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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=sha256:77e7d83088caf95e7b6b117d94e62b05b9790bd46a5b19a0757f9d9653140162

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:e21acb3ef237a07e76614ccd588f43630dd91f8e7edc2b0756ebbbf5b29de82f

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=sha256:6a3b38a5729b7525673309d13105b5c0153f067f09f1f751febd0200bb92a6d3

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=sha256:9c6e9b08a4c3790bd09b15df34fd0890244a35b9133c26ce819f1e4654f377c7

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:ea6b214f1ac5f0b2ac1af047493973f3223c6af795f889aa2b70412cce0dcded

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=sha256:2e2a12df6394ac8ca810a0dbc6ca3911c925b9792cc1de4c0cf3f9046ceda2a1

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=sha256:7b02a5f2f547b6a08d66ab58f700f27a629a7fc5aedb104709b9642bd8a382d6

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=sha256:4663cf9b41acd098828860a78ba66fcc3b00fce10960a13ca7b61e986d9b1c28

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=sha256:47e6039e3cdb59dab058e9da158a0ec0cca884ef536935b1f52222d1650ee77a

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=sha256:6aa2ae2e8e8f9d5a33ed502a294cbdbe9ad3e01184beacda19b91ea9f179d176

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:b788124ddd558b721632359e3e45d7aad1038494a023683ca12535d4b329bc49

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=sha256:51ecf85067b18c8637b893c6f7524eb80bbabf4341591dce0f23b0f15ceeaa23

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=sha256:335dab09b666e11078d9544bc1b05bdbe55d80ef885fe9d85e5627af282a45a9

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=sha256:5cac3838c83970b74d74b2a03f5df0d613e689f60b5e0ffe83d5421283a17d2e

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=sha256:7ec0269f4e48de057d821b7747d3956908ee75adb9428d9747549a854c1f9aed

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=sha256:07d05a01267cca56cba3b22aa3f3eebb4f15c5ed782c0f1600ec638b6ce2bfe0

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=sha256:9400900441c480c6375013cacddefc675245cc1d17c5d61c51a21bbce053a495

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=sha256:5543656a2c530ea51d40dab41643a8f9443270568a8c0ffb43f114919a232786

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:f607468530106690744f0591eeea3c9a1f5f38761b0b2e04a552371754ffd970

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:c1a484b162d12bc2b5b623668e4ce0f755e6e24e7f74cbc9b82c7e51ad57e477

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:cd20e3c4759139489855074e0adf0ac6b1cf8c3090008219f38f884ce9fdc6e6

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=sha256:375b18b61deafffecb448a2925466dc05e57f360fd539c23ca462a4078cc1148

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=sha256:82eb2bff3d907ee21fb9ec7f8d67eed7e66ab77966421b3f78949547bd009f60

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:f8699592b29df7cc553dcbf7fcc7ad288f2b87fe29b27ee49e1c392da197b513

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:a1a10407d40febd7086fd92935bdb3c4042ce8cb4ef6b1337e40d00ff5772883

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=sha256:91a0642e3a6865bd11f2b2ca08b6031b35e7b728b8cec2439812f9192cd975da

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:a803c348e577c847cf28c1990e3226b5c3db09e0d4c86373965440152ece55ac

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:e1155ad220c6db836eae3eb18dbf0cc220e43ed0d994483db8ad0537aa348ae7

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=sha256:983533172f03adbb407b9372ffba745b7dc8c0b07e20b82c11db61330588976c

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=sha256:0f7d01c9fcb286d51180a83b5c32d36a3fa7bde41090b56e1f7186422d09e7ad

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=sha256:347389be27f9be0426568f8084c4f07576ad67ec721c8af5a8c491346eeb9efe