{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ITBLYQZXBNNLLTECIA7DYLEN7H","short_pith_number":"pith:ITBLYQZX","canonical_record":{"source":{"id":"1904.01956","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-02T10:20:29Z","cross_cats_sorted":[],"title_canon_sha256":"e2ceb1ecea8b9d824b7bd41b62100398e334a23d99722f39770beacbc161efbb","abstract_canon_sha256":"ce28bdb160ff1d94e54090b474b240d36a61673d284ce8db506ae0a29be73d2d"},"schema_version":"1.0"},"canonical_sha256":"44c2bc43370b5ab5cc82403e3c2c8df9d89051eb56462b661a258f3a90a0727e","source":{"kind":"arxiv","id":"1904.01956","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.01956","created_at":"2026-05-17T23:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"1904.01956v1","created_at":"2026-05-17T23:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.01956","created_at":"2026-05-17T23:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"ITBLYQZXBNNL","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"ITBLYQZXBNNLLTEC","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"ITBLYQZX","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ITBLYQZXBNNLLTECIA7DYLEN7H","target":"record","payload":{"canonical_record":{"source":{"id":"1904.01956","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-02T10:20:29Z","cross_cats_sorted":[],"title_canon_sha256":"e2ceb1ecea8b9d824b7bd41b62100398e334a23d99722f39770beacbc161efbb","abstract_canon_sha256":"ce28bdb160ff1d94e54090b474b240d36a61673d284ce8db506ae0a29be73d2d"},"schema_version":"1.0"},"canonical_sha256":"44c2bc43370b5ab5cc82403e3c2c8df9d89051eb56462b661a258f3a90a0727e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:29.151496Z","signature_b64":"qAXF95D/ywWFRRE9ZQ2zGAHlDAaTTaLOdfEP28uG361NQ6ZgitLJXfiEma+Xr1voaHeybsWTlq3yIJcxSGFIBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44c2bc43370b5ab5cc82403e3c2c8df9d89051eb56462b661a258f3a90a0727e","last_reissued_at":"2026-05-17T23:49:29.150822Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:29.150822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.01956","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":"2026-05-17T23:49:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TvgRlzu4Dzlzh9g6CG3BNEKJV4l7KkkC5iDvLDzFvMUyoL9pidZzgCTcY2A219PZIbPZ1Zt2Si+KL8PubNQCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:57:12.165591Z"},"content_sha256":"af57d7d47177ad0f4838cd1ec10833febd66ea6bb794f67c2e4d66cf9d3da1a0","schema_version":"1.0","event_id":"sha256:af57d7d47177ad0f4838cd1ec10833febd66ea6bb794f67c2e4d66cf9d3da1a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ITBLYQZXBNNLLTECIA7DYLEN7H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some complexity measures in confined isotropic harmonic oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Amlan K. Roy, Neetik Mukherjee","submitted_at":"2019-04-02T10:20:29Z","abstract_excerpt":"Various well-known statistical measures like \\emph{L\\'opez-Ruiz, Mancini, Calbet} (LMC) and \\emph{Fisher-Shannon} complexity have been explored for confined isotropic harmonic oscillator (CHO) in composite position ($r$) and momentum ($p$) spaces. To get a deeper insight about CHO, a more generalized form of these quantities with R\\'enyi entropy ($R$) is invoked here. The importance of scaling parameter in the exponential part is also investigated. $R$ is estimated considering order of entropic moments $\\alpha, \\beta$ as $(\\frac{2}{3},3)$ in $r$ and $p$ spaces respectively. Explicit results