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Paper Citation Record · LEDGER

Local Sherman's Algorithm for Multi-commodity Flow

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2501.10632.

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

pith.paper-citation-record.v1
2501.10632 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:16:12.195488Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cd2e1d51-6bb5-40e7-9465-1e84bb409304 · outbound

This paper cites Italiano, Veronika Loitzenbauer, and Nikos Parotsidis.

Local Sherman's Algorithm for Multi-commodity Flow Italiano, Veronika Loitzenbauer, and Nikos Parotsidis

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.472722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.113637Z digest=sha256:fe6eb013dbe563054be081087ddfaaa805f77d4a3f8ff5a8dc2bd895cd58baf0

Observation f8f77105-74fa-402f-9df3-87bf4a6108ce · outbound

This paper cites Deterministic Expander Routing: Faster and More Versatile.

Local Sherman's Algorithm for Multi-commodity Flow Deterministic Expander Routing: Faster and More Versatile

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:16:12.250332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.118736Z digest=sha256:7b7f3e309169a33bc5eeea85b1330f6fb7672b0a39d926728ed895184df323f4

Observation 373abb1d-be52-492a-8ae9-08bbac858ac0 · outbound

This paper cites Maximum flow and minimum-cost flow in almost-linear time.

Local Sherman's Algorithm for Multi-commodity Flow Maximum flow and minimum-cost flow in almost-linear time

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.460562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.123354Z digest=sha256:75b52dc753b2eeb8302daabb6cb0e5a4ae9dc14ed8b0058779f7997e89dd4bad

Observation 923a9786-249e-4f62-bc9a-7d05bbce5d5d · outbound

This paper cites Electrical flows, laplacian systems, and faster approximation of maximum flow in undirected graphs.

Local Sherman's Algorithm for Multi-commodity Flow Electrical flows, laplacian systems, and faster approximation of maximum flow in undirected graphs

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.446934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.127343Z digest=sha256:89a802df9c14eda57f79eac6cb75187f144d3d725e2a15442f4f07b3e8791a3d

Observation 70d4fd31-4bab-45f5-9ccf-7f179832c52d · outbound

This paper cites Parallel and Distributed Expander Decomposition: Simple, Fast, and Near-Optimal.

Local Sherman's Algorithm for Multi-commodity Flow Parallel and Distributed Expander Decomposition: Simple, Fast, and Near-Optimal

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T19:16:12.133454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T19:16:12.133454Z digest=sha256:b85fcc733a35867a49d2bc6119a7b2190b09e926a574bd4d8bb7bf9bfa434055

Observation bedfb775-7500-4a18-b6e3-3a7eff93acaf · outbound

This paper cites Algorithm for solution of a problem of maximum flow in networks with power estimation.

Local Sherman's Algorithm for Multi-commodity Flow Algorithm for solution of a problem of maximum flow in networks with power estimation

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.434814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.138093Z digest=sha256:492f3b2cc42b3f31b3537ac7a4992e685ddf49e306f30b71a39af1e078552aaf

Observation 1f48b395-58cb-4905-ae63-599457e5bbb0 · outbound

This paper cites Two-commodity flow is equivalent to linear programming under nearly-linear time reductions.

Local Sherman's Algorithm for Multi-commodity Flow Two-commodity flow is equivalent to linear programming under nearly-linear time reductions

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.423299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.142327Z digest=sha256:387b1f9789f478b8b9d247448f41e28fa30333b2c6bf7ca063e0a6b22e6b739f

Observation f32c7b49-0d13-481a-9d44-0214d49f57c1 · outbound

This paper cites Maximal flow through a network.

Local Sherman's Algorithm for Multi-commodity Flow Maximal flow through a network

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.411344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.146337Z digest=sha256:48a6aca781141d5b5241b5ec88daea53960e71c4c33127f396f7f5a663a37185

Observation 0e53532f-885e-4af7-ae0d-789c8c04a188 · outbound

This paper cites Computing and testing small connectivity in near-linear time and queries via fast local cut algorithms.

Local Sherman's Algorithm for Multi-commodity Flow Computing and testing small connectivity in near-linear time and queries via fast local cut algorithms

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.400442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.150074Z digest=sha256:dea0f378fc35cc1be8403b88445e4d4423aec3290b0a764dc52e180377cb3605

Observation bc6f97d7-fc0b-4f37-973c-fe4a6274f312 · outbound

This paper cites Goldberg and Satish Rao.

Local Sherman's Algorithm for Multi-commodity Flow Goldberg and Satish Rao

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T19:16:12.153961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T19:16:12.153961Z digest=sha256:9b08e08c62cd225ca420c2d99b24654e736ec737f0b7ce9003ef2e9f944378dd

Observation 519c7a44-174d-49f4-a34d-42101fee4835 · outbound

This paper cites Low-step multi-commodity flow emulators.

