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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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.846356Z digest=sha256:b6aac23005330f21a9d769f8d2eb5ffb629c5755e59cef348a46a72930e48809

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.851978Z digest=sha256:cfd76f6a0535d839ecd1a5debed94be50562454f920c2566c5ec9ea6f8dbb1a0

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.868871Z digest=sha256:1ae0b75ac71db534d7581ea43742c5970eedcad5826d1d26ef2f979817129f8e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.876412Z digest=sha256:511833a7e02d7ecba4660180a86e08ec34bbb75968448d08d8d39779cb8866c2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.857866Z digest=sha256:53f5aed74d30446a683bb8ba28e997f2ecdf8c5443d5a99da633020b3d0440a0

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.863460Z digest=sha256:3e79470005bed4ab9a4db84f980401c8d98e009b4a69dadc8bdfa081760231f3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.882710Z digest=sha256:206731eae87cea45d4a7e75b5274628c1639cdb34600b4756f4574eb22d9be38

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.888871Z digest=sha256:53f5d5b9bc8b86827a5a8313be68ca2e93d694c301d60d8bd0d5cb5b88026737

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.893977Z digest=sha256:3dde371402dd949f45016d07efb6c82a5c1918f8c238bd354ea51b358edd75c4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.833780Z digest=sha256:cba34dcdf09cd574cfb6c96b7355144f62b8380475108d638eca2984c7c3f7e5

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.899701Z digest=sha256:ef570df8b6edef44f76629ee6719290b07b650fa5c9cb40b33e0e26c7eeab92a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.904886Z digest=sha256:934bfe71ca1a9122c1e5b985639d1f44d7903a702175a88717db8ccd9de58f6c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.909737Z digest=sha256:cf217dc258f1e931bd1737ddad088dc9636f2da838452a876d98b626ddc67e43

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.914720Z digest=sha256:3aec9e089eb5f417a6658e8197c355faca69979b793860b87a335ddbbde1a8f7

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.920634Z digest=sha256:9a61081443cb7296a926a3a3c20e069b40b1d55dfaca805692d18d0daf07c0cd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.925547Z digest=sha256:25ec5bb78b180b3c9ef62f60f07eb37a355a92884baa7fe0e8480c1b8100feea

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.931065Z digest=sha256:65c69302056e53a96bb451663b7c442bf5ff72060f706c799cff4f062c60f9ed

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.935828Z digest=sha256:f26aeb77a4e5a221be24e707b54dd6b7a38caa8367997970495b4a5fbc9d7952

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.942766Z digest=sha256:db4a1bfa402b4bcfbf68d4a4ce28b8799692ad7b96b717599554ec99d82c9dd3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.840498Z digest=sha256:36e6e0dd6ad2ddee833887ed32c9fa6d708df77584a71c2eedca30ab674c22e4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.948471Z digest=sha256:cd0657146d0e58a680883681416a905aeeab3ef018cd653b2003c9e1995c2052

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.953953Z digest=sha256:7069a2ab4817faaed7a90a59a0bd270f85f7de90d9cf09e0d19970adb24a7aa1

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.959034Z digest=sha256:a811ebf86900bacca75246b239d4fe319c3c8d2e35626f21e894e804f622bc6f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.965733Z digest=sha256:b32d4e19dda48cce2f6defc60f33e664e6899bd48f8544e6745d8bd0e49f7ed1

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.970747Z digest=sha256:cddc5294fb0c406e6fbbe2aab93b2e541c01835e407d2455d82873d15bff0b94

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.976774Z digest=sha256:4a225d990160e0f5557531b89c17efd4f4982944c3afdfd60a8c48f8695e1f41

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.983416Z digest=sha256:b86035a9e99e6bb3ecdcad4c65c562a5e31a5ec1497c2fa1511b3275913433d8

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.988496Z digest=sha256:859bfbeed6c635d5ff1663aaa9c37bc227d013f3d325253fa6db2bc1820d55e3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:36.994573Z digest=sha256:f744a7ea5fcf35258dbb09abc98b24e14e46b84fc8ba0fa7784fa37aea2b1b77

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:59:37.000656Z digest=sha256:8f57b3848b34b16037297e8efca21c89c515ef23b9f383025f1163102c70e235

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T21:45:43.591276Z digest=sha256:f8960349f5d8421af911d69a10d710d041e727a48d6d68f206b165de3d41600e