{"as_of":"2026-08-16T08:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6b7ef9a58f69fcec36f7df2410aa30521becf9980513961ec3618d326dcd68fe","coverage":[{"denominator":86,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":86,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:59:09.235662Z","state":"measured"},{"denominator":90,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":90,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:59:08.856314Z","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":"2026-05-11T19:41:10.719652Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.02161","snapshot_observed_at":"2026-08-14T14:59:08.856314Z","title":null,"venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.856314Z"},"links":{"cited_paper":"/paper/1908.02161","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:af3a61728263283433e1e78ebf6bb64be66bbb32e0ab5fc43339f1948c9cd570","observation_id":"c129d85c-665c-436a-bf97-fc6c5de4811a","resolution":{"observed_at":"2026-08-14T14:59:08.856314Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.02161","snapshot_observed_at":"2026-07-13T08:29:23.093718Z","title":"Heat kernel for higher-order differ- ential operators and generalized exponential functions,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2604.07500","last_updated":"2026-06-05T19:51:19Z","snapshot_observed_at":"2026-08-12T12:59:33.769752Z","submitted_at":"2026-04-08T18:37:26Z","title":"From Matrix Models to Gaussian Molecules and the Einstein-Hilbert Action","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-13T08:29:23.093718Z"},"links":{"cited_paper":"/paper/1908.02161","citing_paper":"/paper/2604.07500"},"observation_digest":"sha256:151c715cee39a2bd3d542731cf3741c2be6ea0e6a4865bb92d06ba4fd3d6f046","observation_id":"92cb1af5-d9c8-4b25-a283-612fb23731d4","resolution":{"observed_at":"2026-07-13T08:29:23.093718Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"cited_work":{"arxiv_id":"1908.02161","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.02161","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ab46511d-67c5-4a2c-b457-d0eb4f09bffc","year":2019},"citing_paper":{"arxiv_id":"2604.22299","last_updated":"2026-07-06T12:30:20Z","snapshot_observed_at":"2026-07-12T18:30:40.784483Z","submitted_at":"2026-04-24T07:28:41Z","title":"Multiple Mellin-Barnes integrals in Schwinger-DeWitt technique","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-08T11:09:01.695255Z"},"links":{"cited_paper":"/paper/1908.02161","citing_paper":"/paper/2604.22299"},"observation_digest":"sha256:71b31eb23694c5b3ca6af7aedb937cc6d89a16cc7750ae24f9dece221057f126","observation_id":"5c3e95a5-e7a5-40d4-a27a-0028250b6c69","resolution":{"observed_at":"2026-05-11T19:41:10.724236Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.02161","snapshot_observed_at":"2026-07-12T18:30:41.868104Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2604.22299","last_updated":"2026-07-06T12:30:20Z","snapshot_observed_at":"2026-07-12T18:30:40.784483Z","submitted_at":"2026-04-24T07:28:41Z","title":"Multiple Mellin-Barnes integrals in Schwinger-DeWitt technique","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-12T18:30:41.868104Z"},"links":{"cited_paper":"/paper/1908.02161","citing_paper":"/paper/2604.22299"},"observation_digest":"sha256:542104286ee3ba5ce0256ad8cad2291541436ea394eb90c337363065fee4c272","observation_id":"6761c351-f1e1-4ea4-a91b-b415630a67fe","resolution":{"observed_at":"2026-07-12T18:30:41.868104Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1908.02161/citation-record","integrity":"/paper/1908.02161/integrity","json":"/paper/1908.02161/citation-record.json","paper":"/paper/1908.02161"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.02161","snapshot_observed_at":"2026-08-14T14:59:08.856314Z","title":null,"venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.856314Z"},"links":{"cited_paper":"/paper/1908.02161","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:af3a61728263283433e1e78ebf6bb64be66bbb32e0ab5fc43339f1948c9cd570","observation_id":"c129d85c-665c-436a-bf97-fc6c5de4811a","resolution":{"observed_at":"2026-08-14T14:59:08.856314Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:08.861123Z","title":"For ν = 1 this integral defines the well-known fundamental solution (1.2)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.861123Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:7dad69234172f9ec5edfcb0d531cf8cac28812370758e550fd1643750fa8f778","observation_id":"f53a9764-d05d-4b7d-ab01-95f9778ff7b0","resolution":{"observed_at":"2026-08-14T14:59:08.861123Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:08.865394Z","title":"This rep- resentation can be obtained by converting the series (1.4) s Cw w C ××××××× lk 0−1 × × × × α rkα+ν FIG","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.865394Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:3eed5dd5714471e57d2a4a46b3acc2f065670c0924de373fdf8cc87317e71dec","observation_id":"60ead200-22b8-4b03-80ab-e38c85ee0f39","resolution":{"observed_at":"2026-08-14T14:59:08.865394Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:08.869716Z","title":"The series (1.4) diverges for|z|> 1/4 due to the existence of a pole at the point z = 1/4","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.869716Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:9841a8237fe61c0924301280958d866d94d704ad839c207a293d125a18fc9e34","observation_id":"eef01cdf-d47d-4b9b-93c1-115ca17bf0e7","resolution":{"observed_at":"2026-08-14T14:59:08.869716Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:08.874386Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.874386Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:75d91c94b26c8674e9561a9c805d548df80103b308309be82e81a5797afbac0a","observation_id":"5dc79188-b82f-467b-9e84-eefefb5a502b","resolution":{"observed_at":"2026-08-14T14:59:08.874386Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:08.878874Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.878874Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:2a34c3555152923eb589169c2808eae5da196bf09a7a41272e11e19e2d4864fd","observation_id":"95116628-63c6-462a-9f99-8b28d00b54c1","resolution":{"observed_at":"2026-08-14T14:59:08.878874Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:08.882662Z","title":"func- torial