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Paper Citation Record · LEDGER

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning

As of 21 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.08580.

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

pith.paper-citation-record.v1
2506.08580 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:14:57.508895Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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 exact1
  • verified fuzzy24
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 480af519-f07e-49ff-882f-71eb5c7d5b84 · outbound

This paper cites Event-based secure leader-following consensus control for multiagent systems with multiple cyber attacks,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Event-based secure leader-following consensus control for multiagent systems with multiple cyber attacks,

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e16ee10e-96a5-484d-b06b-04e683b3441c · outbound

This paper cites Multi-attribute game theoretic model for resource allocation in military attack-defense application,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Multi-attribute game theoretic model for resource allocation in military attack-defense application,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.896304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2e5bdf02-3666-48c4-bb21-bb2310706d87 · outbound

This paper cites A game theoretic model for resource allocation among countermeasures with multiple attributes,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning A game theoretic model for resource allocation among countermeasures with multiple attributes,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.883858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation fa0dadbf-9454-4b7e-8d96-5f15caec0977 · outbound

This paper cites N-dimensional blotto game with heterogeneous battlefield values,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning N-dimensional blotto game with heterogeneous battlefield values,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.871669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.395181Z digest=sha256:9e47d5d0db6176da13933dfe06d3f44e17271155613f490c609b920c238e2c39

Observation f88d5b2a-070c-4211-8528-bd9c5c8c9cdf · outbound

This paper cites Online learning in budget-constrained dynamic colonel blotto games,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Online learning in budget-constrained dynamic colonel blotto games,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.845734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.404366Z digest=sha256:57b1673fee20c754c534a45da84066b945576ea509e2270fc21905371a2edfe8

Observation 290ceaea-3e54-471d-a8ce-0ce2526a3a66 · outbound

This paper cites Finite-time dynamic alloca- tion and control in multiagent coordination for target tracking,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Finite-time dynamic alloca- tion and control in multiagent coordination for target tracking,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.833148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 277409a8-19b1-4b6e-b357-8c94d13b2d09 · outbound

This paper cites A three- stage colonel blotto game with applications to cyberphysical security,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning A three- stage colonel blotto game with applications to cyberphysical security,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.819671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.412736Z digest=sha256:3aecba8efe9663238855958c128e15407d42628a62f62343c3d5323a8c1e7257

Observation dc8cab7c-03a7-4640-a0d0-4d4d75ed675b · outbound

This paper cites Power allocation in multi- user cellular networks: Deep reinforcement learning approaches,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Power allocation in multi- user cellular networks: Deep reinforcement learning approaches,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.807249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.416988Z digest=sha256:56d6c7304cf6c18f698209a074d81341a16f697d754e30235f2c5435422715ff

Observation b9a3b04c-3fde-49ce-86b3-9235c2accd83 · outbound

This paper cites Graph reinforcement learning with relational priors for predictive power allocation,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Graph reinforcement learning with relational priors for predictive power allocation,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.795002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.420975Z digest=sha256:e83fe26d07a962b76f190adaf8231ded3b5dbe1ab304278be552d9f1b67010bc

Observation 1bfb80e7-a683-476f-960f-92a104c9542e · outbound

This paper cites Equilibrium ap- proximating and online learning for anti-jamming game of satellite communication power allocation,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Equilibrium ap- proximating and online learning for anti-jamming game of satellite communication power allocation,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.858347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.425316Z digest=sha256:ea60793f1361b81ce151440941ae4156aee5cebea295213977fabbf6f886661d

Observation 660bb094-3aaf-4e11-a908-f0f4fdea2449 · outbound

This paper cites Colonel blotto games in network systems: models, strategies, and applications,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Colonel blotto games in network systems: models, strategies, and applications,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.782103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation aa28e275-2501-40c8-862f-0721e1bec9fe · outbound

This paper cites Resource allocation problems,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Resource allocation problems,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.768676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 17c91344-3f89-45d3-ba79-2bd78edbba56 · outbound

This paper cites A dynamic resource allocation strategy for cloud-native applications leveraging markov properties,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning A dynamic resource allocation strategy for cloud-native applications leveraging markov properties,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.755778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.440931Z digest=sha256:da947938ecc71e718348b12f8bec4c2271f737adc8e7231036e89c0feaec41f5

Observation 55c3bc29-190f-4e09-9576-83e190a432f5 · outbound

This paper cites Cooperative particle swarm opti- mization with a bilevel resource allocation mechanism for large-scale dynamic optimization,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Cooperative particle swarm opti- mization with a bilevel resource allocation mechanism for large-scale dynamic optimization,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.742644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b74558b0-8759-489d-b0ea-25450c75056c · outbound

