novel and practical approach to balancing a fixed number of nodes among a fixed number of container clusters within a cloud environment.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters 5 Conclusion This invention presents a novel and practical approach to balancing a fixed number of nodes among a fixed number of container clusters within a cloud environment

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:08:18.732841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:16.729882Z digest=sha256:cffe8b29b41babc6a587ff106bbd69f02c6dc551040f11a85834779e3523dbdc

Observation 1cbf20af-8985-4643-bcbc-604712b50bc5 · outbound

This paper cites Cloud Computing -- Everything As A Service.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Cloud Computing -- Everything As A Service

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:08:18.560594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:16.841835Z digest=sha256:4ea22c9edb8017915d0bd635af8c7313dbbcd6ca3433e3591d08e90e2c2d7427

Observation 87bac6bb-50ed-4dc7-bc3c-f328e8a8a7ab · outbound

This paper cites Quantum Cloud Computing: A Review, Open Problems, and Future Directions.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Quantum Cloud Computing: A Review, Open Problems, and Future Directions

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T05:08:16.909867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:08:16.909867Z digest=sha256:5d8bdfd284209ed1c8cdc96ac2a562df84c5d0e3388945f09d2a4a3c546c26e4

Observation 31575d5f-1b60-4618-986b-c490a2db4264 · outbound

This paper cites Cloud Computing: Applications, Challenges and Open Issues.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Cloud Computing: Applications, Challenges and Open Issues

Reference 26

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T05:08:18.344010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:17.076838Z digest=sha256:f7df597a258fc00207dbca6753ae532e439150a2d60e8298ddcf78fcf5682fa7

Observation 34d226f0-e641-4d8e-83b0-9b3f6cb2a290 · outbound

This paper cites A Comprehensive Vision on Cloud Computing Environment: Emerging Challenges and Future Research Directions.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters A Comprehensive Vision on Cloud Computing Environment: Emerging Challenges and Future Research Directions

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T05:08:17.180623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:08:17.180623Z digest=sha256:1086166651023f2f1fa5fffa81cb4b11ab2d79d27d447a232498d9c2c04a0582

Observation 5319260a-e959-4468-9bb8-01c401394dc7 · outbound

This paper cites Distributed Computing With the Cloud.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Distributed Computing With the Cloud

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:08:18.150404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:17.325731Z digest=sha256:e7ea85dd6ba8b3f42034dd33e00bd6f5a531f803a1bb2ac865d90faeec50ca0a

Observation a3591725-237a-437e-922c-57ef27cd3ac1 · outbound

This paper cites Management of Data Replication for PC Cluster-based Cloud Storage System.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Management of Data Replication for PC Cluster-based Cloud Storage System

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:08:17.996175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:17.533035Z digest=sha256:87fbf129bdb859ebb9b86e8abacaf3dabdf4df1cae478d8bab31c62725aa64f9

Observation e41dca00-8515-4916-a820-600a2f658d02 · outbound

This paper cites Co-Tuning of Cloud Infrastructure and Distributed Data Processing Platforms.

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters Co-Tuning of Cloud Infrastructure and Distributed Data Processing Platforms

Reference 2023

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T05:08:17.816815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:08:17.637880Z digest=sha256:9c32bc023c3f7e45e3715de088597d13d10476d62a64d3239ad39e2f410940b8

Pith citing papers

No inbound Pith citation observations are available.