property","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.882662Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:c13f0b807903ea74cb0e911f891fecc4937171ecba0f026bcc655182c389949a","observation_id":"109d2480-a163-428b-8c5c-d93768b5c6ca","resolution":{"observed_at":"2026-08-14T14:59:08.882662Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.382609Z","title":"Renormalization of higher-derivative quan- tum gravity,","venue":null,"work_id":"b79f00cf-a32c-4e92-89cd-dbf153b4fdc2","year":1977},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.888443Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:f73a3493e8d89f47b4dbf5eafca5f5d132f179899db25d2c7d8f83a2341d239b","observation_id":"90c05231-0f43-49ca-ae00-40487830f654","resolution":{"observed_at":"2026-08-14T14:59:10.386328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.371876Z","title":"Quantum field theory in curved space- time,","venue":null,"work_id":"afc83117-4ffe-4b11-afa3-41dfb5e9a07a","year":null},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.892606Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:8bdbcb3d1432649a627a9e32639b761b0efdf3c5f28492d2688f3f99fa4753d1","observation_id":"cf12312c-5c74-456b-9fb2-870c00b2135b","resolution":{"observed_at":"2026-08-14T14:59:10.375782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.359010Z","title":"Background field calculations in curved spacetime (I). General formalism and application to scalar fields,","venue":null,"work_id":"f426637d-f231-4a7b-9d2c-5e2b8d1fb652","year":1984},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.896663Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:e97773582eb1ebdf8fc2b303cbe7aa5a39077faeb3d47cc513d72a5b7ac22f66","observation_id":"b373128f-10ea-46ef-af8f-e48c22d3ddb0","resolution":{"observed_at":"2026-08-14T14:59:10.363783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.347213Z","title":"Proof of summed form of proper time expansion for propagator in curved space-time,","venue":null,"work_id":"6a44ec62-64fa-4289-b4bb-f74d93d84a72","year":1985},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.901005Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:f5020b1d0d6a17820b3df27cf664e7959cb8fe53160796c921c807df47fa7202","observation_id":"93d42d58-3fde-431a-80c8-946a8def43de","resolution":{"observed_at":"2026-08-14T14:59:10.351449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.334805Z","title":"Background Fermi fields and Schwinger–DeWitt proper-time method,","venue":null,"work_id":"2a718930-2fd6-4f7e-a3f7-ce579473ee97","year":1985},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.904975Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:03a541995a7babbf920f1f6086015d82865a808280211aa87dca11f64673541d","observation_id":"d8d575f4-5c04-4c76-969f-50fc57920fd9","resolution":{"observed_at":"2026-08-14T14:59:10.339332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.323086Z","title":"The generalized Schwinger–DeWitt technique in gauge theories and quan- tum gravity,","venue":null,"work_id":"3fafef3d-b7ba-486c-a3e8-f71ea007ba64","year":1985},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.909043Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:0a952ec3c6655671b5168466cb13755a732dade0352fdb51b2635319cf25c4de","observation_id":"397c2bb8-bdc0-4e6d-b82a-c732d65a202c","resolution":{"observed_at":"2026-08-14T14:59:10.327633Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.311480Z","title":"Beyond the Schwinger–DeWitt technique: Converting loops into trees and in-in currents,","venue":null,"work_id":"5bcea497-fdf0-4d75-b47e-4596b502675d","year":1987},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.913706Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:d353c197be835c6c31acd23ed051f6fb4af8689d07481a4b5a7022714c3c75b7","observation_id":"c026c5e8-0d36-47a7-a239-21c63684e736","resolution":{"observed_at":"2026-08-14T14:59:10.315907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.299314Z","title":"Covariant pertur- bation theory (II). Second order in the curvature. General algorithms,","venue":null,"work_id":"dbd19748-3d4f-4610-bdff-0b077ae2a036","year":1990},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.918004Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:46d778465483b944cd624c16c8b081528230a10ad7205b5c800c93a9c105eb0c","observation_id":"1d8cfe0e-2aa5-4875-a959-f3dbee519f55","resolution":{"observed_at":"2026-08-14T14:59:10.304043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0911.1168","last_updated":"2009-11-06T03:01:43Z","snapshot_observed_at":"2026-08-15T05:34:36.417084Z","submitted_at":"2009-11-06T03:01:43Z","title":"Covariant Perturbation Theory (IV). Third Order in the Curvature","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0911.1168","snapshot_observed_at":"2026-08-14T14:59:08.923108Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.923108Z"},"links":{"cited_paper":"/paper/0911.1168","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:68baf872bb9cdd7dc180c37b7ef0fadd448f18600b8e2c3b4ab3702139ad9e7d","observation_id":"0cf56aa4-330d-4638-ad76-b5d265f222de","resolution":{"observed_at":"2026-08-14T14:59:08.923108Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.285691Z","title":"Nonperturbative late time asymptotics for the heat kernel in gravity theory,","venue":null,"work_id":"e4f1f2a9-4fe3-4841-8b88-55d136813883","year":2003},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.928825Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:77619881491a39a00ee78c7caff3c0a4d451755bc00ded8b78f9e36323eccf70","observation_id":"abc1f008-61e9-4865-8812-8cec3a0d64ac","resolution":{"observed_at":"2026-08-14T14:59:10.291880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.274619Z","title":null,"venue":null,"work_id":"2a40102c-b61e-4792-8f33-fd77aaf57b2b","year":2000},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.933697Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:d640ede30101da23de57f212c10ae75363e3e268094d242154803f7f3f47e16a","observation_id":"66449ff4-7503-49be-9156-81d4018c57e2","resolution":{"observed_at":"2026-08-14T14:59:10.278273Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.262991Z","title":"Heat kernel approach in quantum field