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Paper Citation Record · LEDGER

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:14.188811Z digest=sha256:74e23c641b193cc1bee4bfeee5ba4ac2eb7bf0012c480e9dc5cca7b2009768ca

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:14.383554Z digest=sha256:371ef0b8743fff3391b682b831b6c5bd1cf3116d3db43309c68e397888bd788e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:14.486459Z digest=sha256:f62cca602660fc6363a10edf5f83f2f6369bdd8147aaac1214b5406647d8e051

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:14.737732Z digest=sha256:828053c893f9cf7207ac11c01e222ff4b1ebc1d4577ac7927b0c44813832ad8e

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:14.975126Z digest=sha256:984f058927527ab061baec1b2f7c309e86f329529f8f3cb643277e0a792fbfa5

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:15.379731Z digest=sha256:782710d3d640a9147c420a012101b9b2f1232f361b160445e23667a6d520fe6d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:15.496343Z digest=sha256:cd5eeb6386acc1e8e184e52baa35daf1c6ee987058b4438c7c9f22fdc261392e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:15.625738Z digest=sha256:8b03595a03575928fbaee1dc547d4c981c110292287d55db5f5529925c9b4228

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:15.740295Z digest=sha256:04ef02f3b40bdf38a0d8bac39f2f84c1cde5f4ef281a02b45c9221952e91101c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:15.847474Z digest=sha256:561067e0a55dfc5a56c08678342c6c765117c18c80dd2c8b94a06735b2bcdf10

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:15.975055Z digest=sha256:d75ce08a3d338063ab1a58fdd516c787edbf6f3b1a48bb1fc141b5b2615069f0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:16.082529Z digest=sha256:936ff7a1825b26ccfae2a0270c6b3c8b19930f2bd62936bde70d091276109e6e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:16.189959Z digest=sha256:f03a0cd1cfe4b33445f96b70182809d614d368302d3033e941f455465ac25e1b

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:16.527061Z digest=sha256:73ffc57771ae3063b2e47ec412e970235c54f18c49e76449cc517e47e4ba6a88

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:16.637440Z digest=sha256:6d4793e26b047cd4f47d3fe9069775fa99c3dcc423ace3498e8551c6435e7574

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:16.729882Z digest=sha256:b19e4d0bd088bd40b29d97f443d09529ff2fe55cd9731e917847f93db0eeea24

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:16.841835Z digest=sha256:55f1d6c16ac9792870e6511d9b10c84894674ed1c0fd8e66fb2ba99ede7988e4

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:bb00d13eb2e28d27f17fda2381171ec0239bf1d847295dc9c7d71cad45357f84

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:17.076838Z digest=sha256:5edcf622c3bcd4fbf2cd4d31a60201da887baa51f99cdbb20373ccf74fcb494f

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:d2b91fef31140b59264e5ec10fd954a5e2a4bd2ad7bcee023717ba8d1922228f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:17.325731Z digest=sha256:7aaf09782e6f81ad44b9e9db46287b8c2103cef77dd91b61100d233c4746385a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:17.533035Z digest=sha256:9094c9db98b5593bc1a5971c2864bd4a2ebf5bf5b81740b7b0c541e428c9f68e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:08:17.637880Z digest=sha256:604a4583c2d5b1af5538a9ffe89965e896db4ed3c21f7efd12bf419beefa2c2b

Pith citing papers

No inbound Pith citation observations are available.