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Paper Citation Record · LEDGER

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach

As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.03022.

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

pith.paper-citation-record.v1
1908.03022 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:42:07.531862Z

measured 31 of 31 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

31 of 31 outbound references displayed

  • verified exact2
  • verified fuzzy25
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b5dc6d9c-ad52-4950-8187-3c53801f2002 · outbound

This paper cites Explicit construction of exponential sized families of k-independent sets.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Explicit construction of exponential sized families of k-independent sets

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.829380Z

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=2026-08-14T14:42:07.441698Z digest=sha256:bbdef73812c2d37472483186156197b5f7c657e714d51a42295dda22402bad1c

Observation c80936f5-8bff-4dbe-9a74-ffe2e0853831 · outbound

This paper cites Deterministic combinatorial replacement paths and distance sensitivity oracles.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Deterministic combinatorial replacement paths and distance sensitivity oracles

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.820873Z

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=2026-08-14T14:42:07.445324Z digest=sha256:5da32eb300cc2e3d69d713751a00f25af9779122ac0cc71bdc83d483df98e9ce

Observation 4b9963a3-1dde-40f4-ad39-b9c599774d4b · outbound

This paper cites Fast distributed approximation for TAP and 2-edge-connectivity.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Fast distributed approximation for TAP and 2-edge-connectivity

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.811495Z

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=2026-08-14T14:42:07.448530Z digest=sha256:32cd00df0bd7a893424871b95f7e8bcf3f25380fe03f58de9836b71ac9d6c1e9

Observation 7229e383-a566-4095-b938-8f47fb9fea94 · outbound

This paper cites Fault tolerant spanners for general graphs.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Fault tolerant spanners for general graphs

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.802671Z

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=2026-08-14T14:42:07.451567Z digest=sha256:ba53b282db82d3e0bd810bd585a25238059ddf0adb0e52f505cfa3f60a096376

Observation 90cdde63-1286-478d-b621-4b7bded33bcf · outbound

This paper cites Distributed edge connectivity in sublinear time.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Distributed edge connectivity in sublinear time

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.793946Z

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=2026-08-14T14:42:07.454940Z digest=sha256:12d13d52a74ee0244ffb075424f9462c2e92558c6f459fc920e188aaa1807f6b

Observation d715aa03-d5d4-479c-a96c-0fe8f974f714 · outbound

This paper cites Fault-tolerant spanners: better and simpler.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Fault-tolerant spanners: better and simpler

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.784361Z

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=2026-08-14T14:42:07.457886Z digest=sha256:89d896944987a7e94b8de371ea64264b833a5a24b57ffb1f4a8e005bd6eff8a0

Observation 15f16a2d-a944-4b79-89bf-d2297acbd0b5 · outbound

This paper cites Distributed approximation of minimum k-edge-connected spanning subgraphs.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Distributed approximation of minimum k-edge-connected spanning subgraphs

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.775455Z

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=2026-08-14T14:42:07.461049Z digest=sha256:ed69478aaad780596f9fa2042bf42079656e9eb1282a3955a32ff9ac185199ce

Observation 2ca3b0bd-345b-4391-9c47-d428d8849931 · outbound

This paper cites On mixed connectivity certificates.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach On mixed connectivity certificates

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.766314Z

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=2026-08-14T14:42:07.463812Z digest=sha256:c758f3b2226a343c00ee07932add6a2ac8bf9f8a81a384e106991fa8351e4dad

Observation 0927518e-9918-440e-acba-564a560c43cb · outbound

This paper cites Constructing o (n log n) size monotone formulae for the k-th elementary symmetric polynomial of n boolean variables.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Constructing o (n log n) size monotone formulae for the k-th elementary symmetric polynomial of n boolean variables

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.757414Z

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=2026-08-14T14:42:07.466534Z digest=sha256:06fe176e44954377ee1f9723bfc248a79a55b6f814de8db10e88add0e76b0aa9

Observation e615098d-a2b4-4a1f-8a8b-38cf136f251a · outbound

This paper cites Improved Distributed Algorithms for Fundamental Graph Problems.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Improved Distributed Algorithms for Fundamental Graph Problems

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.748123Z

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=2026-08-14T14:42:07.469376Z digest=sha256:9da4d89196275d0efe3b894ae3fd437e2273a57d0cc7c6522de929ea274a18a5

