Pith. sign in

Paper Citation Record · LEDGER

Hermitian matrices for clustering directed graphs: insights and applications

As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.02096.

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

pith.paper-citation-record.v1
1908.02096 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:03:47.668009Z

measured 27 of 27 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

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy20
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8929c255-a773-4f93-a8b2-bd0f48c35e75 · outbound

This paper cites The political blogosphere and the 2004 US election: divided they blog.

Hermitian matrices for clustering directed graphs: insights and applications The political blogosphere and the 2004 US election: divided they blog

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:48.099073Z

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=pdf_text observed=2026-08-14T15:03:47.542533Z digest=sha256:5eadb40c41d4239219a7988a53e8a463b37a15952b837b48d8548919d8c7b5b9

Observation 3111f26f-05c7-48b4-97bf-e011cf13caf9 · outbound

This paper cites k-means++: the advantages of careful seeding.

Hermitian matrices for clustering directed graphs: insights and applications k-means++: the advantages of careful seeding

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:48.083205Z

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=pdf_text observed=2026-08-14T15:03:47.547451Z digest=sha256:23da22d455f2ad54cc990233ad3fb7ddca7358a06c28f0e67cfb3bffe5a76563

Observation ffe1cbf5-d5fc-4ae7-9b3e-8fe67ed8fcf5 · outbound

This paper cites an unresolved cited work.

Hermitian matrices for clustering directed graphs: insights and applications Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:03:48.065657Z

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=pdf_text observed=2026-08-14T15:03:47.552478Z digest=sha256:f16aa247e5a3cf3c3a58a3752be5c28713f25149e13e2c89abce84f6b95014c5

Observation 2b52726b-52d4-4cf9-a320-f760ab8d7a25 · outbound

This paper cites On the spectra of general random graphs.Electronic Journal of Combinatorics, 18(1), 2011.

Hermitian matrices for clustering directed graphs: insights and applications On the spectra of general random graphs.Electronic Journal of Combinatorics, 18(1), 2011

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:48.050751Z

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=pdf_text observed=2026-08-14T15:03:47.557356Z digest=sha256:751dc79b2b35a3fc3aba7ded406f6d0ca21c6ded0d21cee979ee3833bbe58240

Observation 065f78a2-d2a5-44fe-9c97-f44dc6d99e77 · outbound

This paper cites Cucuringu.

Hermitian matrices for clustering directed graphs: insights and applications Cucuringu

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:48.036035Z

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=pdf_text observed=2026-08-14T15:03:47.563131Z digest=sha256:8dc09247e7d42964b390ed66028da28663546355a37d0dbd5924a28b80af5d77

Observation 29566e43-2517-4944-a3dc-927dfe7320e2 · outbound

This paper cites Cucuringu, V.

Hermitian matrices for clustering directed graphs: insights and applications Cucuringu, V

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:48.021565Z

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=pdf_text observed=2026-08-14T15:03:47.568727Z digest=sha256:c9e8892f154e9a290baf68c33a8f45d5ecb4033a4d28e4f99660ed13b8643826

Observation 9a6b80b0-cf54-4d80-871c-e116db16cf7d · outbound

This paper cites Cucuringu, Y.

Hermitian matrices for clustering directed graphs: insights and applications Cucuringu, Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:48.005648Z

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=pdf_text observed=2026-08-14T15:03:47.573964Z digest=sha256:39f1a4df619b416d022126efb2ec67f31c1d56b2c58a8b0226f98f753c75dc99

Observation b72bd82a-0686-48d5-b961-4af5d33eebd3 · outbound

This paper cites Davis and W.

Hermitian matrices for clustering directed graphs: insights and applications Davis and W

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.990709Z

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=pdf_text observed=2026-08-14T15:03:47.578734Z digest=sha256:7b16aa7ddaf8ee482c6d1a0ca231e77979414d79a37753d1812ce912e505892e

Observation e28b90ff-7921-4b54-b064-7c52fb70373c · outbound

This paper cites Internal migration: detailed estimates by origin and destination local authorities, age and sex, 2018.

