{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FN5EVHK5YDUPG6HKZ5EAC42N2P","short_pith_number":"pith:FN5EVHK5","canonical_record":{"source":{"id":"1303.5561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-22T09:58:37Z","cross_cats_sorted":[],"title_canon_sha256":"aa0d60dbbd17d8e19ca0930dded3cc442fc5c4836d45a4c9cad20c3e1e335e6f","abstract_canon_sha256":"1ba7cfcb576ee53a2cddaf5a7993b0677be333a5620cb588b1dc8342ef59f49c"},"schema_version":"1.0"},"canonical_sha256":"2b7a4a9d5dc0e8f378eacf4801734dd3cd2d132c676d7c75102e6b80b99af5fb","source":{"kind":"arxiv","id":"1303.5561","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5561","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5561v1","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5561","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"pith_short_12","alias_value":"FN5EVHK5YDUP","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FN5EVHK5YDUPG6HK","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FN5EVHK5","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FN5EVHK5YDUPG6HKZ5EAC42N2P","target":"record","payload":{"canonical_record":{"source":{"id":"1303.5561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-22T09:58:37Z","cross_cats_sorted":[],"title_canon_sha256":"aa0d60dbbd17d8e19ca0930dded3cc442fc5c4836d45a4c9cad20c3e1e335e6f","abstract_canon_sha256":"1ba7cfcb576ee53a2cddaf5a7993b0677be333a5620cb588b1dc8342ef59f49c"},"schema_version":"1.0"},"canonical_sha256":"2b7a4a9d5dc0e8f378eacf4801734dd3cd2d132c676d7c75102e6b80b99af5fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:03.844837Z","signature_b64":"KJYFDZ5jCEYETGjXUtmckk7A88P/5l58mopWcAsDSHKqBBPEjPfmeNW/5Sj/ShPSOwf02OJxFBCW7/6vFF/tCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b7a4a9d5dc0e8f378eacf4801734dd3cd2d132c676d7c75102e6b80b99af5fb","last_reissued_at":"2026-05-18T03:30:03.844170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:03.844170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.5561","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:30:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YuCofju9hyj+mY45/6eugKdOJyEgG5i5F99AUoIhL17oY+f88h34KXIz9Scykwav9svFx7yYvjPEoX9/0HzpAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T02:21:02.467858Z"},"content_sha256":"3decc33b7f0b448a09a71efe596721605704359936aa7f95e3b48679004783f1","schema_version":"1.0","event_id":"sha256:3decc33b7f0b448a09a71efe596721605704359936aa7f95e3b48679004783f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FN5EVHK5YDUPG6HKZ5EAC42N2P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anti-Wick and Weyl quantization on ultradistribution spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bojan Prangoski, Stevan Pilipovi\\'c","submitted_at":"2013-03-22T09:58:37Z","abstract_excerpt":"The connection between the Anti-Wick and Weyl quantization is given for certain class of global symbols, which corresponding pseudodifferential operators act continuously on the space of tempered ultradistributions of Beurling, respectively, of Roumieu type. The largest subspace of ultradistributions is found for which the convolution with the gaussian kernel exist. This gives a way to extend the definition of Anti-Wick quantization for symbols that are not necessarily tempered ultradistributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5561","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:30:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DnZtHLmqsJVX9Jj+N3bJ5l0gk4FuYOJxj4DEhpB8SfxUzlpm6NAH0V2nUY4sE4TQQTWE6dAii+oxlufebAHMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T02:21:02.468204Z"},"content_sha256":"858419edf6f918665c021aa4f72603d008d56bb08bb2aa998e9902e0bcc553c5","schema_version":"1.0","event_id":"sha256:858419edf6f918665c021aa4f72603d008d56bb08bb2aa998e9902e0bcc553c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FN5EVHK5YDUPG6HKZ5EAC42N2P/bundle.json","state_url":"https://pith.science/pith/FN5EVHK5YDUPG6HKZ5EAC42N2P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FN5EVHK5YDUPG6HKZ5EAC42N2P/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T02:21:02Z","links":{"resolver":"https://pith.science/pith/FN5EVHK5YDUPG6HKZ5EAC42N2P","bundle":"https://pith.science/pith/FN5EVHK5YDUPG6HKZ5EAC42N2P/bundle.json","state":"https://pith.science/pith/FN5EVHK5YDUPG6HKZ5EAC42N2P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FN5EVHK5YDUPG6HKZ5EAC42N2P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FN5EVHK5YDUPG6HKZ5EAC42N2P","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1ba7cfcb576ee53a2cddaf5a7993b0677be333a5620cb588b1dc8342ef59f49c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-22T09:58:37Z","title_canon_sha256":"aa0d60dbbd17d8e19ca0930dded3cc442fc5c4836d45a4c9cad20c3e1e335e6f"},"schema_version":"1.0","source":{"id":"1303.5561","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5561","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5561v1","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5561","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"pith_short_12","alias_value":"FN5EVHK5YDUP","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FN5EVHK5YDUPG6HK","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FN5EVHK5","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:858419edf6f918665c021aa4f72603d008d56bb08bb2aa998e9902e0bcc553c5","target":"graph","created_at":"2026-05-18T03:30:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The connection between the Anti-Wick and Weyl quantization is given for certain class of global symbols, which corresponding pseudodifferential operators act continuously on the space of tempered ultradistributions of Beurling, respectively, of Roumieu type. The largest subspace of ultradistributions is found for which the convolution with the gaussian kernel exist. This gives a way to extend the definition of Anti-Wick quantization for symbols that are not necessarily tempered ultradistributions.","authors_text":"Bojan Prangoski, Stevan Pilipovi\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-22T09:58:37Z","title":"Anti-Wick and Weyl quantization on ultradistribution spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5561","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3decc33b7f0b448a09a71efe596721605704359936aa7f95e3b48679004783f1","target":"record","created_at":"2026-05-18T03:30:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1ba7cfcb576ee53a2cddaf5a7993b0677be333a5620cb588b1dc8342ef59f49c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-22T09:58:37Z","title_canon_sha256":"aa0d60dbbd17d8e19ca0930dded3cc442fc5c4836d45a4c9cad20c3e1e335e6f"},"schema_version":"1.0","source":{"id":"1303.5561","kind":"arxiv","version":1}},"canonical_sha256":"2b7a4a9d5dc0e8f378eacf4801734dd3cd2d132c676d7c75102e6b80b99af5fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b7a4a9d5dc0e8f378eacf4801734dd3cd2d132c676d7c75102e6b80b99af5fb","first_computed_at":"2026-05-18T03:30:03.844170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:03.844170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KJYFDZ5jCEYETGjXUtmckk7A88P/5l58mopWcAsDSHKqBBPEjPfmeNW/5Sj/ShPSOwf02OJxFBCW7/6vFF/tCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:03.844837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5561","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3decc33b7f0b448a09a71efe596721605704359936aa7f95e3b48679004783f1","sha256:858419edf6f918665c021aa4f72603d008d56bb08bb2aa998e9902e0bcc553c5"],"state_sha256":"d0b6586be434bd7eaf9ea721114fe59ada9a314fa7511679d67497f7e2fd24eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BY+2tvpJV+28URaK8WbTC7773V7t8XKgke3RkAB9bHpmlnsUJP+Y72l3m1HRq538oec5H/iS2edrngyIKnI3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T02:21:02.470242Z","bundle_sha256":"3b26c829a39cbca1d21275ac86cd4fe9acda8ed2aa77ba69e0c1624829c772a9"}}