Observation 8fff1102-f3cd-48fd-8814-195ec47874f0 · outbound

This paper cites Distributed minimum cut approximation.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Distributed minimum cut approximation

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.739065Z

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=2026-08-14T14:42:07.472282Z digest=sha256:2df25e895c55caabc6f6395e031b086e9c94934a18c698c725c589e59c36ff64

Observation bee75c45-7933-45b2-995e-451b9b2cd137 · outbound

This paper cites Distributed Minimum Cut Approximation.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Distributed Minimum Cut Approximation

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:42:07.583306Z

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=2026-08-14T14:42:07.475071Z digest=sha256:c6af8a2c4ae504fd5d8135b08c9061adefc3d0acfbfb9e30e193b5a190156e23

Observation afee7bec-28ba-4fe6-9fec-b06a97fc454a · outbound

This paper cites Derandomizing distributed algorithms with small messages: Spanners and dominating set.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Derandomizing distributed algorithms with small messages: Spanners and dominating set

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.730150Z

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=2026-08-14T14:42:07.478407Z digest=sha256:03cfe73136bed328cfceeff5b51566c8d83f3f5191f59ac9fe23d435f880c085

Observation ee29e86b-0a18-4a99-8db2-a9d4a559debc · outbound

This paper cites Random sampling in cut, flow, and network design problems.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Random sampling in cut, flow, and network design problems

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.720863Z

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=2026-08-14T14:42:07.481341Z digest=sha256:dcabeb8945eb5627842869d5a8cce7249a53a744aa5874784e961ce04d787d7f

Observation e7eaeb4b-8e59-4df2-8efb-4cc2a8730a69 · outbound

This paper cites Efficient algorithms for constructing fault-tolerant geometric spanners.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Efficient algorithms for constructing fault-tolerant geometric spanners

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.711219Z

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=2026-08-14T14:42:07.484179Z digest=sha256:0e9bb71db44716ab9489c8fbe3a546cbf82860a2c0b15f2f3055f42319f51730

Observation 799c5689-4a70-4738-9504-549002357ab5 · outbound

This paper cites A linear-time algorithm for finding a sparsek-connected spanning subgraph of ak-connected graph.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach A linear-time algorithm for finding a sparsek-connected spanning subgraph of ak-connected graph

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.701990Z

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=2026-08-14T14:42:07.487164Z digest=sha256:773842b4480b8997b79d5e72d9b7f24ff4c822eb12f81ff86c9c87737d6d9446

Observation bab6feb2-3d73-4712-9d56-646ceb50ea34 · outbound

This paper cites Almost-tight distributed minimum cut algorithms.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Almost-tight distributed minimum cut algorithms

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.692585Z

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=2026-08-14T14:42:07.490127Z digest=sha256:4f288f5192369c90df10a0aa3f22a52bfb8096cad2cdb1185a56446aad387638

Observation 8e89e017-7913-4612-937c-223f39c13b2f · outbound

This paper cites Low congestion cycle covers and their applications.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Low congestion cycle covers and their applications

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.683564Z

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=2026-08-14T14:42:07.493181Z digest=sha256:2aa4570b7d709fc673f4cac7f7c1fa8f64f61bf556b84653e252b1e197d17b14

Observation e4a24864-c442-4884-9501-9bcd7db58c4c · outbound

This paper cites Optimal short cycle decomposition in almost linear time.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Optimal short cycle decomposition in almost linear time

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.674287Z

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=2026-08-14T14:42:07.496261Z digest=sha256:abbdc2eba56483b9ada5daed15c7324d93b1e082689dc293788e51aac77b8759

Observation 9b256475-c797-48a4-a951-cb75076b9df3 · outbound

This paper cites Distributed Computing: A Locality-sensitive Approach.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Distributed Computing: A Locality-sensitive Approach

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T14:42:07.499247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:42:07.499247Z digest=sha256:6d9feba11c4038f8f97fa3d8489b4aef0f3b4e84d97917548ba4c083c80d0901

Observation 07e21ebd-ab7c-4d96-9a6f-1305d755f0cb · outbound

This paper cites Distributed algorithms for ultrasparse spanners and linear size skeletons.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Distributed algorithms for ultrasparse spanners and linear size skeletons

