Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T15:39:50.498090Z
Paper Citation Record · LEDGER
A Quotient Homology Theory of Representation in Neural Networks
As of 10 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2502.01360.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-20T17:20:29.589792Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
53 of 53 outbound references displayed
- verified exact5
- verified fuzzy11
- unresolved37
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
Observation 09558e06-fe77-42a9-a28f-9c7c68b57c98 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.414374Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 229d499b-7c8d-41cd-8373-cf900cdab84b · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.399496Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation a6a72682-3917-4a4c-8e67-0ba92c5b30ad · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.384518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e30a8bff-66fb-4e65-b7f4-f84d5556d136 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.369508Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1d6dbf69-c109-46d0-b991-e8c89afbff3c · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.355545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1d15e438-5a3d-4438-b579-36d30c0ebd3d · outbound
This paper cites A rank decomposition for the topological classification of neural representations.
A Quotient Homology Theory of Representation in Neural Networks A rank decomposition for the topological classification of neural representations
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T15:39:50.724445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 00c3b544-2904-474a-9f9c-0781a75dd323 · outbound
This paper cites J., and Simsekli, U.
A Quotient Homology Theory of Representation in Neural Networks J., and Simsekli, U
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T15:39:50.267034Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70b771d8-c356-449c-ae72-b0e3b66b6504 · outbound
This paper cites and Brun, M.
A Quotient Homology Theory of Representation in Neural Networks and Brun, M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:51.330636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 5bcd1bed-9bdc-42a0-97db-1035ae93f955 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.315717Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9f124e88-41e0-4b9e-b681-9719532af672 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.300810Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 47bfc81a-a491-43cd-8d64-be8b04e0b02e · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.285289Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c74a65c1-eede-4453-88d6-1d632ddf07f3 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.270590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 915234f8-b569-44bb-8f25-80d10b10d7ef · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.255682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1d795ac0-98d9-411e-a3cf-d83fcd43ecd9 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.238620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation a629f621-09e8-4c0a-8add-e8b81fc149d6 · outbound
This paper cites Deep ReLU Networks Have Surprisingly Simple Polytopes.
A Quotient Homology Theory of Representation in Neural Networks Deep ReLU Networks Have Surprisingly Simple Polytopes
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T15:39:50.309819Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16012c02-cb53-4eee-9388-f8c59ed39d7d · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.221557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation dc2206a6-08c0-4efd-81d6-1a5c85274107 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.205435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 61c8b981-947a-4b45-8ae7-c82109380d60 · outbound
This paper cites On Characterizing the Capacity of Neural Networks using Algebraic Topology.
A Quotient Homology Theory of Representation in Neural Networks On Characterizing the Capacity of Neural Networks using Algebraic Topology
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T15:39:50.325085Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc40d077-7f07-4784-839e-7e57e2a0b233 · outbound
This paper cites Persistent Homology Captures the Generalization of Neural Networks Without A Validation Set.
A Quotient Homology Theory of Representation in Neural Networks Persistent Homology Captures the Generalization of Neural Networks Without A Validation Set
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T15:39:50.668325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c17c5ad7-eb96-4ffe-a565-3afd4e26569b · outbound
This paper cites and Rolnick, D.
A Quotient Homology Theory of Representation in Neural Networks and Rolnick, D
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:51.189848Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9a644960-35b8-42f3-925d-e929049fda80 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.174021Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation a7f331ad-ad42-411d-9282-a32429cdc292 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.157467Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2b6ef33d-99c0-4a7a-9d0e-080a8b401926 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.142711Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e62a500d-f540-477b-9203-28a4d4e3de59 · outbound
This paper cites and Hall, J.
A Quotient Homology Theory of Representation in Neural Networks and Hall, J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:51.125392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 208ae8fa-fe7e-447e-b767-6d8fa51f5764 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.110088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d75ed546-5fc4-4f0b-900a-ad71cbb250ea · outbound
This paper cites Representation of Polytopes as Polynomial Zonotopes.
A Quotient Homology Theory of Representation in Neural Networks Representation of Polytopes as Polynomial Zonotopes
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T15:39:50.645839Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation fb7d37eb-a791-47ba-a1cc-e30dfac0a9d7 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.094803Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 05ba3359-1eb9-4915-8d6a-476495784dc5 · outbound
This paper cites M., Peterson, C., and Kirby, M.
A Quotient Homology Theory of Representation in Neural Networks M., Peterson, C., and Kirby, M
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:51.078498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2a667f61-647a-4680-80bb-8a2ed3fc7049 · outbound
This paper cites Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural Networks.
