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Paper Citation Record · LEDGER

Latent Space Modelling of Hypergraph Data

As of 15 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:1909.00472.

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

pith.paper-citation-record.v1
1909.00472 v3

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:59:37.000656Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:45:43.591276Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-10T21:45:43.672544Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved18
  • parse uncertain2
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0210517f-1a7f-4730-8275-c31fc40de724 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.635057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.846356Z digest=sha256:0fbdd6734d7f89bbc2db10f1f2e30b0470f6082b1b23c95d2fb52b0e3254c846

Observation f57a96b0-dd1c-4f39-903f-5e0623db4283 · outbound

This paper cites A similar procedure can be used for arbitrary k.

Latent Space Modelling of Hypergraph Data A similar procedure can be used for arbitrary k

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.618426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.851978Z digest=sha256:196cf08d2857d8e22600b82a624f7cdb90fc6ae86afdcd46d4548d87d23a9d1a

Observation 3c75c60a-a238-4de9-b3e1-60ee74e6e80b · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.569759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.868871Z digest=sha256:33448e8bf09c942cf86cd41282579bafee9746d28b650e7e89d9efeea46ac4bb

Observation d3d84f2e-0c1d-435d-b897-a3c38a72f64f · outbound

This paper cites The radii r depend on the scale of U, and so they are initialised in terms of U0.

Latent Space Modelling of Hypergraph Data The radii r depend on the scale of U, and so they are initialised in terms of U0

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.553205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.876412Z digest=sha256:fc78d60b1e784948c6edbd7efb7ba6fbcc27fb9259e8e82888bbd8429e408e2f

Observation 5050e8ff-5988-48f6-a389-7824df7c14f0 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.601953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.857866Z digest=sha256:d02d3aedc085e912b5eff190416d0e2989057aeabbd5e374f5843d59887b63e7

Observation 742a07be-d96b-404c-b523-4b6e337809d5 · outbound

This paper cites For i =j, let D(i,j) = 0.

Latent Space Modelling of Hypergraph Data For i =j, let D(i,j) = 0

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.586139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.863460Z digest=sha256:932cbab69fae4a225d973ee977a7db6fd3ddafd53872c861c0d781525a2b403f

Observation 5180c6dc-cdf8-4d50-856a-ddb72c1591cc · outbound

This paper cites Let n = 0.

Latent Space Modelling of Hypergraph Data Let n = 0

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.536196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.882710Z digest=sha256:b5b19f5b61954e71211e090aa358254d915864b946c28601939d542b134eb8e2

Observation 5a181edd-d11a-448e-8854-87c08c0aff1d · outbound

This paper cites -Sample u∗ i∼N (µ∗, Σ∗) for i = 1, 2,...,N.

Latent Space Modelling of Hypergraph Data -Sample u∗ i∼N (µ∗, Σ∗) for i = 1, 2,...,N

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.519049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.888871Z digest=sha256:af15d469d6b243a2a9efeebecdfaa4839ab5f2104478cc088545a302076a1e02

Observation 4a14140d-f4cb-4cfa-97a6-828f8ac82d35 · outbound

This paper cites To initialise the parameters µ and Σ we use an ABC scheme (see Marin et al.

Latent Space Modelling of Hypergraph Data To initialise the parameters µ and Σ we use an ABC scheme (see Marin et al

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.502771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.893977Z digest=sha256:a288816d3ea323b858a5b7435f832e34c94e8d93d3bab91f8e74613e069c3159

Observation 6fc0ba55-3dff-4664-b452-898bfcaf4267 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 12

Resolution
parse uncertain
raw_fallback, observed 2026-08-14T05:59:37.669405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.833780Z digest=sha256:f8515f49261586ccd28d0103fbd98e6f944ffa0b414f5db70862a70155861278

Observation 6b5ea3b9-5e8f-478f-ae15-8f1f4ed157c1 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.485269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.899701Z digest=sha256:a47e452ea718dfd0713e5e3af4a1a5b8f39a23347b4761f695e7f34c753cb2f9

Observation 4d3378ed-6e19-4373-a9a9-79694335b91d · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.469329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.904886Z digest=sha256:8721ff0f646508d8ee5b4ea0bb3228a626288c2ce2c4a1aea04f93799c997776

Observation 40c90c78-a549-42e1-a2e3-abeda0aebf76 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.451985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.909737Z digest=sha256:148ce021c7ec254520c84afeb004638dd3d905711c801cfb12856e885b65b49a

Observation 4832dd31-b741-4c3f-82ba-4ee6c13c04cd · outbound

This paper cites E Practicalities To implement the MCMC scheme given in Algorithm 3 there are a number of practical con- siderations we must address.

