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Paper Citation Record · LEDGER

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs

As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2506.04524.

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

pith.paper-citation-record.v1
2506.04524 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:52:50.416822Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

29 of 29 outbound references displayed

  • verified exact2
  • verified fuzzy27
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3a713d28-08a3-44c6-9d86-2662f51fd33c · outbound

This paper cites Coresets meet edcs: algorithms for matching and vertex cover on massive graphs.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Coresets meet edcs: algorithms for matching and vertex cover on massive graphs

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.707025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation b96465d0-bd55-4304-948c-b6b82a7b3076 · outbound

This paper cites Distributed load balancing: A new framework and improved guarantees.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Distributed load balancing: A new framework and improved guarantees

Reference 2

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raw_fallback, observed 2026-08-07T10:52:50.698171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.336801Z digest=sha256:6f03af5b6a594812cc724ca079d3ab2a42d43ac205aadf5d36ab4572979db2fc

Observation e0c97053-57a3-4581-a61f-3fdcf5a70db0 · outbound

This paper cites Online ad allocation in bounded-degree graphs.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Online ad allocation in bounded-degree graphs

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.689428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.340106Z digest=sha256:e3cefae476a024e0d069ae48e8cdd9c5f8f32e83c996c7626a316677a588a61d

Observation e15f2855-5180-4fce-b275-ad18d2d170d0 · outbound

This paper cites Mirrokni.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Mirrokni

Reference 4

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raw_fallback, observed 2026-08-07T10:52:50.681099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.343284Z digest=sha256:10027a017ba9adca79010aeabc1276110c946ed87de88c2c133e9953cf99fbba

Observation 4843e840-4743-4b3a-9abf-536ccc9d5ee4 · outbound

This paper cites Karp, and Jara Uitto.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Karp, and Jara Uitto

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.672384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.346770Z digest=sha256:4e0ec925c8ebdb6b86a82d672f3c659f21bbfdeaf4950c1f9d3f5c06aa1de04c

Observation b5de92fa-2973-4543-94e7-74e2e2522176 · outbound

This paper cites Exponentially faster massively parallel maximal matching.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Exponentially faster massively parallel maximal matching

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.663379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.350146Z digest=sha256:1bb2e450b621f742abf4e8a36d28f06c4b3843c17a20420108b4bdaeec7f6def

Observation 1ba20167-ff41-4e43-b957-7f53106e6040 · outbound

This paper cites Balseiro, Haihao Lu, and Vahab Mirrokni.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Balseiro, Haihao Lu, and Vahab Mirrokni

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.655073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.353897Z digest=sha256:9e1b9dab624004ddab119e4df00cf0437f3ccc537f11c89d0550a42a532ba47e

Observation 3eeb4e95-f9f0-4cb3-8b25-4a4a4e755364 · outbound

This paper cites Component stability in low-space massively parallel computation.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Component stability in low-space massively parallel computation

Reference 8

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raw_fallback, observed 2026-08-07T10:52:50.646555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.356911Z digest=sha256:1e3d81fd683e41a113a26c5c0056ce0c82c9ae8bc4a7cb569b4616edc916905e

Observation 644fa4b4-8bf9-492a-90a0-76e3839c32b7 · outbound

This paper cites Round compression for parallel matching algorithms.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Round compression for parallel matching algorithms

Reference 9

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raw_fallback, observed 2026-08-07T10:52:50.637839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.359846Z digest=sha256:10bd9f8f8f3d125f0b52148863dcc28cba5af534093d58d3e64219e511f5e529

Observation a5f7013c-4b1a-42d9-b9e4-524da8a0b341 · outbound

This paper cites Parallel set cover and hypergraph matching via uniform random sampling.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Parallel set cover and hypergraph matching via uniform random sampling

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.629479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.362596Z digest=sha256:48b1a71b70f7564915f09a766fc168c682cce403b7a87d7aece916f5ee366212