Local Sherman's Algorithm for Multi-commodity Flow Low-step multi-commodity flow emulators

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.382423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.157670Z digest=sha256:c248d7996eb010b6e0dfa02c55472e151e6290a740733e03b0e41fa221c45ca6

Observation 1a2b5ebe-a445-4bf0-ace0-dc5b4f47ee6f · outbound

This paper cites Dynamic deterministic constant-approximate distance oracles with n^ worst-case update time.

Local Sherman's Algorithm for Multi-commodity Flow Dynamic deterministic constant-approximate distance oracles with n^ worst-case update time

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.370750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.161397Z digest=sha256:7861c4ab15fc25ee1e44fce5aa44ca08d21937143b7dac10684b7632b8c731bf

Observation efa390f0-ea8e-484f-b585-57a63b4405bb · outbound

This paper cites Local flow partitioning for faster edge connectivity.

Local Sherman's Algorithm for Multi-commodity Flow Local flow partitioning for faster edge connectivity

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.358444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.165457Z digest=sha256:54b002bd98d4ad2c8d8c640ee7561cca7cec0f955b87e8cab580fb019c2bc2d9

Observation 97d8e93e-b7da-46a8-89b0-dc5db2485deb · outbound

This paper cites Liu and Aaron Sidford.

Local Sherman's Algorithm for Multi-commodity Flow Liu and Aaron Sidford

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.345968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.169538Z digest=sha256:f50e84a5d4198f6e8ec996a92a1885c7853ff54c524b19f7db67eb82a7172e79

Observation b4ac4de7-5b00-4e25-be57-521ef5da23dc · outbound

This paper cites Breaking quadratic time for small vertex connectivity and an approximation scheme.

Local Sherman's Algorithm for Multi-commodity Flow Breaking quadratic time for small vertex connectivity and an approximation scheme

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.332949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.172924Z digest=sha256:6f3c248205db98c71fe4b10a4698f2d8698f3b7f77268fea77d71dddd7c510de

Observation 4fa6f60e-231f-45c9-b3b7-85f3ead3a61e · outbound

This paper cites Flow-based algorithms for local graph clustering.

Local Sherman's Algorithm for Multi-commodity Flow Flow-based algorithms for local graph clustering

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.320373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.176391Z digest=sha256:7c93fc92050852f0587d7bf41c880897666b32dafc565763dfc46e5baaf36869

Observation 4a6f798e-0f5b-494c-b848-cbd7abfe68b2 · outbound

This paper cites Nearly maximum flows in nearly linear time.

Local Sherman's Algorithm for Multi-commodity Flow Nearly maximum flows in nearly linear time

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.309096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.179947Z digest=sha256:98dad2db075733c1e3a25145bd7e8b477aace0fe2e8d7b62865ace400e6a6792

Observation 7602f123-7a27-4967-bf95-9a3d6fe49dfb · outbound

This paper cites Area-convexity, l_ regularization, and undirected multicommodity flow.

Local Sherman's Algorithm for Multi-commodity Flow Area-convexity, l_ regularization, and undirected multicommodity flow

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.296700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.183730Z digest=sha256:c5f6d1803f85a78793155650922a8b1596a792335336f70a96005dbd7bb1b0bc

Observation 3bb341dc-439c-4f28-b8c4-c3ac11a4a3d8 · outbound

This paper cites Expander decomposition and pruning: Faster, stronger, and simpler.

Local Sherman's Algorithm for Multi-commodity Flow Expander decomposition and pruning: Faster, stronger, and simpler

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.284605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.187216Z digest=sha256:4b0023696613065c4bcb2b6917e6cccd28c64e6ca3a672e448b52358cb58ab4e

Observation db86bcfb-4859-4ff3-882e-674ee6b5a238 · outbound

This paper cites A deterministic almost-linear time algorithm for minimum-cost flow.

Local Sherman's Algorithm for Multi-commodity Flow A deterministic almost-linear time algorithm for minimum-cost flow

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-10T19:16:12.190872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T19:16:12.190872Z digest=sha256:dece49b9d8566f89a2dea9d041ff5470e346367f2662b120c759f7850d73e7f5

Observation 2d186f25-edaa-473b-8002-e28e8500718f · outbound

This paper cites Faster high accuracy multi-commodity flow from single-commodity techniques.

Local Sherman's Algorithm for Multi-commodity Flow Faster high accuracy multi-commodity flow from single-commodity techniques

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:16:12.263845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-10T19:16:12.195488Z digest=sha256:889eaad3452dc7d661c9945245ba75cf1a1984e45b0c298fc21d1b720ff33c4e

Pith citing papers

No inbound Pith citation observations are available.