{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JL42X7XE6H63FZ4LBKO3TDPERO","short_pith_number":"pith:JL42X7XE","canonical_record":{"source":{"id":"1502.04998","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-17T18:48:45Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"e1da436d143b70116739839f9375ad6d1bcecb7cdbf45f7daf06fd50ad8fea2f","abstract_canon_sha256":"bc736c99ced146033d12404877c2bd75f27537e775c19aee40f9ce540b4145e1"},"schema_version":"1.0"},"canonical_sha256":"4af9abfee4f1fdb2e78b0a9db98de48b94b7c156dd4bbe9a90d1e7ab2e52e62d","source":{"kind":"arxiv","id":"1502.04998","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04998","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04998v4","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04998","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"pith_short_12","alias_value":"JL42X7XE6H63","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JL42X7XE6H63FZ4L","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JL42X7XE","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JL42X7XE6H63FZ4LBKO3TDPERO","target":"record","payload":{"canonical_record":{"source":{"id":"1502.04998","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-17T18:48:45Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"e1da436d143b70116739839f9375ad6d1bcecb7cdbf45f7daf06fd50ad8fea2f","abstract_canon_sha256":"bc736c99ced146033d12404877c2bd75f27537e775c19aee40f9ce540b4145e1"},"schema_version":"1.0"},"canonical_sha256":"4af9abfee4f1fdb2e78b0a9db98de48b94b7c156dd4bbe9a90d1e7ab2e52e62d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:40.718293Z","signature_b64":"p4UY+YAv546oJBrc9pBOs61711TUWH6hxNBL8T2zOR7WiLDgUTtQCf3naTU5YKLR9CsPOLt2Q+Y7CvqioLURBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4af9abfee4f1fdb2e78b0a9db98de48b94b7c156dd4bbe9a90d1e7ab2e52e62d","last_reissued_at":"2026-05-18T01:00:40.717764Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:40.717764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.04998","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:00:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"soQtEa6HF0u5f+oj0PeHmFCdeaWu/MQFhF6RIxbDffMz3rjmTjVt9nLd36rwMwi6WDy4pWltFUcF8LOSgjEwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:04:06.330450Z"},"content_sha256":"9618c159a2efbce83f991e8e9faf73e97e3aa7543abe825415b09dbf36dfe71f","schema_version":"1.0","event_id":"sha256:9618c159a2efbce83f991e8e9faf73e97e3aa7543abe825415b09dbf36dfe71f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JL42X7XE6H63FZ4LBKO3TDPERO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Angular Momentum Dilemma and Born-Jordan Quantization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.OA"],"primary_cat":"quant-ph","authors_text":"Maurice A. de Gosson","submitted_at":"2015-02-17T18:48:45Z","abstract_excerpt":"We have shown in previous work that the rigorous equivalence of the Schr\\\"odinger and Heisenberg pictures requires that one uses Born-Jordan quantization in place of Weyl quantization. It also turns out that the so-called Dahl-Springborg angular momentum dilemma disappears if one uses Born--Jordan quantization. These two facts strongly suggest that the latter is the only true quantization procedure, and this leads to a redefinition of phase space quantum mechanics, where the usual Wigner distribution has to be replaced with a new distribution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04998","kind":"arxiv","version":4},"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":"2026-05-18T01:00:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vWfBVzs6oNkJW1NxTK5OfdDSK2p/6I6W5MHfsiw9oeONdbDTPq4vtWotDXbhaO3ri4YZ5XoYLzq0A7BdRby/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:04:06.330806Z"},"content_sha256":"2e59efc1c89f331a20f4b451d6522721914f081e91fb13b962b43b9cdfd6cc1c","schema_version":"1.0","event_id":"sha256:2e59efc1c89f331a20f4b451d6522721914f081e91fb13b962b43b9cdfd6cc1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JL42X7XE6H63FZ4LBKO3TDPERO/bundle.json","state_url":"https://pith.science/pith/JL42X7XE6H63FZ4LBKO3TDPERO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JL42X7XE6H63FZ4LBKO3TDPERO/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":"2026-06-02T01:04:06Z","links":{"resolver":"https://pith.science/pith/JL42X7XE6H63FZ4LBKO3TDPERO","bundle":"https://pith.science/pith/JL42X7XE6H63FZ4LBKO3TDPERO/bundle.json","state":"https://pith.science/pith/JL42X7XE6H63FZ4LBKO3TDPERO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JL42X7XE6H63FZ4LBKO3TDPERO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JL42X7XE6H63FZ4LBKO3TDPERO","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":"bc736c99ced146033d12404877c2bd75f27537e775c19aee40f9ce540b4145e1","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-17T18:48:45Z","title_canon_sha256":"e1da436d143b70116739839f9375ad6d1bcecb7cdbf45f7daf06fd50ad8fea2f"},"schema_version":"1.0","source":{"id":"1502.04998","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04998","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04998v4","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04998","created_at":"2026-05-18T01:00:40Z"},{"alias_kind":"pith_short_12","alias_value":"JL42X7XE6H63","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JL42X7XE6H63FZ4L","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JL42X7XE","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:2e59efc1c89f331a20f4b451d6522721914f081e91fb13b962b43b9cdfd6cc1c","target":"graph","created_at":"2026-05-18T01:00:40Z","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":"We have shown in previous work that the rigorous equivalence of the Schr\\\"odinger and Heisenberg pictures requires that one uses Born-Jordan quantization in place of Weyl quantization. It also turns out that the so-called Dahl-Springborg angular momentum dilemma disappears if one uses Born--Jordan quantization. These two facts strongly suggest that the latter is the only true quantization procedure, and this leads to a redefinition of phase space quantum mechanics, where the usual Wigner distribution has to be replaced with a new distribution.","authors_text":"Maurice A. de Gosson","cross_cats":["math-ph","math.MP","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-17T18:48:45Z","title":"The Angular Momentum Dilemma and Born-Jordan Quantization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04998","kind":"arxiv","version":4},"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":"sha256:9618c159a2efbce83f991e8e9faf73e97e3aa7543abe825415b09dbf36dfe71f","target":"record","created_at":"2026-05-18T01:00:40Z","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":"bc736c99ced146033d12404877c2bd75f27537e775c19aee40f9ce540b4145e1","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-17T18:48:45Z","title_canon_sha256":"e1da436d143b70116739839f9375ad6d1bcecb7cdbf45f7daf06fd50ad8fea2f"},"schema_version":"1.0","source":{"id":"1502.04998","kind":"arxiv","version":4}},"canonical_sha256":"4af9abfee4f1fdb2e78b0a9db98de48b94b7c156dd4bbe9a90d1e7ab2e52e62d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4af9abfee4f1fdb2e78b0a9db98de48b94b7c156dd4bbe9a90d1e7ab2e52e62d","first_computed_at":"2026-05-18T01:00:40.717764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:40.717764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p4UY+YAv546oJBrc9pBOs61711TUWH6hxNBL8T2zOR7WiLDgUTtQCf3naTU5YKLR9CsPOLt2Q+Y7CvqioLURBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:40.718293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.04998","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9618c159a2efbce83f991e8e9faf73e97e3aa7543abe825415b09dbf36dfe71f","sha256:2e59efc1c89f331a20f4b451d6522721914f081e91fb13b962b43b9cdfd6cc1c"],"state_sha256":"ae0ce28772eb28b3af296a11fbc2ce4804390f4392081b96c66552a5c8223231"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xbiyUaTSixOfqCBm/RjiE6RcDJRAfdlgW4fPn5mES1LJxCpPORVpL2xTOrsm44jC9fB1YRIDJh2eMSjmXDudAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:04:06.332859Z","bundle_sha256":"3e49249d6857adecbbfc4a9bdd516a26ac81795e2b3e7c1e16ffe43e7c0d5eed"}}