Observation e6e596e1-c2d9-4b01-9acd-f1e3c24cbbc7 · outbound

This paper cites Mapreduce: simplified data processing on large clusters.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Mapreduce: simplified data processing on large clusters

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.620707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.365580Z digest=sha256:c5ab5d5009b802aa8c0ced9d32bfa01aeeb1f761427cd614462a51451054359c

Observation 305e2234-7cf3-407a-aa88-e6fdaff38cd6 · outbound

This paper cites Devanur, Kamal Jain, Balasubramanian Sivan, and Christopher A.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Devanur, Kamal Jain, Balasubramanian Sivan, and Christopher A

Reference 12

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.611842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.368519Z digest=sha256:e1b2c4ed2e9f7feabe97fec9c775894326f83fb6580dda5e89a15e982341cfed

Observation 69e4e3d8-c825-4185-a648-ea67dfb2346c · outbound

This paper cites Dickerson, Karthik A.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Dickerson, Karthik A

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.371446Z digest=sha256:b650186c2d429bc8ba1782d5cac8b10a4b51be1a0e53ebdfdde0bc862b508ca1

Observation 333a4d0c-5da0-4d3f-a63e-f8723e883e94 · outbound

This paper cites Online ad assignment with free disposal.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Online ad assignment with free disposal

Reference 14

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raw_fallback, observed 2026-08-07T10:52:50.593674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.374261Z digest=sha256:8f6b4b0db21f281540082720f1dcecfdd18436206db807c7f17a56436ae8d093

Observation 2a9a3230-909a-4edd-9584-52ebe1d3cede · outbound

This paper cites Improved MPC Algorithms for MIS, Matching, and Coloring on Trees and Beyond.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Improved MPC Algorithms for MIS, Matching, and Coloring on Trees and Beyond

Reference 15

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raw_fallback, observed 2026-08-07T10:52:50.584616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.377061Z digest=sha256:a857eeff919fd6aee1ce9e58737a0896d352f94100d0748c339d7a2f45c04465

Observation 3c2dd6b4-a028-45eb-a7aa-111847d0c1a0 · outbound

This paper cites Improved massively parallel computation algorithms for mis, matching, and vertex cover.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Improved massively parallel computation algorithms for mis, matching, and vertex cover

Reference 16

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raw_fallback, observed 2026-08-07T10:52:50.575769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.379684Z digest=sha256:2c241b25f03af5bf72ffc964691bf37715afc43f9e83294e151bf2d1b8121150

Observation da087578-fa0b-44ff-8f4e-4ed74a07f251 · outbound

This paper cites Massively parallel algorithms for b-matching.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Massively parallel algorithms for b-matching

Reference 17

Resolution
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raw_fallback, observed 2026-08-07T10:52:50.567141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.382307Z digest=sha256:9ea4a44584a3e0d72ce962f177b64f09cad1f548b7a34715d667675e9011fccf

Observation 8f6664d6-f26f-44f1-b48e-73c283e92970 · outbound

This paper cites Conditional hardness results for massively parallel computation from distributed lower bounds.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Conditional hardness results for massively parallel computation from distributed lower bounds

Reference 18

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.557680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.384979Z digest=sha256:9dbd5ba15ce256da10781b2cedf665e8d600e812bdd0de34f2106525c8891321

Observation 35459f69-c667-453a-aa7d-3cefaafa8d18 · outbound

This paper cites Sorting, searching, and simulation in the mapreduce framework.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Sorting, searching, and simulation in the mapreduce framework

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.548336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.387685Z digest=sha256:74f66672bd611b79579845386ab0eb7a9b1dc35147f7d22c30dfa3747070b09c

Observation c6f3d01e-8512-49d3-82c6-f7c5d4aff6ce · outbound

This paper cites Sparsifying distributed algorithms with ramifications in massively parallel computation and centralized local computation.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Sparsifying distributed algorithms with ramifications in massively parallel computation and centralized local computation

