Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:15:06.260547Z
Paper Citation Record · LEDGER
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts
As of 9 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 3 inbound Pith citation observations for arXiv:2506.22343.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-03T21:55:33.687210Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T21:58:58.342979Z
Reference resolution
48 of 48 outbound references displayed
- verified exact1
- verified fuzzy19
- unresolved28
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6a76a23e-8ccf-4d35-9044-3939806ad565 · outbound
This paper cites Aaronson.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Aaronson
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:12.083007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 24f68001-7d78-45ae-ace7-e7a49e9c5845 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:11.922543Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6f96d272-40be-4bae-99e4-760cb4dac358 · outbound
This paper cites On the Opportunities and Risks of Foundation Models.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts On the Opportunities and Risks of Foundation Models
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:02.882803Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19897a03-f3ad-4bc9-8a37-0dd6cf82011f · outbound
This paper cites Brown, B.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Brown, B
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:11.756010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2c9c8560-658a-45cb-ba75-af0e4e6ead44 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:11.608700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 16ab0b5f-3d4f-4f1e-87e4-e350db3b4e11 · outbound
This paper cites Cohan, F.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Cohan, F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:11.429081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5656937d-883b-42bd-a7ed-a8fbd480a183 · outbound
This paper cites Under the Surface: Tracking the Artifactuality of LLM-Generated Data.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Under the Surface: Tracking the Artifactuality of LLM-Generated Data
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:03.169756Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13072b1a-af73-4d0c-b8a7-4702f5915f6f · outbound
This paper cites Dathathri, A.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Dathathri, A
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:11.276219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c37e4ff6-8b78-4340-beda-d50e9989541d · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:11.090929Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2972827a-4982-4da9-a063-134b7b00cd2b · outbound
This paper cites Donoho and J.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Donoho and J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:10.955911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e9e61cff-c0aa-491f-84a8-3036689b98b7 · outbound
This paper cites The Llama 3 Herd of Models.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts The Llama 3 Herd of Models
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:03.450336Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2416642-7c70-4318-9735-8ce25696bd32 · outbound
This paper cites Dugan, D.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Dugan, D
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:10.810599Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1924ca3e-9bfb-4f9d-8d22-ffa7aef69c15 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:10.657197Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a42cc0ec-72ad-4d6b-8461-2e1c7871a544 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:10.524344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c4743e49-85cc-41d8-b050-514f746092fa · outbound
This paper cites Kirchenbauer, J.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Kirchenbauer, J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:10.383382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 37c7002e-f2f4-4d23-9d9c-1adec0796975 · outbound
This paper cites Kirchenbauer, J.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Kirchenbauer, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:10.220922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f0e1e2e7-68d4-48bf-9abf-bac8102afd69 · outbound
This paper cites Kuditipudi, J.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Kuditipudi, J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:10.003787Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9dbc5f79-7053-41b4-8e8e-d24497c872df · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:09.742084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b6460687-b175-436e-b6e1-4fddee891072 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:09.563040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f0751254-3b24-4f04-83a9-df8824f460c0 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:09.388160Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d7491183-8dff-4b7c-bf04-182b903bfd16 · outbound
This paper cites Liang, Z.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Liang, Z
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:09.221742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 56f5316d-25ca-49d5-b0f6-30cf19b46db0 · outbound
This paper cites Milano, J.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Milano, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:09.052357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c44107d3-66ac-4d1d-a799-9bcd03a84e02 · outbound
This paper cites ChatGPT: Optimizing language models for dialogue.http://web.archive.org/web/ 20230109000707/https://openai.com/blog/chatgpt/, Jan 2023.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts ChatGPT: Optimizing language models for dialogue.http://web.archive.org/web/ 20230109000707/https://openai.com/blog/chatgpt/, Jan 2023
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:08.883603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f1e74f5c-4983-4ebd-8c14-fcfe7461223c · outbound
This paper cites Mark My Words: Analyzing and Evaluating Language Model Watermarks.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Mark My Words: Analyzing and Evaluating Language Model Watermarks
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:04.532162Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3154959-cbaa-406a-ab62-ff201575d905 · outbound
This paper cites Radford, J.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Radford, J
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:04.585642Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04a310d4-e7cb-4dbe-aa0c-414123e8f13d · outbound
This paper cites Radford, J.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Radford, J
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:04.648720Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65abf6ee-f455-411e-ba2f-eef3105430e3 · outbound