Latent Space Modelling of Hypergraph Data E Practicalities To implement the MCMC scheme given in Algorithm 3 there are a number of practical con- siderations we must address

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.434890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.914720Z digest=sha256:d8518aac67fc7b00ca47ffef8aa3fd2a697326d8e4df50bdb4e14b7ba649c665

Observation 8c349002-b321-4af7-9c15-9242c619d842 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.416380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.920634Z digest=sha256:b8f4d794e0fdfb7399766c9f2349ea6a4f8ff16ca5103ce9df7febf00538127f

Observation bfd05636-4ae4-4133-8510-f6aaee8bf5a0 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.397026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.925547Z digest=sha256:87636925e5910a28309cc9abbd4d8b306e2c2fd1fe0f3ca202e00ac043094f82

Observation 1bca581f-7253-4308-8f7b-4c9821088a79 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 19

Resolution
parse uncertain
raw_fallback, observed 2026-08-14T05:59:37.380052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.931065Z digest=sha256:c94e46827ab867ccecdea19695c257d58dbd58caff43c13e3d9797b407da8ccb

Observation 44995b99-b8d2-4bc2-a1b8-293e2d8f16e5 · outbound

This paper cites (2008), and for efficient implementation of the ˇCech complex we rely on the GUDHI C++ library (The GUDHI Project (2015)).

Latent Space Modelling of Hypergraph Data (2008), and for efficient implementation of the ˇCech complex we rely on the GUDHI C++ library (The GUDHI Project (2015))

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.364178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.935828Z digest=sha256:f0f6a6ec0eda2fbb1475dc4a6c1ed92a5aff67805ef8adf9a234695dd3875886

Observation 8d660ac5-90f2-4690-a9e4-d0f35d34f524 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.226775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.942766Z digest=sha256:9d3e440e20331beb01b03ae02b6c4c3ced49260ea645dad99184b4885bf71bf0

Observation ed23ca4d-911a-468a-9b18-df7c8b3d8c1d · outbound

This paper cites LetUB denote the Bookstein coordinates andU denote the untransformed coordinates.

Latent Space Modelling of Hypergraph Data LetUB denote the Bookstein coordinates andU denote the untransformed coordinates

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.652336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.840498Z digest=sha256:c664142566378a65ff2a3718ea80ad4d8806d93f3e932296bc78704cead35718

Observation 4faaa0d8-37f6-4a31-aabf-50e699760389 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.211487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.948471Z digest=sha256:ea0cccca8d40f1799b93bb4bc08010a618c590a7f3230c353fb8201139c4670b

Observation e2257bce-1a85-463c-8055-eb9460ff9594 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.195064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.953953Z digest=sha256:c6af66d67b4f23ee78fe1b3fcacd0fdc70af379937b6fc6ff68578921b664545

Observation e3f53d68-cc5c-41bc-8836-c5bec54793af · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.177575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.959034Z digest=sha256:b25f4658888167a2c9ed903e1b437e5f144fbed05a8c4a473f22e15a684b9d99

Observation 140cee62-c791-484a-a84b-7fa679504fa9 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.159787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.965733Z digest=sha256:748ffd7d151619c928110b8e026f4597f091be4550ca8386d7d780e1330b6bc2

Observation e21ae516-b7bb-41b9-ad0e-55d1991caf26 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.139537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.970747Z digest=sha256:11dbbba38123b6b94d1e07427ebc15fa24f8d421140fa8b729f14073a4b9fade

Observation fc19a4fa-766e-4934-aa9b-3a5e31f093b9 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.119591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.976774Z digest=sha256:6199e43c89e0f40a726e76eb09ec1e1234920159c58d57cb493ca4c5e980df6d

Observation 9840b652-f995-424e-a680-338bdea21fb8 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.103575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.983416Z digest=sha256:bddfe2af7a13222aba71acc995e80cebf6553779bee0f3a56a0902e96d9077ce

Observation 7cbd53a3-0e2f-428f-b61d-239c3c11136c · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.087465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.988496Z digest=sha256:aa3172ed6cda8f94b5b3335e1f501d7df2d03b976aa8b243595ea99c0e70f495

Observation 444082b5-89cf-4003-ac5b-79825cc7a300 · outbound

This paper cites an unresolved cited work.

Latent Space Modelling of Hypergraph Data Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:59:37.070252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:36.994573Z digest=sha256:391e51ecaadfad6a7bae34fc694c995980bc079d3323d6e2ad07842133133d50

Observation fea7fa3b-c700-4e11-944e-acd91a7fde79 · outbound

This paper cites The case numbers correspond to the labels in Figures 7a, 7b and 7c.

Latent Space Modelling of Hypergraph Data The case numbers correspond to the labels in Figures 7a, 7b and 7c

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:59:37.049960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:59:37.000656Z digest=sha256:bae1f68150a50c6301ae69b3d8392fe129326a69ee60f4bb2a7c1e19c9c1d518

Pith citing papers

Observation 72d5a5ee-0018-4e6a-8e64-7409f1ae7d18 · inbound

Modeling Hypergraphs with Diversity and Heterogeneous Popularity cites this paper.

Modeling Hypergraphs with Diversity and Heterogeneous Popularity Latent Space Modelling of Hypergraph Data

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:45:43.676183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-10T21:45:43.591276Z digest=sha256:0dd68de093aa64226a1b884a53072fc5afe1f150ceb42a85a7d9750b4433585b