{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:W5Y2OUKMSVU3SV5H5PV3SGPEDB","short_pith_number":"pith:W5Y2OUKM","canonical_record":{"source":{"id":"2110.15711","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2021-10-05T01:43:02Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"1eb81734689de372863cfc7226350a7bec582ddb6e5a418a5417a9d56209ad84","abstract_canon_sha256":"ecd9d130fa9f9c599bfe044d4a9e04cc49c53e9e77cf83f853b732d4d373ba64"},"schema_version":"1.0"},"canonical_sha256":"b771a7514c9569b957a7ebebb919e418646a28e3c8ee56ab333432f7d5e37b36","source":{"kind":"arxiv","id":"2110.15711","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.15711","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"arxiv_version","alias_value":"2110.15711v1","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.15711","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"pith_short_12","alias_value":"W5Y2OUKMSVU3","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"pith_short_16","alias_value":"W5Y2OUKMSVU3SV5H","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"pith_short_8","alias_value":"W5Y2OUKM","created_at":"2026-07-05T03:27:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:W5Y2OUKMSVU3SV5H5PV3SGPEDB","target":"record","payload":{"canonical_record":{"source":{"id":"2110.15711","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2021-10-05T01:43:02Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"1eb81734689de372863cfc7226350a7bec582ddb6e5a418a5417a9d56209ad84","abstract_canon_sha256":"ecd9d130fa9f9c599bfe044d4a9e04cc49c53e9e77cf83f853b732d4d373ba64"},"schema_version":"1.0"},"canonical_sha256":"b771a7514c9569b957a7ebebb919e418646a28e3c8ee56ab333432f7d5e37b36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:27:13.137701Z","signature_b64":"j9ORrVAUU7kLFjVj/1GWrBHYEbcqmFSFHC5oGYZgmlt86IMJdr4/81kmC7WoT6LWm8VllHR0kt/bxvkvkTKvBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b771a7514c9569b957a7ebebb919e418646a28e3c8ee56ab333432f7d5e37b36","last_reissued_at":"2026-07-05T03:27:13.137280Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:27:13.137280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2110.15711","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":"2026-07-05T03:27:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+sLDBDa4USsqEOLabICR+A+TfiEHii3J0VRYzF+QJK67t41gNPoDHlrtq8qktLCIWoSm5VHW7iqHOuBE9FfCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T00:10:22.069592Z"},"content_sha256":"ec6f4465a2b55ea41954e01ddc76240ad757040b65abe6a7df1c766930db0dc9","schema_version":"1.0","event_id":"sha256:ec6f4465a2b55ea41954e01ddc76240ad757040b65abe6a7df1c766930db0dc9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:W5Y2OUKMSVU3SV5H5PV3SGPEDB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Study of geometric phase using classical coupled oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.ed-ph","authors_text":"Ashok K Mohapatra, Biprateep Dey, Sharba Bhattacharjee","submitted_at":"2021-10-05T01:43:02Z","abstract_excerpt":"We illustrate the geometric phase associated with the cyclic dynamics of a classical system of coupled oscillators. We use an analogy between a classical coupled oscillator and a two-state quantum mechanical system to represent the evolution of the oscillator on an equivalent Hilbert space, which may be represented as a trajectory on the surface of a sphere. The cyclic evolution of the system leads to a change in phase, which consists of a dynamic phase along with an additional phase shift dependent on the geometry of the evolution. A simple experiment suitable for advanced undergraduate stude"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.15711","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.15711/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":"2026-07-05T03:27:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jjmSw4nxmtlef6T/tuO7deY4Ryn4Mjqf4XLyBvy/GcwsD0+9+rItGfOQORgLdyK2Fe9Io1nMviTNbTUdVpMrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T00:10:22.070120Z"},"content_sha256":"49fab16787e1cee49d4b5d0d8b605520bdcba34ac306752c1cdd371f7c27a7d8","schema_version":"1.0","event_id":"sha256:49fab16787e1cee49d4b5d0d8b605520bdcba34ac306752c1cdd371f7c27a7d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W5Y2OUKMSVU3SV5H5PV3SGPEDB/bundle.json","state_url