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.539199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.390265Z digest=sha256:7dbba67c7bbc3a23263911b8cd91e51b0a8b3565e94ea548f6d01103cbba5192

Observation 1dbf4d45-75fa-4e99-9d45-858dc5145526 · outbound

This paper cites Mirrokni, and Morteza Zadimoghaddam.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Mirrokni, and Morteza Zadimoghaddam

Reference 21

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raw_fallback, observed 2026-08-07T10:52:50.530087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.393244Z digest=sha256:bc309d77d8eee095303d772e2bea894f7491577a7b71221bb724e77ed4a272eb

Observation 9e617132-6eab-4f5a-a785-bbcc389a5da0 · outbound

This paper cites A model of computation for mapreduce.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs A model of computation for mapreduce

Reference 22

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raw_fallback, observed 2026-08-07T10:52:50.520477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.396079Z digest=sha256:44833db273fad245993483c9ee8b57b9bc8debed97a9cc475433227778d42edf

Observation 63c0f1ae-1905-410e-9f2e-c80027c6086c · outbound

This paper cites Scalable Auction Algorithms for Bipartite Maximum Matching Problems.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Scalable Auction Algorithms for Bipartite Maximum Matching Problems

Reference 23

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local_arxiv, observed 2026-08-07T10:52:50.465034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.398844Z digest=sha256:37b51e9a3da75d801c1544d14709ed909ff948d2f73244f2f2b999be335d4814

Observation 30f13389-d7ba-4175-ab25-387b7f689966 · outbound

This paper cites Filtering: a method for solving graph problems in mapreduce.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Filtering: a method for solving graph problems in mapreduce

Reference 24

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raw_fallback, observed 2026-08-07T10:52:50.511384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.402128Z digest=sha256:b2ff1f4f7df968cbafa4e51beefb183c5b41375871c697e1484eca3336e2c629

Observation 12f73375-61e4-422b-b52b-438ebd3a4d4b · outbound

This paper cites Brief announcement: Exponential speed-up of local algorithms using non-local communication.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Brief announcement: Exponential speed-up of local algorithms using non-local communication

Reference 25

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raw_fallback, observed 2026-08-07T10:52:50.502231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.404976Z digest=sha256:a5f072be8fdeb506733d8feb4fd6287535be8e6b2a94336c72aa6fb700615156

Observation c761bf3b-cbe0-49e5-b4b7-ee59f3890e4e · outbound

This paper cites Adwords and generalized online matching.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Adwords and generalized online matching

Reference 26

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raw_fallback, observed 2026-08-07T10:52:50.493122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.407484Z digest=sha256:e5a9dede971bdb247d3f7dbf00f032d743ddb98debb128b2adfaff782b588fa7

Observation 0bedf720-cf2e-4c03-8ba9-4e9fb8dcab1e · outbound

This paper cites Optimal online assignment with forecasts.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Optimal online assignment with forecasts

Reference 27

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raw_fallback, observed 2026-08-07T10:52:50.483781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.410463Z digest=sha256:7b73467176a6c44288d38e6b1869de9d1f983a60a663be7c7b28fc3cbf76a27c

Observation 8a5098b1-a7aa-47ee-abf8-c7e675ff5b5e · outbound

This paper cites Socially enabled wireless networks: Resource allocation via bipartite graph matching.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Socially enabled wireless networks: Resource allocation via bipartite graph matching

Reference 28

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.474445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.413484Z digest=sha256:aff4028c5454f972e0ab11701c6fadd64dd8a17d81d7c0449f24d63789ade3d2

Observation 4109daae-dfab-4670-82f3-cd1228246363 · outbound

This paper cites Learning Robust Algorithms for Online Allocation Problems Using Adversarial Training.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Learning Robust Algorithms for Online Allocation Problems Using Adversarial Training

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:52:50.450204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.416822Z digest=sha256:e5d0a8d08db2cfac0f807e228048c78916f31b9e4dd7889eabf46ea698ecc0c1

Pith citing papers

No inbound Pith citation observations are available.