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Paper Citation Record · LEDGER

Balancing Fixed Number of Nodes Among Multiple Fixed Clusters

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:14.188811Z digest=sha256:12d9f929bd1188661c0e5aa5ed65ccf0d09c20bdcfcba2debe9b9e33b93d6bb3

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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:14.383554Z digest=sha256:f4da0aef6c2e244244d0232e822c2579d98550187cd1499581ef019e08fc5440

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:14.486459Z digest=sha256:1777d34c28fa33ed01502a63c3cd16879fa41fbbe246ff8f451001b264106288

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:14.596743Z digest=sha256:26251ed6bf3c6e805889a75a18dab1afb3c27ea0a710140cdd4418d992e3c82c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:14.737732Z digest=sha256:ae63e97cda8d5869431f2d957b2782d867b5f69c2a1689cf20592cefdb4dc231

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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:14.975126Z digest=sha256:b73550a91d10da0763269214a2261078c722f015b8c8c44fa3362bf4162c4d23

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:15.165462Z digest=sha256:dffcbf469e6f6e8d1ef355e0d5fa79a03e9b4758ba59fcfc4f556535327629cf

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:15.272638Z digest=sha256:522207d4117920c03147e057b2ab73cac33c371c3c2cee31a9fdc73e4d9d244e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:15.379731Z digest=sha256:928681e601ba336d77d5e0092caed48cc8532ec71b6d71f0489ead2507ad4e32

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:15.496343Z digest=sha256:4200a26497d2ae5efe3a455bda32e20d5e4e29e2b39b021aa92b1d896e6da10f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:15.625738Z digest=sha256:184602411c8c22a93288eca045ff0fdb6b4bfb5d4594d6d9428055f05a1339f5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:15.740295Z digest=sha256:def745b70a07e6695965721b2fefd565a2c139f9cc2bc51be6d8196055865574

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:15.847474Z digest=sha256:7e3c14f3dda2f183224a2dcf1672b9116f70e2a424203c538a8884a3a86afb27

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:15.975055Z digest=sha256:9c2dc92a27df0edd36e01f093c7a50757dccc35613876e4fb97c4c6cc28b7bf3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:16.082529Z digest=sha256:afac52808420ad86f933f917ff310242852160260f31785d7babca67a00631b5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:16.189959Z digest=sha256:95c792d372b4062aaf588230f90718db7e01d61185fbead5686f5c90656c478d

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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:16.527061Z digest=sha256:e2d4a3a3c7bf4f805b3a92d24b231f12346f64a00b845587831fd158aa31c64f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:16.637440Z digest=sha256:994d17ae4692fb255648a44037334fa7cc2b6e7bde155f315e6a40e7de4f0d5c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:16.729882Z digest=sha256:92b3187cb061268257281b9162c4a213806aec2dafc0408870b6c6ebd06ca867

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:16.841835Z digest=sha256:75e63340f81063c7c726daa24695659ad190412dd89483170cb2df3d8ec3fc9f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:17.076838Z digest=sha256:a96323f6710875e689a8c2f560a167237ad09d69717e3ac2f3adf0b7d274d1b8

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:a51da2e46f9025249b0daa8aa994ba0adbe2c253b667c8a6dd41600799d484db

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:17.325731Z digest=sha256:eea09a7801d957f9b791a6106e11314296a89579ed27b7143087b57e6ef17214

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:17.533035Z digest=sha256:d1f21c629496edbca70435a602c607c510c9e07598b3fe10f6224af58bb073ec

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:08:17.637880Z digest=sha256:f883505566177386fd991538e0575d029c8f78aa27bd0bcb31989497452a7c57

Pith citing papers

No inbound Pith citation observations are available.