theory,","venue":null,"work_id":"5fdc8ac1-23a3-4615-81a5-5324fea1b7f8","year":2002},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.939178Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:15e9bdc41d7ab7d2c8869eb3d9b2091b82a777e8e0c20bb598303eed177b0c7f","observation_id":"127364d0-ce83-4930-95d8-54d09b0d021d","resolution":{"observed_at":"2026-08-14T14:59:10.266996Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.249708Z","title":"Heat kernel expansion: user’s man- ual,","venue":null,"work_id":"fa9b21ba-ccbe-4904-ace0-24eb5c7b0e4d","year":2003},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.943168Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:400e76b9eef71858c762544530f53744c6c94828e35d8bd610311bf68e0446b1","observation_id":"aa6b7615-d9f3-4391-bfb7-aa1f67d97d27","resolution":{"observed_at":"2026-08-14T14:59:10.254073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.237238Z","title":"Hadamard, Le Probl` eme de Cauchy et les `Equations aux d ´Eriv´ ees Partielles Lin´ eaires Hyperboliques(Her- mann et Cie, Paris, 1932)","venue":null,"work_id":"60f9ee88-233e-4a56-b8d6-cfbc709b08ae","year":1932},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.949717Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:d2e1da556381ffe1c13c9682997629268599acbce65348729721d07af16b503a","observation_id":"24bc52f6-6096-4b7c-b9d1-da3f2b4caa48","resolution":{"observed_at":"2026-08-14T14:59:10.242040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.224554Z","title":"Some properties of the eigenfunctions of the Laplace-operator on Rieman- nian manifolds,","venue":null,"work_id":"fcb5d8ae-71c0-4d79-9e89-b58b2c1e183d","year":1949},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.953432Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:8e55e434ced33baa572a961e306fd43a4df6831b7e4e3d48a07cdc22dd05f274","observation_id":"2583fef4-9ca9-4863-b059-51e129102154","resolution":{"observed_at":"2026-08-14T14:59:10.228939Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.212826Z","title":"Eigenfunctions on Riemannian manifolds,","venue":null,"work_id":"39781088-8306-4668-a463-4bfe015ff62b","year":1953},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.958037Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:8f5c798bc1a5f6a329c5a75181c661eb62f2272c2d5cc75133f7896b923b482a","observation_id":"55e56607-a831-4819-a0a3-418371e366f9","resolution":{"observed_at":"2026-08-14T14:59:10.217269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.200088Z","title":"Complex powers of an elliptic operator,","venue":null,"work_id":"56ffa049-b9db-437e-ac7a-0004a8bd1898","year":1967},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.963006Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:656e21b9c0975f08b1cab38054e54e442466c30df6bfdc30e668705413e64291","observation_id":"f31f3610-475c-4c8f-9a53-bd5d96aaff82","resolution":{"observed_at":"2026-08-14T14:59:10.204205Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.188806Z","title":"The spectral geometry of a Riemannian manifold,","venue":null,"work_id":"51a7ca20-8966-49e0-846e-c5cc3aac14e8","year":1975},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.969665Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:7eb92284f7d67f844c89586b36c7ffdd563ba7fbf62b423088cf1350264bf6fa","observation_id":"09e21fc5-3228-43df-a04e-2bae7277bf5c","resolution":{"observed_at":"2026-08-14T14:59:10.192598Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.177960Z","title":"Recursion relations and the asymptotic behavior of the eigenvalues of the Laplacian,","venue":null,"work_id":"a6ed604d-226d-4181-b455-243144b2e0ca","year":1979},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.975001Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:0371a96633eb23187b430245f85a484c315c70e1cebad7de3cac7e5e7bcc48ef","observation_id":"0a12bff1-3ca0-47de-9d51-94864d0ac1fd","resolution":{"observed_at":"2026-08-14T14:59:10.181697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.167838Z","title":"Die Eigenzeit in der Klassischen- und in der Quantennechanik,","venue":null,"work_id":"fb0527b2-df49-4308-9111-4508dd6c7b47","year":1937},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.980848Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:f23172c4abf78895d9ec20716039a89f0820daa05ce678a79187dedc22eafc98","observation_id":"2f8f3345-6c7a-4f37-b4c7-35554be97005","resolution":{"observed_at":"2026-08-14T14:59:10.171190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.155204Z","title":"On gauge invariance and vacuum polar- ization,","venue":null,"work_id":"ed1366ad-1191-4ee8-9d9f-7d3ef84a35ef","year":1951},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.985425Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:cfd50f4cef98e7ab1572f067c117358d31f9f83b0e01e789d61fa7f9c62e6f38","observation_id":"18634d87-44b2-4701-b7c5-59e09cc8a8ab","resolution":{"observed_at":"2026-08-14T14:59:10.159597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.142454Z","title":null,"venue":null,"work_id":"0483f102-3124-490b-bd33-edb9ab2f1447","year":1965},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.989382Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:bdf9c3b18a41d1f246355c70a8e353a2900c03f9398122afe58fe942b55f94e2","observation_id":"fea025e5-c059-44c4-b8cc-c0ffbfd782d7","resolution":{"observed_at":"2026-08-14T14:59:10.147123Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.130072Z","title":"Logarithmic terms in asymptotic expansions of heat operator traces,","venue":null,"work_id":"e1fc1847-ca17-48c1-9fe1-bbb10cbb0c18","year":1998},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.993218Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:e27e662ef5cb93cd2eadbc57eba9813783c6d2a8b9c4920c356eec938525aca5","observation_id":"3ecc2528-4adb-4a99-9c4d-e87022000e09","resolution":{"observed_at":"2026-08-14T14:59:10.134270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.117678Z","title":null,"venue":null,"work_id":"46df9520-44db-4951-bd32-27c9e19a3920","year":2003},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:08.996958Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:590dfdac34aa61b0fb013543ef6d94a969bffdb6ea172d16ef1124acc8f5f213","observation_id":"1c59710f-8524-4a9b-8d8d-a343105ff071","resolution":{"observed_at":"2026-08-14T14:59:10.121668Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.105036Z","title":"Heat