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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 2026-08-21T06:32:19.484+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

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:5df5502e844f0669348652d11659166d3311b5fdee12813ae475af683a51f551

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:175fc59c9b46dda74357909bcaa3cd91de451b3f33301b31014951fc12f5edd8

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:a910d84bbb81c7511b158b6372e7809ead77708ddc342e6640d9272443da7040

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:fec8b64b4a254747cc9532e64a6c00a04876e726ba44eb1a9cab150e3284f881

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:bf062dcb0a23536e821bea4c8fc0867d28cdf8840ce7986f1a74d3cae1255b2e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:66f69312b138b98c8cc42bab702d57e41e7b108564ee71cdecb2dbff4853bce9

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:a8856b8dd1da8c99608ac9670a676947cbf399f59706671468afdf08659bab92

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:92d449b6f7a34a797df2079d05707119e6842a4268e6609480577ad68f005cda

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:ce2f0101f686b241b29b63bca98e00b97388c8f7c8b3b26ad595a3cf0afad475

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:e3993f51fca88ff7d48eabb08ee4352ad55bf77c3dbda0be3e0bd3ed16bae8b7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:f1dcab70f725c0f4e5934913f493ac983be0136cb6cc659ae7ff5445652d4d5a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:4e9a018c093bf7dc223d457e755c86311ad7d1adf2250f1c98957b9945a226c6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T02:49:33.567169Z digest=sha256:2d99f81eca11aa073c53682ff19259f6ef8153f7bc149090d6c3ebceb7ca27db

Pith citing papers

No inbound Pith citation observations are available.