":"https://pith.science/pith/W5Y2OUKMSVU3SV5H5PV3SGPEDB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W5Y2OUKMSVU3SV5H5PV3SGPEDB/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":"2026-08-07T00:10:22Z","links":{"resolver":"https://pith.science/pith/W5Y2OUKMSVU3SV5H5PV3SGPEDB","bundle":"https://pith.science/pith/W5Y2OUKMSVU3SV5H5PV3SGPEDB/bundle.json","state":"https://pith.science/pith/W5Y2OUKMSVU3SV5H5PV3SGPEDB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W5Y2OUKMSVU3SV5H5PV3SGPEDB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:W5Y2OUKMSVU3SV5H5PV3SGPEDB","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":"ecd9d130fa9f9c599bfe044d4a9e04cc49c53e9e77cf83f853b732d4d373ba64","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2021-10-05T01:43:02Z","title_canon_sha256":"1eb81734689de372863cfc7226350a7bec582ddb6e5a418a5417a9d56209ad84"},"schema_version":"1.0","source":{"id":"2110.15711","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.15711","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"arxiv_version","alias_value":"2110.15711v1","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.15711","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"pith_short_12","alias_value":"W5Y2OUKMSVU3","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"pith_short_16","alias_value":"W5Y2OUKMSVU3SV5H","created_at":"2026-07-05T03:27:13Z"},{"alias_kind":"pith_short_8","alias_value":"W5Y2OUKM","created_at":"2026-07-05T03:27:13Z"}],"graph_snapshots":[{"event_id":"sha256:49fab16787e1cee49d4b5d0d8b605520bdcba34ac306752c1cdd371f7c27a7d8","target":"graph","created_at":"2026-07-05T03:27:13Z","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/2110.15711/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We illustrate the geometric phase associated with the cyclic dynamics of a classical system of coupled oscillators. We use an analogy between a classical coupled oscillator and a two-state quantum mechanical system to represent the evolution of the oscillator on an equivalent Hilbert space, which may be represented as a trajectory on the surface of a sphere. The cyclic evolution of the system leads to a change in phase, which consists of a dynamic phase along with an additional phase shift dependent on the geometry of the evolution. A simple experiment suitable for advanced undergraduate stude","authors_text":"Ashok K Mohapatra, Biprateep Dey, Sharba Bhattacharjee","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2021-10-05T01:43:02Z","title":"Study of geometric phase using classical coupled oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.15711","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:ec6f4465a2b55ea41954e01ddc76240ad757040b65abe6a7df1c766930db0dc9","target":"record","created_at":"2026-07-05T03:27:13Z","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":"ecd9d130fa9f9c599bfe044d4a9e04cc49c53e9e77cf83f853b732d4d373ba64","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2021-10-05T01:43:02Z","title_canon_sha256":"1eb81734689de372863cfc7226350a7bec582ddb6e5a418a5417a9d56209ad84"},"schema_version":"1.0","source":{"id":"2110.15711","kind":"arxiv","version":1}},"canonical_sha256":"b771a7514c9569b957a7ebebb919e418646a28e3c8ee56ab333432f7d5e37b36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b771a7514c9569b957a7ebebb919e418646a28e3c8ee56ab333432f7d5e37b36","first_computed_at":"2026-07-05T03:27:13.137280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:27:13.137280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j9ORrVAUU7kLFjVj/1GWrBHYEbcqmFSFHC5oGYZgmlt86IMJdr4/81kmC7WoT6LWm8VllHR0kt/bxvkvkTKvBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:27:13.137701Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.15711","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec6f4465a2b55ea41954e01ddc76240ad757040b65abe6a7df1c766930db0dc9","sha256:49fab16787e1cee49d4b5d0d8b605520bdcba34ac306752c1cdd371f7c27a7d8"],"state_sha256":"b8d824d6ee56b92126bf62090aab473a613b625ba7a8b1921958b205b7813f70"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4WgEggB5eCxtc8N9VsNJFC/9XC45P7r77H0VIpjXSq5NpB+pBwlTZXpsizDH79iCBqVnq63+vpBOZaR9iJm6Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T00:10:22.075372Z","bundle_sha256":"adecd52a9262b01d4d510f798c6b431a14916a6e0d42f2723b831f61c20a9b29"}}