{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:XD4727LZDFTIANGTE6UFM6RKWD","short_pith_number":"pith:XD4727LZ","canonical_record":{"source":{"id":"2205.08538","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-17T04:20:16Z","cross_cats_sorted":["physics.hist-ph"],"title_canon_sha256":"925c3bfa45231cc7e2eff59e0187194bedda852a07b272bf765dea9afb2356e3","abstract_canon_sha256":"60640500de7059c822e5b8956935b8783a6ea937cd30f512cdea925eaf00daa5"},"schema_version":"1.0"},"canonical_sha256":"b8f9fd7d7919668034d327a8567a2ab0d811dbf84ca800e83856b60df5b89730","source":{"kind":"arxiv","id":"2205.08538","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.08538","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"arxiv_version","alias_value":"2205.08538v4","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08538","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"pith_short_12","alias_value":"XD4727LZDFTI","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"pith_short_16","alias_value":"XD4727LZDFTIANGT","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"pith_short_8","alias_value":"XD4727LZ","created_at":"2026-07-05T07:18:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:XD4727LZDFTIANGTE6UFM6RKWD","target":"record","payload":{"canonical_record":{"source":{"id":"2205.08538","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-17T04:20:16Z","cross_cats_sorted":["physics.hist-ph"],"title_canon_sha256":"925c3bfa45231cc7e2eff59e0187194bedda852a07b272bf765dea9afb2356e3","abstract_canon_sha256":"60640500de7059c822e5b8956935b8783a6ea937cd30f512cdea925eaf00daa5"},"schema_version":"1.0"},"canonical_sha256":"b8f9fd7d7919668034d327a8567a2ab0d811dbf84ca800e83856b60df5b89730","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:18:08.145947Z","signature_b64":"DXj1oK5f15YQ6h4PLIp1Bwm2tRYiGq3c0gq+gJ1w7cvKVghnN3XsUIEYw3KAqu55lpgLiZIAmeex59vv+GcxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8f9fd7d7919668034d327a8567a2ab0d811dbf84ca800e83856b60df5b89730","last_reissued_at":"2026-07-05T07:18:08.145446Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:18:08.145446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.08538","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":"2026-07-05T07:18:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qFBedVnN/kA0aqVFnNn7i+yfJY2KZWbyulfTcexOWAcofoSUuoGtNHwARjmiOGL5D/iawCIMCyn0f303yJV4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:04:48.123232Z"},"content_sha256":"e4206081497e6a0c205d7a8047514469eca031510c3e3289e9cdee527e59ab14","schema_version":"1.0","event_id":"sha256:e4206081497e6a0c205d7a8047514469eca031510c3e3289e9cdee527e59ab14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:XD4727LZDFTIANGTE6UFM6RKWD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Highlighting relations between Wave-particle duality, Uncertainty principle, Phase space and Microstates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.hist-ph"],"primary_cat":"quant-ph","authors_text":"Hanitriarivo Rakotoson, Jacqueline Rabesahala Raoelina Andriambololona, Lala Rarivomanantsoa, Naivo Rabesiranana, Nirina Gilbert Rasolofoson, Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Voriraza S\\'eraphin Hejesoa","submitted_at":"2022-05-17T04:20:16Z","abstract_excerpt":"Wave-particle duality is often considered as the modern answer to the problem of the nature of light after more than 2000 years of questioning. It is also the answer given by quantum physics concerning the nature of matter particles and any other radiations. The main objective of this work is to analyze the relations that are existing between this concept of wave-particle duality, the uncertainty principle and the concepts of phase space and microstates considered in statistical mechanics. It is mainly highlighted that while the concepts of phase space and microstates were already introduced i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08538","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.08538/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:18:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6F3fE6CsVbu0lQMp4wQ5/nqSmEoxrQfx9Muf06Fj9L7CI9ApXmbnpY+5QYYIac/x1D2qfXEcUOeBjwUzoqcZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:04:48.124169Z"},"content_sha256":"f9b7d026c1ec474001ee0f7da7dca3ffc3dba550778cd279f3cab8b6912eee0d","schema_version":"1.0","event_id":"sha256:f9b7d026c1ec474001ee0f7da7dca3ffc3dba550778cd279f3cab8b6912eee0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XD4727LZDFTIANGTE6UFM6RKWD/bundle.json","state_url":"https://pith.science/pith/XD4727LZDFTIANGTE6UFM6RKWD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XD4727LZDFTIANGTE6UFM6RKWD/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":"2026-08-04T06:04:48Z","links":{"resolver":"https://pith.science/pith/XD4727LZDFTIANGTE6UFM6RKWD","bundle":"https://pith.science/pith/XD4727LZDFTIANGTE6UFM6RKWD/bundle.json","state":"https://pith.science/pith/XD4727LZDFTIANGTE6UFM6RKWD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XD4727LZDFTIANGTE6UFM6RKWD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:XD4727LZDFTIANGTE6UFM6RKWD","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":"60640500de7059c822e5b8956935b8783a6ea937cd30f512cdea925eaf00daa5","cross_cats_sorted":["physics.hist-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-17T04:20:16Z","title_canon_sha256":"925c3bfa45231cc7e2eff59e0187194bedda852a07b272bf765dea9afb2356e3"},"schema_version":"1.0","source":{"id":"2205.08538","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.08538","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"arxiv_version","alias_value":"2205.08538v4","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08538","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"pith_short_12","alias_value":"XD4727LZDFTI","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"pith_short_16","alias_value":"XD4727LZDFTIANGT","created_at":"2026-07-05T07:18:08Z"},{"alias_kind":"pith_short_8","alias_value":"XD4727LZ","created_at":"2026-07-05T07:18:08Z"}],"graph_snapshots":[{"event_id":"sha256:f9b7d026c1ec474001ee0f7da7dca3ffc3dba550778cd279f3cab8b6912eee0d","target":"graph","created_at":"2026-07-05T07:18:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2205.08538/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Wave-particle duality is often considered as the modern answer to the problem of the nature of light after more than 2000 years of questioning. It is also the answer given by quantum physics concerning the nature of matter particles and any other radiations. The main objective of this work is to analyze the relations that are existing between this concept of wave-particle duality, the uncertainty principle and the concepts of phase space and microstates considered in statistical mechanics. It is mainly highlighted that while the concepts of phase space and microstates were already introduced i","authors_text":"Hanitriarivo Rakotoson, Jacqueline Rabesahala Raoelina Andriambololona, Lala Rarivomanantsoa, Naivo Rabesiranana, Nirina Gilbert Rasolofoson, Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Voriraza S\\'eraphin Hejesoa","cross_cats":["physics.hist-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-17T04:20:16Z","title":"Highlighting relations between Wave-particle duality, Uncertainty principle, Phase space and Microstates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08538","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:e4206081497e6a0c205d7a8047514469eca031510c3e3289e9cdee527e59ab14","target":"record","created_at":"2026-07-05T07:18:08Z","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":"60640500de7059c822e5b8956935b8783a6ea937cd30f512cdea925eaf00daa5","cross_cats_sorted":["physics.hist-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-17T04:20:16Z","title_canon_sha256":"925c3bfa45231cc7e2eff59e0187194bedda852a07b272bf765dea9afb2356e3"},"schema_version":"1.0","source":{"id":"2205.08538","kind":"arxiv","version":4}},"canonical_sha256":"b8f9fd7d7919668034d327a8567a2ab0d811dbf84ca800e83856b60df5b89730","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8f9fd7d7919668034d327a8567a2ab0d811dbf84ca800e83856b60df5b89730","first_computed_at":"2026-07-05T07:18:08.145446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:18:08.145446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DXj1oK5f15YQ6h4PLIp1Bwm2tRYiGq3c0gq+gJ1w7cvKVghnN3XsUIEYw3KAqu55lpgLiZIAmeex59vv+GcxCw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:18:08.145947Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.08538","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4206081497e6a0c205d7a8047514469eca031510c3e3289e9cdee527e59ab14","sha256:f9b7d026c1ec474001ee0f7da7dca3ffc3dba550778cd279f3cab8b6912eee0d"],"state_sha256":"90e303be74eb6399aaa617aec38209101b801cd34092354cdbf62572595f0088"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ik4Oipp9RXFZ1jb8z2nn0Q3/4qTQ3fkObFMSNQCC2vYquKnsSGpcNaFZDI4kOF72ISZPaF8kqHgN0IqgHxKoAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T06:04:48.130708Z","bundle_sha256":"0851f6f275e5e47e32d2f319cf8818595864d19a2d9e9b6d19bcf03d0e9c76ae"}}