Reference 21

Resolution
verified exact
doi, observed 2026-08-14T14:42:07.562238Z

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=2026-08-14T14:42:07.501980Z digest=sha256:96c7ad4d388a63d5dfc89f0571c5278a716a365f66f4fff57e42e09718bbe9c0

Observation 2926e4f1-53e7-40e5-883c-d3c4f046c7f3 · outbound

This paper cites Fast computation of small cuts via cycle space sampling.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Fast computation of small cuts via cycle space sampling

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.659489Z

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=2026-08-14T14:42:07.505046Z digest=sha256:3710fc9116a8fd07da21ebe2c1b61f9d4574ae21015adb226032e00d533c4b1b

Observation 15f43d1a-d12a-4ae9-9a3e-a61395e8de52 · outbound

This paper cites Polylogarithmic-Time Deterministic Network Decomposition and Distributed Derandomization.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Polylogarithmic-Time Deterministic Network Decomposition and Distributed Derandomization

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T14:42:07.507886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:42:07.507886Z digest=sha256:036b3caa8cf55945d29788f14054209ea07ac10ed430235b5f64af6509d64d94

Observation c2cc0a8d-e04d-48df-8273-5be9642a49bf · outbound

This paper cites Distributed verification and hardness of distributed approximation.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Distributed verification and hardness of distributed approximation

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.650334Z

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=2026-08-14T14:42:07.511006Z digest=sha256:685d589ce1fefa96d29d3e81b8012f25e0cfeefe0d66cf5724133bbe23230eee

Observation c4747885-148b-44bb-a439-07737cdd20ba · outbound

This paper cites Sub-linear distributed algorithms for sparse certificates and biconnected components.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Sub-linear distributed algorithms for sparse certificates and biconnected components

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.641382Z

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=2026-08-14T14:42:07.513726Z digest=sha256:1fd7f4db606766b20a6ca81a9751d29578e7e3c58fcf6096e3ba2d4dd102d24c

Observation eec93fd5-62e7-428a-92ab-c6449b31cc88 · outbound

This paper cites an unresolved cited work.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T14:42:07.516373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:42:07.516373Z digest=sha256:4b6d667d2823fbcf58430563c45f72caecad74d027b2129fa534dc5c87ecc6c7

Observation c826d954-1cb2-458b-8efa-810ab331a5a7 · outbound

This paper cites Complex networks: small-world, scale-free and beyond.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Complex networks: small-world, scale-free and beyond

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.632045Z

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=2026-08-14T14:42:07.520319Z digest=sha256:95234aaef635bf07e48d69773ab9f98900e3a656ebe781ccddf80c4f12ddee07

Observation a0bec9b1-01e0-4361-b025-d531107b3936 · outbound

This paper cites Replacement paths and distance sensitivity oracles via fast matrix multiplication.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Replacement paths and distance sensitivity oracles via fast matrix multiplication

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.622212Z

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=2026-08-14T14:42:07.523034Z digest=sha256:886646829d975f2ae43b557bb91ed28a322d483439698feb56cf7e391752428e

Observation 78d66a6e-158a-400c-bbd9-5d49ec41ab8f · outbound

This paper cites Improved Distributed Algorithms for Fundamental Graph Problems.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Improved Distributed Algorithms for Fundamental Graph Problems

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.612396Z

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=2026-08-14T14:42:07.526200Z digest=sha256:3e51e3e7203db744c88a6e9aa43987f0eef4a86b2c9f5c4a10a9d057cbd603d4

Observation 3bf42732-764f-41af-bca5-527ced11e618 · outbound

This paper cites Distributed algorithms for ultrasparse spanners and linear size skeletons.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Distributed algorithms for ultrasparse spanners and linear size skeletons

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:07.602575Z

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=2026-08-14T14:42:07.529094Z digest=sha256:8ec7e6c8caf0cbe47f2eb909d324132cf4bf105b6c91a5e685722a4d01ecd9bc

Observation 90be929d-0afa-4599-9a18-ebd5e51559a4 · outbound

This paper cites an unresolved cited work.

Small Cuts and Connectivity Certificates: A Fault Tolerant Approach Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:07.592912Z

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=2026-08-14T14:42:07.531862Z digest=sha256:a40247b80dfb455297812198d72a43af914e7c11981a2f391b22ab4a660924f3

Pith citing papers

No inbound Pith citation observations are available.