kernel asymptotics for roots of generalized Laplacians,","venue":null,"work_id":"03284be0-7e2f-4525-8f9b-12f785df99f7","year":2003},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.000779Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:103a2738fb2d27874e1a2671aabb915fd1694d343bc29023c5fae2d98bc0b15e","observation_id":"561fc8cb-5fa2-440a-b46c-72652ee26b22","resolution":{"observed_at":"2026-08-14T14:59:10.109351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0905.2626","last_updated":"2010-11-05T10:05:47Z","snapshot_observed_at":"2026-08-15T05:48:17.955011Z","submitted_at":"2009-05-15T21:24:11Z","title":"Heat kernel estimates for the fractional Laplacian with Dirichlet conditions","version":4},"cited_work":{"arxiv_id":"0905.2626","doi":null,"metadata_source":"pith","pith_arxiv_id":"0905.2626","snapshot_observed_at":"2026-08-14T14:59:09.455412Z","title":"Heat kernel estimates for the fractional Laplacian with Dirichlet conditions","venue":"math.PR","work_id":"f2f71dc4-cd66-4006-a45a-331e8139e1e5","year":2009},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.004756Z"},"links":{"cited_paper":"/paper/0905.2626","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:2976807c55e691f0a4ef88f76204effec40fc04cb105e13da4b98399403508b4","observation_id":"ab2261fe-db7a-4ad6-8d8d-758b51c6a61f","resolution":{"observed_at":"2026-08-14T14:59:09.460495Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1302.6529","last_updated":"2013-10-08T13:24:55Z","snapshot_observed_at":"2026-08-15T00:27:24.339626Z","submitted_at":"2013-02-26T18:40:28Z","title":"Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators","version":4},"cited_work":{"arxiv_id":"1302.6529","doi":null,"metadata_source":"pith","pith_arxiv_id":"1302.6529","snapshot_observed_at":"2026-08-14T14:59:09.434404Z","title":"Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators","venue":"math.AP","work_id":"06b3ecd9-6ba0-4b0d-9ad9-e68cb84b4018","year":2013},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.009668Z"},"links":{"cited_paper":"/paper/1302.6529","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:fe3d84f371d9ea997448cf79cfd87e9da8d39be96dbd0bd9d00b0d2119bb07ee","observation_id":"caa82c1b-3a31-4340-8f5c-9897f0fafc35","resolution":{"observed_at":"2026-08-14T14:59:09.440095Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.092914Z","title":"The spectral geometry of the higher order Laplacian,","venue":null,"work_id":"8d6b48bd-2d97-4959-bc97-1fd2500f1eb8","year":1980},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.014352Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:043739c68b083c9b7f0f1adb544f99c9a2cee6c33e8e94cb58597ff66df46528","observation_id":"92115e51-7ff9-41de-b94a-1b56356cc285","resolution":{"observed_at":"2026-08-14T14:59:10.097183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.082577Z","title":"Invariants of the heat equa- tion,","venue":null,"work_id":"e9134610-849d-488a-a93a-79686c9202ec","year":1985},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.017902Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:69b048c6ca46c8fc84cab218591076e726391e79f99cdbd2b3105114f57f76da","observation_id":"48d6ec23-8016-4d00-b4a7-c29d063ba8b3","resolution":{"observed_at":"2026-08-14T14:59:10.086361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.070697Z","title":"Heat equation asymptotics of “nonminimal","venue":null,"work_id":"88cd099a-a53d-41ee-aebb-a04c6d32e243","year":1991},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.021578Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:4d0fa20d09902ef10f1ec4e442ab1f96119b641197d1ec70a4d831c773735ef3","observation_id":"104e3998-37b3-442b-8472-3eef4575a7d5","resolution":{"observed_at":"2026-08-14T14:59:10.075149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.058032Z","title":"Heat equation asymptotics of elliptic operators with non-scalar leading symbol,","venue":null,"work_id":"c6dbe775-8a67-4e56-9c47-e7661ccb943f","year":1994},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.025695Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:79938b5b66dd386e336f9f438a018b0e51bc5836230cb3f378a25d9cb746c356","observation_id":"b431b546-0531-4aa4-b6ca-0b5e8ef0f938","resolution":{"observed_at":"2026-08-14T14:59:10.062748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.045531Z","title":"Renormalizable asymptotically free quantum theory of gravity,","venue":null,"work_id":"778df8ec-4d1d-480c-8122-3accae0d8fcd","year":1982},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.032219Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:9d13cf812fbb00e661546b8c544619d51690954477ef8827a66bb58f73788df3","observation_id":"a4633117-3df5-44dd-8048-9e0f9b1bd4a3","resolution":{"observed_at":"2026-08-14T14:59:10.050231Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.032732Z","title":"Asymptotic free- dom in higher-derivative quantum gravity,","venue":null,"work_id":"ff907e27-e78c-4ea9-a113-1482c8439412","year":1985},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.036770Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:68d15f9f168ddfbe58fa796862b1f0c4dfcacd7673d22da7e35204cbe8251d7d","observation_id":"118c43e5-8e42-4f04-a5af-c9ce13d19d07","resolution":{"observed_at":"2026-08-14T14:59:10.037266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.020682Z","title":null,"venue":null,"work_id":"0715ce70-f981-4d81-ba20-67ce4b5eb137","year":1997},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.040845Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:a2f305ee0088bbe1493739c1817ec5176c30b528fd30c7c0346b4f954a02c81b","observation_id":"207ad572-829d-4641-8d05-b87c83e19a35","resolution":{"observed_at":"2026-08-14T14:59:10.024852Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1202.3151","last_updated":"2012-02-14T21:13:38Z","snapshot_observed_at":"2026-08-15T04:19:16.709121Z","submitted_at":"2012-02-14T21:13:38Z","title":"Super-renormalizable Multidimensional Quantum Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.3151","snapshot_observed_at":"2026-08-14T14:59:09.044416Z","title":"Super-renormalizable multidimensional quantum