This paper cites Discrete colonel blotto and general lotto games,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Discrete colonel blotto and general lotto games,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.730277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.448950Z digest=sha256:0d62fa1ec9d2107fd1ae4039cb749276595f0ed91bd7458f702c12384dd6443c

Observation 61979477-14b1-4315-9ed9-8fbcfe86df5f · outbound

This paper cites Generalizations of the colonel blotto and general lotto games,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Generalizations of the colonel blotto and general lotto games,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.717233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 57367c68-237f-4c25-9ede-d2a9fccbcc4a · outbound

This paper cites Double oracle algorithm for game-theoretic robot allocation on graphs,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Double oracle algorithm for game-theoretic robot allocation on graphs,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.703434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 30d11743-f198-4bf3-aa79-897202535bf6 · outbound

This paper cites Unsupervised resource alloca- tion with graph neural networks,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Unsupervised resource alloca- tion with graph neural networks,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.690680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 1c2506c8-e3a8-4ea9-9162-86bbaa89adb8 · outbound

This paper cites Semi-supervised graph structure learning via dual reinforcement of label and prior structure,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Semi-supervised graph structure learning via dual reinforcement of label and prior structure,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.678091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ed848f14-b2c3-4de6-bbdd-d15c8450f097 · outbound

This paper cites A three- stage colonel blotto game with applications to cyber-physical security,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning A three- stage colonel blotto game with applications to cyber-physical security,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.665566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation c1c5ea0a-0707-4e79-8929-43b17f5544e7 · outbound

This paper cites A blotto game with incomplete information,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning A blotto game with incomplete information,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.652838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2e4ce428-1faa-44a6-933f-da3d6ad7f9ef · outbound

This paper cites Reinforcement Learning Agents in Colonel Blotto.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Reinforcement Learning Agents in Colonel Blotto

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:14:57.573795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation dd57967a-801f-426f-9572-795ca0c641be · outbound

This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Bert: Pre-training of deep bidirectional transformers for language understanding,

Reference 25

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unresolved
no resolver link, observed 2026-08-07T05:14:57.481195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:14:57.481195Z digest=sha256:e774cb0ebb8c11b0c5113fda160e0c233c4de6b5ca62fcd34afa84a0a338f43f

Observation cb4af9b8-e821-4604-828d-a9f19f839827 · outbound

This paper cites Pointer networks,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Pointer networks,

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T05:14:57.485018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:14:57.485018Z digest=sha256:1d83d9887104a2c9e039e8d2903d089a08e62c0e30bb07657926e078a0712d3f

Observation 1c6422de-1128-48f8-a832-1cafefe1501e · outbound

This paper cites Attention is all you need,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Attention is all you need,

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T05:14:57.488871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:14:57.488871Z digest=sha256:fb5de4dae9ef7d564358fbda1d96896c028bfba96eded54d7b25ed78b3cd89bf

Observation 37153b47-52aa-4a56-b6a5-6ebf7e8210fc · outbound

This paper cites How Attentive are Graph Attention Networks?.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning How Attentive are Graph Attention Networks?

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T05:14:57.492593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:14:57.492593Z digest=sha256:d1d9713b6e76bd678ecd1e857e6fdd90f79c99baede5a9e625a3b116521a7b78

Observation 2af3cea2-9761-4350-a413-595b49ab646f · outbound

This paper cites Sample efficient reinforcement learning with reinforce,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Sample efficient reinforcement learning with reinforce,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.614080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation c4851684-44e2-4c51-859c-5805b2c2d9bd · outbound

This paper cites Proximal Policy Optimization Algorithms.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Proximal Policy Optimization Algorithms

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T05:14:57.500809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:14:57.500809Z digest=sha256:7a121a7f9924e70c800746e43e47fa94ed16196e36a559cef50cc0c281022b66

Observation 9a0e7b64-36d5-4455-a2f5-f0c085aef5fb · outbound

This paper cites Traveling-salesman-problem algorithm based on simulated annealing and gene-expression programming,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Traveling-salesman-problem algorithm based on simulated annealing and gene-expression programming,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.600703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.504965Z digest=sha256:0836c448ea9e183ae6c9170df4bdd063f4a49365413d13f7f8d2acb3a2060424

Observation a6e08b11-1657-4cf6-87ca-4f9092551559 · outbound

This paper cites Graph pointer neural networks,.

HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning Graph pointer neural networks,

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:14:57.587271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:14:57.508895Z digest=sha256:155336dac493f560b9427f1defedbb5750bf01a17c4979439d89778d7b4410d1

Pith citing papers

No inbound Pith citation observations are available.