A Quotient Homology Theory of Representation in Neural Networks Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural Networks
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T15:39:50.379475Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation acdee7c3-5c98-4c0e-9f97-a81416f6f170 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.062232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8b3c63a2-de15-4294-9191-8e3fb5776bbf · outbound
This paper cites F., Pascanu, R., Cho, K., and Bengio, Y.
A Quotient Homology Theory of Representation in Neural Networks F., Pascanu, R., Cho, K., and Bengio, Y
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:51.047156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0cea910c-1b75-4abe-b570-91ec3af87704 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.029750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0cb5f7a4-088d-452d-a73a-2aacf6186b36 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:51.013435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3b48a067-0846-4cc8-bdc0-db92bcbf6212 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:50.996433Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4b544419-48b0-4243-b6cd-1a6c6ba557bc · outbound
This paper cites M., Carlsson, G.
A Quotient Homology Theory of Representation in Neural Networks M., Carlsson, G
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:50.978676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7790271d-dc46-4a36-9a0d-c27eba0be6bb · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:50.962896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 961769cc-bb88-4019-ad76-0430a9859812 · outbound
This paper cites On the number of response regions of deep feed forward networks with piece-wise linear activations.
A Quotient Homology Theory of Representation in Neural Networks On the number of response regions of deep feed forward networks with piece-wise linear activations
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T15:39:50.419345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation adaef84b-a328-474d-b407-f26beac419db · outbound
This paper cites and Leit \ a o, A.
A Quotient Homology Theory of Representation in Neural Networks and Leit \ a o, A
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:50.947244Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 954d35db-0c43-4601-b8bb-6e02afd09fb1 · outbound
This paper cites T., Goldberg, K., and Kragic, D.
A Quotient Homology Theory of Representation in Neural Networks T., Goldberg, K., and Kragic, D
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:50.931571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8e8d21c1-0e82-4645-85fe-b1f797a6864c · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:50.916105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1c9d6310-ea03-42b4-bbf5-c61ac78bb065 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T15:39:50.438891Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6cff8dc6-d361-4df2-9362-21b098b5b1ba · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:50.889073Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 77f6d260-6ab2-4d96-8b70-e157a5984b1a · outbound
This paper cites Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology.
A Quotient Homology Theory of Representation in Neural Networks Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T15:39:50.447896Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3354074d-d6fe-4ec3-8dab-3870da0adf74 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 44
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:50.870416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4fb99450-e9d0-4478-a515-8865523ebffe · outbound
This paper cites M-Representation of Polytopes.
A Quotient Homology Theory of Representation in Neural Networks M-Representation of Polytopes
Reference 45
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T15:39:50.571194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b2795a02-9e84-4a58-8502-aef1939414b7 · outbound
This paper cites E., et al.
A Quotient Homology Theory of Representation in Neural Networks E., et al
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:50.854265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d6bf981d-723b-4648-a07b-985a39034d3d · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:50.838435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2f23f9ad-d5c2-4043-a320-ccae31f48db3 · outbound
This paper cites F., and Otter, N.
A Quotient Homology Theory of Representation in Neural Networks F., and Otter, N
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:50.814338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 56190e6e-17e6-42dd-8e5c-a8fd0c41cfa7 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 49
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:50.796642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f6743410-7c83-4c76-9842-8b3613e0f156 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 50
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:50.778920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 42f4dbec-a80a-4b83-a996-fc7636a997e0 · outbound
This paper cites an unresolved cited work.
A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work
Reference 51
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:39:50.760178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f7f603bd-1630-4342-b6e4-5f393e080e8e · outbound
This paper cites Empirical Studies on the Properties of Linear Regions in Deep Neural Networks.
A Quotient Homology Theory of Representation in Neural Networks Empirical Studies on the Properties of Linear Regions in Deep Neural Networks
Reference 52
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T15:39:50.548373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d494d23c-e47e-4b06-9a91-684b77c60c2a · outbound
This paper cites and Carlsson, G.
A Quotient Homology Theory of Representation in Neural Networks and Carlsson, G
Reference 53
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:39:50.742465Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
Observation fb3ed3ea-0a94-46f9-8f60-2bdd7f4c1015 · inbound
Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.
Copositive Matrices with Ordered Off-Diagonal Entries A Quotient Homology Theory of Representation in Neural Networks
Reference 291
- Resolution
- verified exact
- arxiv_id, observed 2026-05-29T03:04:33.878554Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.