gravity,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.044416Z"},"links":{"cited_paper":"/paper/1202.3151","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:2f0ff3639ae4c2767742349d64967e9c38db178f582989672aba0204c219077a","observation_id":"220b12a8-32c4-4759-8de4-c49558b38e99","resolution":{"observed_at":"2026-08-14T14:59:09.044416Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.04747","last_updated":"2017-06-08T15:40:24Z","snapshot_observed_at":"2026-08-14T21:11:58.498905Z","submitted_at":"2017-03-14T22:09:17Z","title":"Heat kernel methods for Lifshitz theories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.04747","snapshot_observed_at":"2026-08-14T14:59:09.049103Z","title":"Heat kernel methods for Lifshitz theories,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.049103Z"},"links":{"cited_paper":"/paper/1703.04747","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:8b762602274aec43c670243d95a425a419e22f065ca1181aff4c6a5102c738ef","observation_id":"8904db86-a717-4529-9e88-c766e9cb7880","resolution":{"observed_at":"2026-08-14T14:59:09.049103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.06809","last_updated":"2018-04-26T08:08:17Z","snapshot_observed_at":"2026-08-14T20:52:37.473142Z","submitted_at":"2017-06-21T09:53:24Z","title":"Ho\\v{r}ava gravity is asymptotically free (in 2+1 dimensions)","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.06809","snapshot_observed_at":"2026-08-14T14:59:09.052882Z","title":"Ho˘ rava gravity is asymptotically free in 2+1 dimensions,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.052882Z"},"links":{"cited_paper":"/paper/1706.06809","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:4add0eed9bd6f44a055ba2da3b6e05021dcd98de3c48af7beb8f193d8304d94a","observation_id":"8542db27-e5ed-4116-8a7c-38cdcf7e7a77","resolution":{"observed_at":"2026-08-14T14:59:09.052882Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:10.007631Z","title":"Higher-derivative op- erators and DeWitts WKB ansatz,","venue":null,"work_id":"2b6eb304-cd1d-48f3-912f-a14e714d011c","year":1986},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.057364Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:d8be803006abde10393537e13d7f565ecf5448365a6a2f7613dfdc813bdf9369","observation_id":"ed3e53e7-32bb-463f-9c9a-225ebc78493f","resolution":{"observed_at":"2026-08-14T14:59:10.012419Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.996304Z","title":"New algorithm for asymptotic expansions of the heat kernel,","venue":null,"work_id":"ff37dcea-e200-4c82-833f-9015b3adc8a1","year":1987},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.061232Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:b0a763cba414ef7aa4464bf0385530a24ae54c9a46a75d3ebb14927ee0c908e6","observation_id":"6bfb56bd-6c8c-4d19-a0bf-c9bfcdd36089","resolution":{"observed_at":"2026-08-14T14:59:10.000278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.984088Z","title":"One-loop coun- terterms for the dimensional regularization of arbi- trary Lagrangians,","venue":null,"work_id":"661e8d58-3110-46d7-8eb7-21282742cd12","year":1997},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.065421Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:5fc83ce94c2afc8bf76f3591e2591cee0fd6e0194aecdc2650af5be942cf69ac","observation_id":"50226bdf-2c04-4ce2-802a-a6708e362660","resolution":{"observed_at":"2026-08-14T14:59:09.988371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.970237Z","title":"Singularities of Green functions of the products of the Laplace type operators,","venue":null,"work_id":"5bf4134b-0ba9-4c0d-9e59-11779ab528d4","year":1997},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.069557Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:f90286b29fc074046b0f5758a73c11a4b5d71a23fbcd27762d2ba56229b40a87","observation_id":"4630d320-5649-4a86-9c91-1ca739901844","resolution":{"observed_at":"2026-08-14T14:59:09.975288Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.955283Z","title":"Green functions of higher-order differ- ential operators,","venue":null,"work_id":"da603516-7e1a-4083-9f3b-594bb65cb978","year":1998},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.073692Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:879e83f3e2a30a3f19f9da30159010f9c85e73e8a072658e5491fcf719701389","observation_id":"faa3b6e5-7d13-4ec1-bfb3-8081c87d5c34","resolution":{"observed_at":"2026-08-14T14:59:09.961556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.941228Z","title":"New algorithm for computing the coef- ficients in the heat kernel expansion,","venue":null,"work_id":"6383c0cd-7ac3-48fc-8ecf-bc9c760dcaa5","year":1989},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.077634Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:ff6c8c99f87c135d463a8f7110819431ebd304960a9ae2a4a9f57f5110a4cef3","observation_id":"59199e57-74e5-4b55-a65b-5b3796906e7d","resolution":{"observed_at":"2026-08-14T14:59:09.946820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.927809Z","title":"Seeley–Gilkey coefficients for fourth- order operators on a Riemannian manifold,","venue":null,"work_id":"73483b2a-9be2-46be-a1c2-29da5d49cadd","year":1990},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.081185Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:484403572c0c92ca983d85ce21d37eba70937d2f34219e757d8efbec751d73c8","observation_id":"89c3fe3f-f029-4d79-b0c4-e15b5fb1330f","resolution":{"observed_at":"2026-08-14T14:59:09.932842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.914880Z","title":"Asymptotics of the heat kernel for non- minimal differential operators,","venue":null,"work_id":"a2716dd8-5cb1-498c-a0c1-fb330c4faea3","year":1991},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.084649Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:0b6e5721fe16945343a62e453942f0b45bc480891b64cb093d2cdfae1b9ac006","observation_id":"47f54894-f569-49f3-a09d-40d8865cf008","resolution":{"observed_at":"2026-08-14T14:59:09.919781Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.903147Z","title":"Local heat ker- nel asymptotics for nonminimal differential operators,","venue":null,"work_id":"569309ce-dfbd-4226-9507-0e58dcfa8f03","year":1991},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.089307Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:b85128481606364579a991e8991b1fb9f3c823e640f400522d54b8965a774cf8","observation_id":"4835bd95-12cb-414d-acc4-8d1b137111aa","resolution":{"observed_at":"2026-08-14T14:59:09.906866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.891530Z","title":"Heat