This paper cites Raffel, N.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Raffel, N
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:08.674921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation dbf439ea-48c6-4185-ba0a-d56b3a0d2603 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:08.537228Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c842f18b-488a-4763-b638-83ff923ad6a2 · outbound
This paper cites Starbird.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Starbird
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:08.388074Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2ad960ca-489d-4008-a3ed-f87f52489eb0 · outbound
This paper cites Thomas and A.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Thomas and A
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:08.241763Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7f293ceb-2336-480a-a19f-32f97663a8c4 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:05.137592Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9024cffe-f026-4e51-9cc9-e8ca8c7d1f60 · outbound
This paper cites Vaswani, N.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Vaswani, N
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:05.207614Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 894d3a56-a9a2-40a8-8048-445b4ad7fddb · outbound
This paper cites Virtanen, R.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Virtanen, R
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:08.047711Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e7c7955c-5a08-4c7a-8b92-a1c2dd34f988 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:07.837322Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7971e2e9-3ffd-4900-8e58-3c6c7103c166 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:07.652036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2cc5b198-57ae-4389-aa71-b8edc14f743b · outbound
This paper cites A Resilient and Accessible Distribution-Preserving Watermark for Large Language Models.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts A Resilient and Accessible Distribution-Preserving Watermark for Large Language Models
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:05.489390Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22bb54c8-7c40-4e9f-9e8d-38523ec25443 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:07.489425Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6c7be41c-6573-49ce-911c-14aee71ce202 · outbound
This paper cites Debiasing Watermarks for Large Language Models via Maximal Coupling.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Debiasing Watermarks for Large Language Models via Maximal Coupling
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:05.624482Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation adff9e95-8cf0-47e8-a5e9-b2f5b4acb1e9 · outbound
This paper cites Measuring Human Contribution in AI-Assisted Content Generation.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Measuring Human Contribution in AI-Assisted Content Generation
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:05.713279Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a70eb8c1-61be-48a9-affa-bcb3b054276c · outbound
This paper cites Zhang, C.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Zhang, C
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:07.287307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f1a98e19-4529-4fa0-a623-fbab8fc95971 · outbound
This paper cites OPT: Open Pre-trained Transformer Language Models.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts OPT: Open Pre-trained Transformer Language Models
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:05.835530Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e35df4ee-3f0c-4fd6-8c7d-a80cff16f09a · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:07.108822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 78a2bc26-d657-4e79-8723-34d83bc39bfb · outbound
This paper cites Permute-and-Flip: An optimally stable and watermarkable decoder for LLMs.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Permute-and-Flip: An optimally stable and watermarkable decoder for LLMs
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:05.948706Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bdb8da1f-d552-4eab-9303-ab7ae651dfe4 · outbound
This paper cites Efficiently Identifying Watermarked Segments in Mixed-Source Texts.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Efficiently Identifying Watermarked Segments in Mixed-Source Texts
Reference 44
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:15:06.386529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cb7f88ce-41cd-4fb9-8884-14f84f6d13bb · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 45
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:06.970688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bcee6c46-c4c4-458e-9b1f-b4f5aece4ed0 · outbound
This paper cites 1 n nX t=1 pt(ε) # 1 −.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts 1 n nX t=1 pt(ε) # 1 −
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:06.817578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c3f2be24-d458-49db-b6e8-5b8854959f21 · outbound
This paper cites an unresolved cited work.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:15:06.683942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 187fa63b-3e63-45a6-8101-13c7f590e755 · outbound
This paper cites scipy.optimize.minimize.
Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts scipy.optimize.minimize
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:15:06.569266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
Observation 4e770400-11cc-4a77-9d11-3eb35f236cb8 · inbound
Fundamental Trade-Offs in Multi-Bit Watermarking of Stochastic Processes cites this paper.
Fundamental Trade-Offs in Multi-Bit Watermarking of Stochastic Processes Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts
Reference 42
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T07:51:48.781607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 28686dd7-17f4-48af-9701-bd0d79831a01 · inbound
Sample Complexities of Estimating Gumbel--Max Watermark Proportions with and without Reduction to Pivotal Statistics cites this paper.
Sample Complexities of Estimating Gumbel--Max Watermark Proportions with and without Reduction to Pivotal Statistics Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts
Reference 30
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T16:47:09.008775Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b6df722e-9f45-4955-8774-5f9925b44e93 · inbound
Sample Complexities of Estimating Gumbel--Max Watermark Proportions with and without Reduction to Pivotal Statistics cites this paper.
Sample Complexities of Estimating Gumbel--Max Watermark Proportions with and without Reduction to Pivotal Statistics Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts
Reference 30
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T21:58:58.344421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.