{"as_of":"2026-08-08T09:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fcbdcfde70a945978fd1605f4831dda5165970bcb631407bf8ab28618d1dc158","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":11,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T00:15:33.512579Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T18:47:16.963056Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":"2411.19172","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-07-02T18:47:16.963056Z","title":"He, Revisit the relationship between spread complexity rate and radial momentum, (2024), arXiv:2411.19172 [hep-th]","venue":null,"work_id":"fad884b0-30c2-496d-a256-7ec4dd937e6d","year":2024},"citing_paper":{"arxiv_id":"2412.08925","last_updated":"2026-05-21T00:24:08Z","snapshot_observed_at":"2026-07-06T20:05:41.350080Z","submitted_at":"2024-12-12T04:23:29Z","title":"Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-23T07:16:44.979654Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2412.08925"},"observation_digest":"sha256:fcd1953f20c4c4ff138aa2fa0fd1e0d25482b9f2c3039a95441610d44a396632","observation_id":"053168ae-c750-43fb-8343-25e923926579","resolution":{"observed_at":"2026-05-23T07:17:42.230827Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":"2411.19172","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-07-02T18:47:16.963056Z","title":"He, Revisit the relationship between spread complexity rate and radial momentum, (2024), arXiv:2411.19172 [hep-th]","venue":null,"work_id":"fad884b0-30c2-496d-a256-7ec4dd937e6d","year":2024},"citing_paper":{"arxiv_id":"2510.22658","last_updated":"2026-05-14T09:27:22Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-10-26T12:40:14Z","title":"Toward Krylov-based holography in double-scaled SYK","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-18T04:17:25.372814Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2510.22658"},"observation_digest":"sha256:57a7e277d400edb5e2f04207883f796ed1996cd4e9a7f36bac1444b50b037bdf","observation_id":"2c56b8b8-bd04-4e67-b38e-50292e553f8b","resolution":{"observed_at":"2026-05-18T04:20:52.479150Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":"2411.19172","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-07-02T18:47:16.963056Z","title":"He, Revisit the relationship between spread complexity rate and radial momentum, (2024), arXiv:2411.19172 [hep-th]","venue":null,"work_id":"fad884b0-30c2-496d-a256-7ec4dd937e6d","year":2024},"citing_paper":{"arxiv_id":"2601.09801","last_updated":"2026-04-28T13:42:45Z","snapshot_observed_at":"2026-07-06T22:41:43.594456Z","submitted_at":"2026-01-14T19:08:01Z","title":"Probing the Chaos to Integrability Transition in Double-Scaled SYK","version":2},"reference_index":115,"source":"pdf_text","source_observed_at":"2026-05-16T14:15:15.772460Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2601.09801"},"observation_digest":"sha256:352d131c598b1cbad9dd27df4cf6207f920dc1a5fec808f50588011823c845f3","observation_id":"9c62c14e-5306-440a-a284-82371e929df7","resolution":{"observed_at":"2026-05-16T14:17:59.184107Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-08-02T22:14:10.413624Z","title":"He,Revisit the relationship between spread complexity rate and radial momentum, 2411.19172","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.17757","last_updated":"2026-05-26T22:15:39Z","snapshot_observed_at":"2026-08-05T05:20:58.332583Z","submitted_at":"2026-02-19T19:00:00Z","title":"Krylov Complexity, Confinement and Universality","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T22:14:10.413624Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2602.17757"},"observation_digest":"sha256:04e787ec55446e813018ba1484c1c82683c8c78d930a736e08ae94609bfc952f","observation_id":"2808511b-fe3a-4dd3-bd3c-a39a1b6b0857","resolution":{"observed_at":"2026-08-02T22:14:10.413624Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":"2411.19172","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-07-02T18:47:16.963056Z","title":"He, Revisit the relationship between spread complexity rate and radial momentum, (2024), arXiv:2411.19172 [hep-th]","venue":null,"work_id":"fad884b0-30c2-496d-a256-7ec4dd937e6d","year":2024},"citing_paper":{"arxiv_id":"2603.10106","last_updated":"2026-05-07T16:33:14Z","snapshot_observed_at":"2026-07-18T23:19:02.757164Z","submitted_at":"2026-03-10T18:00:00Z","title":"Complexity and Operator Growth in Holographic 6d SCFTs","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-15T13:10:04.376356Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2603.10106"},"observation_digest":"sha256:3d3014aec9812f9c51d027a62038b1cbd34a2c48b504a587a9a35e63ba92e034","observation_id":"8cff4e65-6b9c-49c0-bd0b-71b52e374763","resolution":{"observed_at":"2026-05-15T13:10:49.791335Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":"2411.19172","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-07-02T18:47:16.963056Z","title":"He, Revisit the relationship between spread complexity rate and radial momentum, (2024), arXiv:2411.19172 [hep-th]","venue":null,"work_id":"fad884b0-30c2-496d-a256-7ec4dd937e6d","year":2024},"citing_paper":{"arxiv_id":"2604.07432","last_updated":"2026-04-08T18:00:00Z","snapshot_observed_at":"2026-07-31T07:44:25.524747Z","submitted_at":"2026-04-08T18:00:00Z","title":"Holographic Krylov Complexity for Charged, Composite and Extended Probes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-10T18:02:52.534128Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2604.07432"},"observation_digest":"sha256:9999e26ebebd6c4b76dfcaa841f80391a3d604c0234fafca8ca9263ecd841d92","observation_id":"0b148dcd-3695-4224-bbfd-f356cc8bd917","resolution":{"observed_at":"2026-05-11T05:36:00.556066Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":"2411.19172","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-07-02T18:47:16.963056Z","title":"He, Revisit the relationship between spread complexity rate and radial momentum, (2024), arXiv:2411.19172 [hep-th]","venue":null,"work_id":"fad884b0-30c2-496d-a256-7ec4dd937e6d","year":2024},"citing_paper":{"arxiv_id":"2605.28681","last_updated":"2026-07-21T06:54:52Z","snapshot_observed_at":"2026-08-07T11:11:19.951590Z","submitted_at":"2026-05-27T16:13:52Z","title":"Krylov complexity has it all","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T11:13:49.715091Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2605.28681"},"observation_digest":"sha256:67c000f8b611e71ba18c871de2e5e8f491c7cdde58da255aee6ba5df75c96570","observation_id":"877c6105-8d11-4073-a404-c3a568602942","resolution":{"observed_at":"2026-06-29T11:23:21.970703Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-08-02T13:01:51.867542Z","title":"Revisit the relationship between spread complexity rate and radial momentum,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.28681","last_updated":"2026-07-21T06:54:52Z","snapshot_observed_at":"2026-08-07T11:11:19.951590Z","submitted_at":"2026-05-27T16:13:52Z","title":"Krylov complexity has it all","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T13:01:51.867542Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2605.28681"},"observation_digest":"sha256:7cf34a22da393bc3192fdaea1340b82a6db1849cac46efa3cabdc51f4d292568","observation_id":"1c6bd853-b003-46f1-8d1c-e6622504b466","resolution":{"observed_at":"2026-08-02T13:01:51.867542Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":"2411.19172","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-07-02T18:47:16.963056Z","title":"He, Revisit the relationship between spread complexity rate and radial momentum, (2024), arXiv:2411.19172 [hep-th]","venue":null,"work_id":"fad884b0-30c2-496d-a256-7ec4dd937e6d","year":2024},"citing_paper":{"arxiv_id":"2607.00074","last_updated":"2026-06-30T18:00:00Z","snapshot_observed_at":"2026-08-01T16:43:42.853704Z","submitted_at":"2026-06-30T18:00:00Z","title":"Holographic Spread Complexity from Branes and Strings","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-02T18:42:44.073550Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2607.00074"},"observation_digest":"sha256:2689f791a50eecad87a553970f495e490f5f5664cef6b9b77042aada43b3476c","observation_id":"2f3b1a49-8c08-4adf-a2af-b881d2b2165c","resolution":{"observed_at":"2026-07-02T18:47:16.964449Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-08-01T16:31:58.345770Z","title":"Revisit the relationship between spread complexity rate and radial momentum","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18024","last_updated":"2026-07-20T14:56:00Z","snapshot_observed_at":"2026-08-07T19:34:01.077796Z","submitted_at":"2026-07-20T14:56:00Z","title":"Comments on holographic spread complexity","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-01T16:31:58.345770Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2607.18024"},"observation_digest":"sha256:952a39cd47dd7a3e691b70d8c8e081c3eff3eac6ba8cd0482a122f41038190f1","observation_id":"42761bd8-0cbe-40dd-9998-4c06ebcf1140","resolution":{"observed_at":"2026-08-01T16:31:58.345770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.19172","snapshot_observed_at":"2026-08-07T00:15:33.512579Z","title":"He,Revisit the relationship between spread complexity rate and radial momentum,2411.19172","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02715","last_updated":"2026-08-03T18:00:00Z","snapshot_observed_at":"2026-08-07T23:09:56.513026Z","submitted_at":"2026-08-03T18:00:00Z","title":"Krylov Complexity and $c$-function along RG Flows","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T00:15:33.512579Z"},"links":{"cited_paper":"/paper/2411.19172","citing_paper":"/paper/2608.02715"},"observation_digest":"sha256:a130e60dffc74e85047f12772f8b4c4906130252b628c7b1cd6fade4419cc6b0","observation_id":"2234e40c-edbb-4a7b-808b-406b9bee6f38","resolution":{"observed_at":"2026-08-07T00:15:33.512579Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2411.19172/citation-record","integrity":"/paper/2411.19172/integrity","json":"/paper/2411.19172/citation-record.json","paper":"/paper/2411.19172"},"outbound":[],"paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T19:58:31.184255Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2411.19172."}