kernel expansion for nonminimal differential oper- ations and manifolds with torsion,","venue":null,"work_id":"0844a9bd-f98e-4ff5-9137-1fae6ed9ee13","year":1991},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.092743Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:f4bbc2ec81988f3efe9e2af0f09f28b91945caa367eabda7593c11dee2d2af9a","observation_id":"4e0f3151-08fb-4f80-880f-23fda0532873","resolution":{"observed_at":"2026-08-14T14:59:09.895810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.878428Z","title":"Heat kernel expansion for operators con- taining a root of the Laplace operator,","venue":null,"work_id":"faafa794-5a99-4ef1-b531-da6f80bbb5f4","year":1997},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.096471Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:545e0188385cbd9378bc081031143348326ee0ecefd1a9d467fe8a2aca2d941d","observation_id":"d5e2b959-6802-4aeb-9370-cec05f83cabe","resolution":{"observed_at":"2026-08-14T14:59:09.883142Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.865379Z","title":"Superdiffusion and stable laws,","venue":null,"work_id":"802c1759-a4b8-4dc8-9b30-2ed66c124e57","year":1999},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.100157Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:cd9dfc26a890a880fc7fa435e157c29cb1c76edef60d4c4566442b29a4c3d0f4","observation_id":"e926ba9a-5d87-4dc7-a4ca-2640361c18ce","resolution":{"observed_at":"2026-08-14T14:59:09.870324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1308.2706","last_updated":"2013-08-12T21:53:58Z","snapshot_observed_at":"2026-08-15T00:07:01.969371Z","submitted_at":"2013-08-12T21:53:58Z","title":"Heat kernel for flat generalized Laplacians with anisotropic scaling","version":1},"cited_work":{"arxiv_id":"1308.2706","doi":null,"metadata_source":"pith","pith_arxiv_id":"1308.2706","snapshot_observed_at":"2026-08-14T14:59:09.374116Z","title":"Heat kernel for flat generalized Laplacians with anisotropic scaling","venue":"hep-th","work_id":"b3c6b69a-2ae0-417a-abc3-a5719a86aad7","year":2013},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.104757Z"},"links":{"cited_paper":"/paper/1308.2706","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:1b0abbacbb6cab875cec3e9f61008f287a03b4449a668c51fe6cd619ae7627bd","observation_id":"5ce7cbbf-3307-4256-b3cc-fe09011322e5","resolution":{"observed_at":"2026-08-14T14:59:09.379014Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.852734Z","title":"The asymptotic expansion of the gener- alized hypergeometric function,","venue":null,"work_id":"37827dc0-6f15-438d-80aa-f1a779d4180f","year":1935},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.108885Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:252233e86c3ccd348b661aa1b40a359b5ab2f1762f49a9fca7786a9a032fe594","observation_id":"558680ad-d506-43a6-b3ec-59d3abba6858","resolution":{"observed_at":"2026-08-14T14:59:09.857386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.839629Z","title":"The asymptotic expansion of the general- ized hypergeometric function,","venue":null,"work_id":"62b3b8f6-506a-4dd1-a109-c82018dab136","year":1940},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.114126Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:896ad1affe084f510985213117219e8db1516b0908aa5704b0de49377202918e","observation_id":"a8dcbf6d-c495-42bc-934b-4b9b5a00ad35","resolution":{"observed_at":"2026-08-14T14:59:09.844800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.827522Z","title":"Asymptotic expansions and analytic continuations for a class of Barnes-integrals,","venue":null,"work_id":"69c25830-c83f-4979-b204-33359d032e52","year":1964},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.118682Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:1d50c9e789dee9238ed718d260ffe1e346b7894ed5ed73e23f928a66a2f4d56e","observation_id":"0cfee1e5-908d-42ac-bbfa-3e3c76239765","resolution":{"observed_at":"2026-08-14T14:59:09.831865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.816954Z","title":null,"venue":null,"work_id":"64c0a224-78b8-44de-8939-affaba09e5e3","year":1983},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.122535Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:eb31c4a2bbf89d85d2c9403aeb2050844b74890540af476881bbd9d36fde4bf1","observation_id":"23585ba5-216d-4fd8-81d6-0ac97ecb3143","resolution":{"observed_at":"2026-08-14T14:59:09.820679Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.801887Z","title":null,"venue":null,"work_id":"90f6a57c-cc08-41d8-8066-a22b45e13c14","year":1984},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.127405Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:a8d49d1942b18d171a68d7506bc8d6b006092ffa05b7740b6ad98c5520c5a7ce","observation_id":"e13ebde5-ac87-4043-b015-20f432fd9cdb","resolution":{"observed_at":"2026-08-14T14:59:09.807036Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.788944Z","title":null,"venue":null,"work_id":"57525957-0dc7-4837-b177-b942012ec04f","year":2010},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.131452Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:e8c01b177b169a157321bf3e75171de77c701dc5a40e1f6c6a142322aea07959","observation_id":"76dee2f7-9921-47a8-9e90-f3545fd59da0","resolution":{"observed_at":"2026-08-14T14:59:09.793535Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.775476Z","title":null,"venue":null,"work_id":"b26c8dd7-d822-451d-a4ae-1d85e430129b","year":2004},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.134995Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:814d622275c42352befd8b85a886cbd0209b454be1a1ab02419242217a5aefdf","observation_id":"0a7a7ed4-2608-40dc-80e3-65d15b9c0dc5","resolution":{"observed_at":"2026-08-14T14:59:09.779197Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.762126Z","title":"Anti–de Sitter space and holography,","venue":null,"work_id":"9462861a-0716-461f-aef3-1d3e7a38e5e5","year":1998},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.139506Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:38fc331fdf7625f7707051c2950a07f1079577307c919b87d5b4e898d8789a94","observation_id":"ce57d307-c9be-4c90-b4a3-2ae007f986f3","resolution":{"observed_at":"2026-08-14T14:59:09.766841Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.737139Z","title":"D = 4 super Yang– Mills, D = 5 gauged supergravity and D = 4 confor- mal supergravity,","venue":null,"work_id":"59121624-6506-440f-94cc-2a1535c0134d","year":1998},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.144352Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:de819e405d1675fc8acb8ddbf08fe500adaa1e744b1d755e83d0fe536e80c8f0","observation_id":"eb3b5a28-3b39-49b1-949a-1527b027ede9","resolution":{"observed_at":"2026-08-14T14:59:09.742126Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.719900Z","title":"Strong inter- actions and stability in the DGP model,","venue":null,"work_id":"4934bf27-52d9-4581-9507-d56c7ec08941","year":2003},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.148594Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:0ccdebde24a5da67590b007d249a7730626a9dc39755ffd4f7d18b23204d3150","observation_id":"2b2ca4f4-ba1d-4ac9-ae34-a20195dbf2c8","resolution":{"observed_at":"2026-08-14T14:59:09.724989Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.705196Z","title":"Quantum effective action in spacetimes with branes and boundaries,","venue":null,"work_id":"3a0b99ab-0e1b-4387-8f71-b007934df81c","year":2006},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.152951Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:9f5cbc364155d1356f1c35ae9f8e6072aaf07d547264161001722e7793e39762","observation_id":"3041511b-9538-42b7-b964-2f61487fd255","resolution":{"observed_at":"2026-08-14T14:59:09.710378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0911.5334","last_updated":"2009-11-30T18:09:58Z","snapshot_observed_at":"2026-08-15T05:32:42.214127Z","submitted_at":"2009-11-30T18:09:58Z","title":"The Schwinger-DeWitt technique for quantum effective action in brane induced gravity models","version":1},"cited_work":{"arxiv_id":"0911.5334","doi":null,"metadata_source":"pith","pith_arxiv_id":"0911.5334","snapshot_observed_at":"2026-08-14T14:59:09.353025Z","title":"The Schwinger-DeWitt technique for quantum effective action in brane induced gravity models","venue":"hep-th","work_id":"67737f0d-692f-4b9b-a478-4e0f5903b263","year":2009},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.157619Z"},"links":{"cited_paper":"/paper/0911.5334","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:767426213788f5c2fe50ffcbccae7ce252741ada68fb51ec83109600757ca001","observation_id":"83dfbdd5-7c52-48dc-9081-49c4979e5037","resolution":{"observed_at":"2026-08-14T14:59:09.358031Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.689611Z","title":null,"venue":null,"work_id":"08b67848-ea5d-410b-86fa-72f6d3d196c4","year":1993},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.162571Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:434da6f02d63f786a197c43b6386a9b4a8b3d9e5ec1b7c0dc39ec7714b5f418e","observation_id":"fcafcb0e-ebc0-49a1-9c31-b42a518faa95","resolution":{"observed_at":"2026-08-14T14:59:09.695156Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.664751Z","title":null,"venue":null,"work_id":"60262007-b996-456b-84ca-0e468ebc3c1d","year":2005},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.166525Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:f6c9a279c480f0d656a14bd6c4e48e8f1a23994351b5afa4aa6865b1dbdf51f1","observation_id":"454c4867-c02f-48c2-bfb0-37785f8acc38","resolution":{"observed_at":"2026-08-14T14:59:09.679522Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.640182Z","title":"The fundamental solutions for the frac- tional diffusion-wave equation,","venue":null,"work_id":"b96f1206-3e7f-438a-832c-9da2af324639","year":1996},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.170444Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:79351ba01b23c3eea605695b436d34d1c1993bac2efa92ae9ebb080f44ecde83","observation_id":"0c60d7d4-22ad-45dc-8f5f-e5e9571b61f1","resolution":{"observed_at":"2026-08-14T14:59:09.645607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.625024Z","title":"Wright func- tions as scale-invariant solutions ot the diffusion-wave equation,","venue":null,"work_id":"3bac5c16-04a3-46d6-a3a8-809c44f90e67","year":2000},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.174368Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:66dd5c802895e81363a076b2e7dc4d5422364620030d66aaec6e73e4560ba5c1","observation_id":"744cec6f-15cb-4878-a118-b90837c77cfa","resolution":{"observed_at":"2026-08-14T14:59:09.629972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.610493Z","title":"The fun- damental solution of the space-time fractional diffusion equation,","venue":null,"work_id":"1d8091e8-3fd0-47f3-8db9-12a82bb1255a","year":2001},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.178683Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:af59c8d00b09b2bdbde669393956c5cb7bf4a6a34d0b6fe3e894b8997eada31a","observation_id":"ce1f8f0b-b1ba-4f13-9604-d04132ea3d9d","resolution":{"observed_at":"2026-08-14T14:59:09.616443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.599203Z","title":"The semiclassical expansion,","venue":null,"work_id":"1c6e86ef-b3af-4bf7-8288-245aa1c5e0a0","year":1976},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.184518Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:fc211dff7ec6c776e68025f28e23b5b64dabe90f8bf1fc18b214feda253a6baa","observation_id":"064e66ca-4447-4225-a30e-abe9b1ebde6b","resolution":{"observed_at":"2026-08-14T14:59:09.602943Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.584503Z","title":"Unitarity approach to quantum cos- mology,","venue":null,"work_id":"795608a2-67b9-463e-b887-34d7fc7ae3f4","year":1993},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.188596Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:bb0c153a2ea584b982252259cb912f7ec46c3a2828d189d4a040f49752905dbf","observation_id":"d760e2ff-ae8e-4c10-a04c-733c00f8359c","resolution":{"observed_at":"2026-08-14T14:59:09.589392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.571726Z","title":null,"venue":null,"work_id":"aaa681d2-8e9b-4c98-b9d6-c44351a8ae52","year":1987},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.192244Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:65da61f3db13f714a0710e941cf5bdaccf3f2d908086d42b61c9c98efc3ee948","observation_id":"5f48450f-dc56-4173-852c-3e0bbbe69a85","resolution":{"observed_at":"2026-08-14T14:59:09.576171Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.557825Z","title":"The