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Paper Citation Record · LEDGER

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning

As of 21 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2607.08703.

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

pith.paper-citation-record.v1
2607.08703 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T02:49:33.567169Z

measured 13 of 13 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

13 of 13 outbound references displayed

  • verified exact7
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 527032db-e6bd-485f-bbe4-4c94db1ad857 · outbound

This paper cites Learning Combinatorial Optimization Algorithms over Graphs.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Learning Combinatorial Optimization Algorithms over Graphs

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-10T02:56:43.527026Z

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=2026-07-10T02:49:33.567169Z digest=sha256:43b7cb196c23697f49f02a7716d9cb1a910a506e29b2619a4e978825aef6efa6

Observation 5c09f99d-0614-4432-b257-bb9aef27692e · outbound

This paper cites 26 Michael Hamann and Ben Strasser.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning 26 Michael Hamann and Ben Strasser

Reference 2

Resolution
metadata mismatch
arxiv_id, observed 2026-07-10T02:56:43.429880Z

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=2026-07-10T02:49:33.567169Z digest=sha256:8229e6011cb98b7621f5d0a74b07c2135de0aa5bd6b4d3d5485ebe0e1db8da0b

Observation 69914551-a650-43d5-83e6-8a9b5086aeee · outbound

This paper cites Autoopen.https://docs.lightning.engineering/lightning-network-tools/ lightning-terminal/autoopen, 2024a.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Autoopen.https://docs.lightning.engineering/lightning-network-tools/ lightning-terminal/autoopen, 2024a

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T02:56:44.018102Z

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=2026-07-10T02:49:33.567169Z digest=sha256:87419b6ddbee6b901b777cbedc7204d8216d957c5c830925f26d9d2a95d59317

Observation f9a7d69c-0ac5-40b3-a61a-9ab12c036677 · outbound

This paper cites Continuous control with deep reinforcement learning.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Continuous control with deep reinforcement learning

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-07-10T02:56:43.517002Z

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=2026-07-10T02:49:33.567169Z digest=sha256:890f2534ab6c496180e336afc8dd56ae82e1b0b472e7642d42922c448633f029

Observation 8ad9131a-7af0-45cf-8b20-f10d2e21a72e · outbound

This paper cites Asynchronous Methods for Deep Reinforcement Learning.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Asynchronous Methods for Deep Reinforcement Learning

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-07-10T02:56:43.532753Z

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=2026-07-10T02:49:33.567169Z digest=sha256:4df2bc897145f20fd781a9c167088864e7210c5424495a54aceee03d572ac920

Observation b9963c1e-6423-4d81-8487-8673f6f3a822 · outbound

This paper cites Optimally Reliable & Cheap Payment Flows on the Lightning Network.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Optimally Reliable & Cheap Payment Flows on the Lightning Network

Reference 7

Resolution
metadata mismatch
local_arxiv, observed 2026-07-10T02:56:43.519544Z

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=2026-07-10T02:49:33.567169Z digest=sha256:4f0912144ac23850a902524174ced0fda30af1e0ab024c1edf8f3719a223c25a

Observation 10c4784a-3b73-45bf-ace4-a5cc402f4f5e · outbound

This paper cites Security and Privacy of Lightning Network Payments with Uncertain Channel Balances.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Security and Privacy of Lightning Network Payments with Uncertain Channel Balances

Reference 8

Resolution
metadata mismatch
local_arxiv, observed 2026-07-10T02:56:43.524328Z

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=2026-07-10T02:49:33.567169Z digest=sha256:643326cef50c9f7cec2409080c898b9ba6a19579b7d4463c6b7feca8e97da192

Observation 16c87d4a-5cdc-4c5f-a42a-f0d384c3d9ba · outbound

This paper cites Proximal Policy Optimization Algorithms.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Proximal Policy Optimization Algorithms

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-07-10T02:56:43.535683Z

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=2026-07-10T02:49:33.567169Z digest=sha256:00d9bb8383866ca2a4e16dbf31a6b828a9c138b71a9e2b1ccd2197bd920bde54

Observation 67c0c48d-3c31-4337-8e81-e99acdd6eeaa · outbound

This paper cites In: International Conference on Learning Representations (ICLR) (2019).

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning In: International Conference on Learning Representations (ICLR) (2019)

Reference 10

Resolution
verified exact
doi, observed 2026-07-10T02:56:43.426960Z

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=2026-07-10T02:49:33.567169Z digest=sha256:e8669a692aa1e240b358d8a89c0c0592b8639d7193cf463464e66a3c9eb46323

Observation 1199b9c6-0038-4ab9-a9cb-acd7c3281e6d · outbound

This paper cites Channel balance interpolation in the lightning network via machine learning.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Channel balance interpolation in the lightning network via machine learning

Reference 12

Resolution
metadata mismatch
arxiv_id, observed 2026-07-10T02:56:43.530123Z

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=2026-07-10T02:49:33.567169Z digest=sha256:60040aef6a9762af97d7e555e82b105911e6c93d00bf0b3af1aa92ffa8d54c74

Observation 1908a265-4f27-47e1-b2fb-d67fb53287ea · outbound

This paper cites Flash: Efficient Dynamic Routing for Offchain Networks.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Flash: Efficient Dynamic Routing for Offchain Networks

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-07-10T02:56:43.521927Z

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=2026-07-10T02:49:33.567169Z digest=sha256:e54aa1bbc48343d7294c04f440dc771cd8fcaef88888cfc4fe65704733c75d27

Observation 5378380f-54ef-4d1f-af28-ced1a9ad195f · outbound

This paper cites doi: 10.1109/TNNLS.2023.3281643.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning doi: 10.1109/TNNLS.2023.3281643

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-10T02:56:43.432896Z

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=2026-07-10T02:49:33.567169Z digest=sha256:2b890446d8a7b1bdfe3f2ba017784fa9e0f9cd60b8789ca232f363271100e0f1

Observation 72a529ca-9641-42d9-9415-c4a3805fb479 · outbound

This paper cites an unresolved cited work.

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-10T02:56:44.016234Z

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=2026-07-10T02:49:33.567169Z digest=sha256:4da7b9b67c3f38d5305055324344366f0755749688b24b0c9a548ed1b6b2a1c6

Pith citing papers

No inbound Pith citation observations are available.