Hermitian matrices for clustering directed graphs: insights and applications Internal migration: detailed estimates by origin and destination local authorities, age and sex, 2018

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.975239Z

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=pdf_text observed=2026-08-14T15:03:47.583748Z digest=sha256:ad7b26a2a3311818c02bea68939063f92f3e218223c531d1bbea2d5230cddd7b

Observation 7655174a-989b-4dfd-8f7f-1ba7ac0024e0 · outbound

This paper cites Gates and Yong-Yeol Ahn.

Hermitian matrices for clustering directed graphs: insights and applications Gates and Yong-Yeol Ahn

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.957448Z

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=pdf_text observed=2026-08-14T15:03:47.588221Z digest=sha256:e07d392dfadb594f723cd29b7068359ae8c201ded2ab7c3f3f1320552365d707

Observation 763b9880-135d-4219-8c69-4aff1f5ef108 · outbound

This paper cites Hermitian adjacency matrix of digraphs and mixed graphs.

Hermitian matrices for clustering directed graphs: insights and applications Hermitian adjacency matrix of digraphs and mixed graphs

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.942057Z

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=pdf_text observed=2026-08-14T15:03:47.592837Z digest=sha256:39538e39692017463cf81a204715dd07e79087885a21b7baf39c8564bcc86469

Observation b0dec8db-cb44-4180-b9a6-22132cefffad · outbound

This paper cites Stochasticblockmodels: first steps.Social Networks, 5(2):109–137, 1983.

Hermitian matrices for clustering directed graphs: insights and applications Stochasticblockmodels: first steps.Social Networks, 5(2):109–137, 1983

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.927187Z

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=pdf_text observed=2026-08-14T15:03:47.597415Z digest=sha256:d04501c5f2319c52128b43b0676239f2330f49aa25c921a6adbb230fcc4f24f6

Observation 6cb6f74d-5306-4532-80aa-5effd82ef562 · outbound

This paper cites A simple linear time (1+ε)-approximation algorithm fork-means clustering in any dimensions.

Hermitian matrices for clustering directed graphs: insights and applications A simple linear time (1+ε)-approximation algorithm fork-means clustering in any dimensions

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.912657Z

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=pdf_text observed=2026-08-14T15:03:47.602831Z digest=sha256:e8863f33a5ab79647bcf76aae7a343978ae5a93127b5b3e6d708a9f11474c6d7

Observation f02960bd-4726-40b3-9be4-721645de3a37 · outbound

This paper cites Lee, Shayan Oveis Gharan, and Luca Trevisan.

Hermitian matrices for clustering directed graphs: insights and applications Lee, Shayan Oveis Gharan, and Luca Trevisan

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.897291Z

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=pdf_text observed=2026-08-14T15:03:47.607737Z digest=sha256:efcfc942866d494e4b0c2e6c20396f8ddffa4bc436e766aaf037d05a2e1f31fe

Observation fa263be9-4f6e-4941-b9d1-da2b6d003b98 · outbound

This paper cites Consistency of spectral clustering in stochastic block models.

Hermitian matrices for clustering directed graphs: insights and applications Consistency of spectral clustering in stochastic block models

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T15:03:47.612533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:03:47.612533Z digest=sha256:3b0a4daedeeafbf3089cb4510df626ca894709ebb52f913cd097c084d3dd8912

Observation d163ea06-c80c-41f1-819e-b85f65ca9657 · outbound

This paper cites SNAP Datasets: Stanford large network dataset collection.

Hermitian matrices for clustering directed graphs: insights and applications SNAP Datasets: Stanford large network dataset collection

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T15:03:47.617106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:03:47.617106Z digest=sha256:dc6cc2d952116eb0aa7bc92c946ba45ff3c1b821b0b2d81e0aee5c94051d95c3

Observation 978876d7-4522-4194-bd63-d142fb8cca86 · outbound

This paper cites Malliaros and Michalis Vazirgiannis.

Hermitian matrices for clustering directed graphs: insights and applications Malliaros and Michalis Vazirgiannis

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T15:03:47.622278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:03:47.622278Z digest=sha256:e641e28d090166f1481f9ba365f8d602d1c53d51c353f6e7439c62b711fce258

Observation 9a64224a-7220-4aef-8e08-1ff8bea2a554 · outbound

This paper cites Iterative ranking from pair-wise comparisons.

Hermitian matrices for clustering directed graphs: insights and applications Iterative ranking from pair-wise comparisons

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.849368Z

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=pdf_text observed=2026-08-14T15:03:47.626488Z digest=sha256:668baa960ae94ad1115579b38899148bc8aad6f1b4815263b9b544ca87bf6438

Observation f5ba3b3e-a5b9-4843-9987-5a288066e5dd · outbound

This paper cites an unresolved cited work.

Hermitian matrices for clustering directed graphs: insights and applications Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:03:47.833359Z

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=pdf_text observed=2026-08-14T15:03:47.630452Z digest=sha256:537d0f786042f0943348d21f6960d12fe329610c61bec695d6a6ec9676fcf3fb

Observation ba4ac71e-7e8f-4ab3-82c7-d5f6719e992a · outbound

This paper cites an unresolved cited work.

Hermitian matrices for clustering directed graphs: insights and applications Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:03:47.817406Z

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=pdf_text observed=2026-08-14T15:03:47.634731Z digest=sha256:2248f3d363c2910bb492bcf720ecf7273fe953ce6d062d0ac36699085f6e5ab2

Observation 34c1ab46-3ecf-4f69-954c-2bf524e65bfc · outbound

This paper cites an unresolved cited work.

Hermitian matrices for clustering directed graphs: insights and applications Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:03:47.801203Z

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=pdf_text observed=2026-08-14T15:03:47.639443Z digest=sha256:6e855557122585b9ee12b6f473c1d11384daa97bc55611cc549c8e6a34e6cc02

Observation 0f9fe61c-80ad-4882-84ca-290ca48382ca · outbound

This paper cites Co-clustering directed graphs to discover asymmetries and directional communities.Proceedings of the National Academy of Sciences, 113(45):12679– 12684, 2016.

Hermitian matrices for clustering directed graphs: insights and applications Co-clustering directed graphs to discover asymmetries and directional communities.Proceedings of the National Academy of Sciences, 113(45):12679– 12684, 2016

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.784610Z

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=pdf_text observed=2026-08-14T15:03:47.644394Z digest=sha256:e01ac4f0bd6a4c76e89b8a2cb16592da7e866bdc50a352092823fa57c42c2c23

Observation 0fc610eb-6b0e-4ca9-82b6-abd84365171d · outbound

This paper cites Symmetrizations for clustering directed graphs.

Hermitian matrices for clustering directed graphs: insights and applications Symmetrizations for clustering directed graphs

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.768296Z

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=pdf_text observed=2026-08-14T15:03:47.649105Z digest=sha256:95d65cc704ff8cf3bcb0eb5173285d22ab59ac374d7bd4b6dd17e0a4faecf102

Observation d8cc5725-5d29-49e4-aa4a-071220bed404 · outbound

This paper cites Shi and J.

Hermitian matrices for clustering directed graphs: insights and applications Shi and J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.753873Z

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=pdf_text observed=2026-08-14T15:03:47.653847Z digest=sha256:80990de7b47b288ecdcb6464848df01e4d95e3242b250a016fc57fe596077814

Observation 18d46fde-8b78-4efe-b3bf-13fc870f7aaf · outbound

This paper cites Singer and H.

Hermitian matrices for clustering directed graphs: insights and applications Singer and H

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.739086Z

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=pdf_text observed=2026-08-14T15:03:47.659065Z digest=sha256:70440028948225c9cde050ab8fabdb8038264c2461e27dd34a31f19228cf66b8

Observation a808d190-cb6d-40cc-9bbd-8b36767877ed · outbound

This paper cites A tutorial on spectral clustering.Statistics and Computing, 17(4):395– 416, 2007.

Hermitian matrices for clustering directed graphs: insights and applications A tutorial on spectral clustering.Statistics and Computing, 17(4):395– 416, 2007

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.723921Z

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=pdf_text observed=2026-08-14T15:03:47.663426Z digest=sha256:e946185d3741713a835699d6452010d3e09677aa8f5d08f99ff696555bb9ff8a

Observation 1c91face-3379-4a6b-b343-0ea5f9009e02 · outbound

This paper cites White, E.

Hermitian matrices for clustering directed graphs: insights and applications White, E

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:03:47.706501Z

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=pdf_text observed=2026-08-14T15:03:47.668009Z digest=sha256:2ebc3bb7d298e153d9c0ddd7a2e651d9eb20bc6ae5e6a6b7e6f56b80571f7d3c

Pith citing papers

No inbound Pith citation observations are available.