{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IMDTATHZFOPGVC263YZ5ZTZHE7","short_pith_number":"pith:IMDTATHZ","canonical_record":{"source":{"id":"1303.6064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T09:55:18Z","cross_cats_sorted":[],"title_canon_sha256":"991be0151f188d48690eb73fa4204fda875b9f0ad837ee25100f5a81c0cd6f40","abstract_canon_sha256":"15e1c0075fe37e68784e396bfc0f38e117beb629aa8daec01124fc247e524853"},"schema_version":"1.0"},"canonical_sha256":"4307304cf92b9e6a8b5ede33dccf2727c45b589c6e03dc2610f3ee7e6a4d5c8c","source":{"kind":"arxiv","id":"1303.6064","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6064","created_at":"2026-05-18T03:29:52Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6064v1","created_at":"2026-05-18T03:29:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6064","created_at":"2026-05-18T03:29:52Z"},{"alias_kind":"pith_short_12","alias_value":"IMDTATHZFOPG","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IMDTATHZFOPGVC26","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IMDTATHZ","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IMDTATHZFOPGVC263YZ5ZTZHE7","target":"record","payload":{"canonical_record":{"source":{"id":"1303.6064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T09:55:18Z","cross_cats_sorted":[],"title_canon_sha256":"991be0151f188d48690eb73fa4204fda875b9f0ad837ee25100f5a81c0cd6f40","abstract_canon_sha256":"15e1c0075fe37e68784e396bfc0f38e117beb629aa8daec01124fc247e524853"},"schema_version":"1.0"},"canonical_sha256":"4307304cf92b9e6a8b5ede33dccf2727c45b589c6e03dc2610f3ee7e6a4d5c8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:52.055588Z","signature_b64":"L8olleunp9097wN5Ol+fLdNPhK1hcPVOIJlani+UMP8wTLxgoZb63zStkcSI7d7ZiNpRKzoYpmk/dAGZXY0iDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4307304cf92b9e6a8b5ede33dccf2727c45b589c6e03dc2610f3ee7e6a4d5c8c","last_reissued_at":"2026-05-18T03:29:52.054754Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:52.054754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.6064","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":"2026-05-18T03:29:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1W+Ub3uLSSbq618WXoAqcFSZpWBNmZxZxO5Mze6W7IJEq/ynodvAt0RrwXEQL5nX8S/AcNMGiGYmtWyCT2dYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:04:26.158697Z"},"content_sha256":"868694558a5281fc6070507543b1317485effec1faa60d7834f044bdb9122bd3","schema_version":"1.0","event_id":"sha256:868694558a5281fc6070507543b1317485effec1faa60d7834f044bdb9122bd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IMDTATHZFOPGVC263YZ5ZTZHE7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pseudodifferential operators of infinite order in spaces of tempered ultradistributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bojan Prangoski","submitted_at":"2013-03-25T09:55:18Z","abstract_excerpt":"Specific global symbol classes and corresponding pseudodifferential operators of infinite order that act continuously on the space of tempered ultradistributions of Beurling and Roumieu type are constructed. For these classes, symbolic calculus is developed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6064","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":"2026-05-18T03:29:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vHaBmIAyxEpIvFvqHU8AUjZ6JAbf8i9Ehx7CAjoVlJh7bMHSc7C4kFpadtWiwDV6nxpv/yFH1i8QUpSH1tJiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:04:26.159037Z"},"content_sha256":"c0df8acd346283c315e4b6bcd62f9474186ec27766a2e6d4ce1ab5be67fe1d94","schema_version":"1.0","event_id":"sha256:c0df8acd346283c315e4b6bcd62f9474186ec27766a2e6d4ce1ab5be67fe1d94"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IMDTATHZFOPGVC263YZ5ZTZHE7/bundle.json","state_url":"https://pith.science/pith/IMDTATHZFOPGVC263YZ5ZTZHE7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IMDTATHZFOPGVC263YZ5ZTZHE7/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":"2026-06-21T23:04:26Z","links":{"resolver":"https://pith.science/pith/IMDTATHZFOPGVC263YZ5ZTZHE7","bundle":"https://pith.science/pith/IMDTATHZFOPGVC263YZ5ZTZHE7/bundle.json","state":"https://pith.science/pith/IMDTATHZFOPGVC263YZ5ZTZHE7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IMDTATHZFOPGVC263YZ5ZTZHE7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IMDTATHZFOPGVC263YZ5ZTZHE7","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":"15e1c0075fe37e68784e396bfc0f38e117beb629aa8daec01124fc247e524853","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T09:55:18Z","title_canon_sha256":"991be0151f188d48690eb73fa4204fda875b9f0ad837ee25100f5a81c0cd6f40"},"schema_version":"1.0","source":{"id":"1303.6064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6064","created_at":"2026-05-18T03:29:52Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6064v1","created_at":"2026-05-18T03:29:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6064","created_at":"2026-05-18T03:29:52Z"},{"alias_kind":"pith_short_12","alias_value":"IMDTATHZFOPG","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IMDTATHZFOPGVC26","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IMDTATHZ","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:c0df8acd346283c315e4b6bcd62f9474186ec27766a2e6d4ce1ab5be67fe1d94","target":"graph","created_at":"2026-05-18T03:29:52Z","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":"Specific global symbol classes and corresponding pseudodifferential operators of infinite order that act continuously on the space of tempered ultradistributions of Beurling and Roumieu type are constructed. For these classes, symbolic calculus is developed.","authors_text":"Bojan Prangoski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T09:55:18Z","title":"Pseudodifferential operators of infinite order in spaces of tempered ultradistributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6064","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":"sha256:868694558a5281fc6070507543b1317485effec1faa60d7834f044bdb9122bd3","target":"record","created_at":"2026-05-18T03:29:52Z","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":"15e1c0075fe37e68784e396bfc0f38e117beb629aa8daec01124fc247e524853","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T09:55:18Z","title_canon_sha256":"991be0151f188d48690eb73fa4204fda875b9f0ad837ee25100f5a81c0cd6f40"},"schema_version":"1.0","source":{"id":"1303.6064","kind":"arxiv","version":1}},"canonical_sha256":"4307304cf92b9e6a8b5ede33dccf2727c45b589c6e03dc2610f3ee7e6a4d5c8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4307304cf92b9e6a8b5ede33dccf2727c45b589c6e03dc2610f3ee7e6a4d5c8c","first_computed_at":"2026-05-18T03:29:52.054754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:52.054754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L8olleunp9097wN5Ol+fLdNPhK1hcPVOIJlani+UMP8wTLxgoZb63zStkcSI7d7ZiNpRKzoYpmk/dAGZXY0iDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:52.055588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:868694558a5281fc6070507543b1317485effec1faa60d7834f044bdb9122bd3","sha256:c0df8acd346283c315e4b6bcd62f9474186ec27766a2e6d4ce1ab5be67fe1d94"],"state_sha256":"186c2bd99d347ede8b7c2645121318fa0c6cb3358a9fce4f9e291f3eb18afd21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WJfxWq2Bm0a4Jm4bAdD35Gj4Ao2VPFsOfKOViDwLt01MtbIOo25yYpsIardX71nw+CNjQGaXX7rFAz6mVFMUBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T23:04:26.160982Z","bundle_sha256":"57f16160c46f08844f098ab1d12f59b90a255ce3d945003031ea4bb556587ea0"}}