heat kernel expansion and recurrence relations for higher order minimal operators,","venue":null,"work_id":"5fb76742-5a8b-463c-be28-9a5f36ab4aa8","year":null},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.196215Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:946bc4caceea43d0b09fb0e5615102d3ccc690875352573bd9cd0346f86bddb1","observation_id":"c86ecd53-0d6e-4f53-a6e3-6c1f11b65a6d","resolution":{"observed_at":"2026-08-14T14:59:09.562581Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1412.3467","last_updated":"2016-09-08T11:55:22Z","snapshot_observed_at":"2026-08-14T23:08:06.034058Z","submitted_at":"2014-12-10T21:03:00Z","title":"Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.3467","snapshot_observed_at":"2026-08-14T14:59:09.200525Z","title":"Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.200525Z"},"links":{"cited_paper":"/paper/1412.3467","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:90d2113b58113c6770e05630c285775f67faf027190ef9a243d1d47119686818","observation_id":"1b145837-39ef-42dc-a02d-2885f6a132ad","resolution":{"observed_at":"2026-08-14T14:59:09.200525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.01250","last_updated":"2016-06-03T20:00:01Z","snapshot_observed_at":"2026-08-14T21:54:16.474567Z","submitted_at":"2016-06-03T20:00:01Z","title":"Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.01250","snapshot_observed_at":"2026-08-14T14:59:09.205315Z","title":"Consis- tent higher derivative gravitational theories with stable de Sitter and anti–de Sitter backgrounds,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.205315Z"},"links":{"cited_paper":"/paper/1606.01250","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:b55e5a9fc45f01d7bfa09dfdca3f6f9d81c473aee3ddde0787be8cdbd781f22b","observation_id":"62f0c487-4141-4675-a375-921c694ec687","resolution":{"observed_at":"2026-08-14T14:59:09.205315Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.08566","last_updated":"2018-05-22T13:21:54Z","snapshot_observed_at":"2026-08-14T19:12:30.794285Z","submitted_at":"2018-05-22T13:21:54Z","title":"Fractional Derivative Regularization in QFT","version":1},"cited_work":{"arxiv_id":"1805.08566","doi":null,"metadata_source":"pith","pith_arxiv_id":"1805.08566","snapshot_observed_at":"2026-08-14T14:59:09.296362Z","title":"Fractional Derivative Regularization in QFT","venue":"hep-th","work_id":"8da75a7c-9b53-44c3-96cb-a9cca4ebcb84","year":2018},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.210224Z"},"links":{"cited_paper":"/paper/1805.08566","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:e702f18c62ef8da89d331a63baf4a3c7c932780965bb922560ff616410fbef58","observation_id":"3c8df2fb-197f-4d90-aaec-6db610ba2ec3","resolution":{"observed_at":"2026-08-14T14:59:09.301694Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.545909Z","title":"The asymptotic expansion of Legendre function of large degree and order,","venue":null,"work_id":"bb4f369b-5b14-459d-9847-43923b154699","year":1957},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.216448Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:014bf3d12b377f6740d311e183288cdd13cc9f442f04fdea96d865e14fc8d4cf","observation_id":"34f99a77-27c0-4bd9-a9fa-e9f0250828b3","resolution":{"observed_at":"2026-08-14T14:59:09.549750Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.531667Z","title":null,"venue":null,"work_id":"e274e926-d45e-41f7-8a63-eda92116c8cf","year":2010},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.220812Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:5e0825d61386ccbcc54d24b88827314bd392b0bb194333c18d15dbf3c6abdb02","observation_id":"a7a54a1c-967c-43b9-9400-59c2868991dc","resolution":{"observed_at":"2026-08-14T14:59:09.537305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.515457Z","title":"On the gener- alized Wright function,","venue":null,"work_id":"b16558d3-b80d-404c-8a5a-57f47332b58a","year":2002},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.226071Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:78a356bbad9892b1294d98d46a44a9ee72364d4bbca2e6d3c16395513d4ad4a7","observation_id":"14cdb68c-aa74-4bcd-a688-98460a59ea58","resolution":{"observed_at":"2026-08-14T14:59:09.522193Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:59:09.499685Z","title":"Fractional calculus of the generalized Wright function,","venue":null,"work_id":"d76d76ec-d7a8-4f73-afc6-5022940a6194","year":2005},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.231529Z"},"links":{"citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:51353b7f3645cb71234018769c413e5ee78497fbf30bab0f48388ec898ff7c08","observation_id":"0fe6f169-bc1e-44dc-bec0-30ee9b51202f","resolution":{"observed_at":"2026-08-14T14:59:09.506037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.01912","last_updated":"2017-03-21T16:51:44Z","snapshot_observed_at":"2026-08-14T21:13:43.224879Z","submitted_at":"2017-03-03T12:23:58Z","title":"Fractional calculus and generalized Mittag-Leffler type functions","version":2},"cited_work":{"arxiv_id":"1703.01912","doi":null,"metadata_source":"pith","pith_arxiv_id":"1703.01912","snapshot_observed_at":"2026-08-14T14:59:09.274051Z","title":"Fractional calculus and generalized Mittag-Leffler type functions","venue":"math.CA","work_id":"6dd38b12-9e21-4d55-8931-83dbc7a63e93","year":2017},"citing_paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-14T14:59:09.235662Z"},"links":{"cited_paper":"/paper/1703.01912","citing_paper":"/paper/1908.02161"},"observation_digest":"sha256:84f3fb0328e1cc8012f01dc0f1661a63ebc07ad55daf9d410fc94a2f0e002473","observation_id":"c908409d-c80a-4713-b79d-935693f1430b","resolution":{"observed_at":"2026-08-14T14:59:09.280374Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02161","last_updated":"2019-11-08T15:40:12Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-14T14:50:09.065822Z","submitted_at":"2019-08-06T13:44:21Z","title":"Heat kernel for higher-order differential operators and generalized exponential functions"},"reference_resolution":{"displayed":86,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":25,"verified_exact":6,"verified_fuzzy":55},"total_outbound_references":86},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 86 of 86 outbound references and 4 inbound Pith citation observations for arXiv:1908.02161."}