of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.01956","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":"2026-05-17T23:49:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rynff8I5FvnXCu3wdPTo+65OjPcXzm9b5J0fa1NaBb8RDZfP0YZx4JfMuKwNqqKT+dFckXvOJSgVcqHZfYNUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:57:12.166392Z"},"content_sha256":"56fb8789cc41d3b246f295ccba5d69e00eef9fa03a028245ee3460f09749d352","schema_version":"1.0","event_id":"sha256:56fb8789cc41d3b246f295ccba5d69e00eef9fa03a028245ee3460f09749d352"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ITBLYQZXBNNLLTECIA7DYLEN7H/bundle.json","state_url":"https://pith.science/pith/ITBLYQZXBNNLLTECIA7DYLEN7H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ITBLYQZXBNNLLTECIA7DYLEN7H/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":"2026-06-07T16:57:12Z","links":{"resolver":"https://pith.science/pith/ITBLYQZXBNNLLTECIA7DYLEN7H","bundle":"https://pith.science/pith/ITBLYQZXBNNLLTECIA7DYLEN7H/bundle.json","state":"https://pith.science/pith/ITBLYQZXBNNLLTECIA7DYLEN7H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ITBLYQZXBNNLLTECIA7DYLEN7H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ITBLYQZXBNNLLTECIA7DYLEN7H","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":"ce28bdb160ff1d94e54090b474b240d36a61673d284ce8db506ae0a29be73d2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-02T10:20:29Z","title_canon_sha256":"e2ceb1ecea8b9d824b7bd41b62100398e334a23d99722f39770beacbc161efbb"},"schema_version":"1.0","source":{"id":"1904.01956","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.01956","created_at":"2026-05-17T23:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"1904.01956v1","created_at":"2026-05-17T23:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.01956","created_at":"2026-05-17T23:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"ITBLYQZXBNNL","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"ITBLYQZXBNNLLTEC","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"ITBLYQZX","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:56fb8789cc41d3b246f295ccba5d69e00eef9fa03a028245ee3460f09749d352","target":"graph","created_at":"2026-05-17T23:49:29Z","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":"Various well-known statistical measures like \\emph{L\\'opez-Ruiz, Mancini, Calbet} (LMC) and \\emph{Fisher-Shannon} complexity have been explored for confined isotropic harmonic oscillator (CHO) in composite position ($r$) and momentum ($p$) spaces. To get a deeper insight about CHO, a more generalized form of these quantities with R\\'enyi entropy ($R$) is invoked here. The importance of scaling parameter in the exponential part is also investigated. $R$ is estimated considering order of entropic moments $\\alpha, \\beta$ as $(\\frac{2}{3},3)$ in $r$ and $p$ spaces respectively. Explicit results of","authors_text":"Amlan K. Roy, Neetik Mukherjee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-02T10:20:29Z","title":"Some complexity measures in confined isotropic harmonic oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.01956","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:af57d7d47177ad0f4838cd1ec10833febd66ea6bb794f67c2e4d66cf9d3da1a0","target":"record","created_at":"2026-05-17T23:49:29Z","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":"ce28bdb160ff1d94e54090b474b240d36a61673d284ce8db506ae0a29be73d2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-02T10:20:29Z","title_canon_sha256":"e2ceb1ecea8b9d824b7bd41b62100398e334a23d99722f39770beacbc161efbb"},"schema_version":"1.0","source":{"id":"1904.01956","kind":"arxiv","version":1}},"canonical_sha256":"44c2bc43370b5ab5cc82403e3c2c8df9d89051eb56462b661a258f3a90a0727e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44c2bc43370b5ab5cc82403e3c2c8df9d89051eb56462b661a258f3a90a0727e","first_computed_at":"2026-05-17T23:49:29.150822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:29.150822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qAXF95D/ywWFRRE9ZQ2zGAHlDAaTTaLOdfEP28uG361NQ6ZgitLJXfiEma+Xr1voaHeybsWTlq3yIJcxSGFIBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:29.151496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.01956","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af57d7d47177ad0f4838cd1ec10833febd66ea6bb794f67c2e4d66cf9d3da1a0","sha256:56fb8789cc41d3b246f295ccba5d69e00eef9fa03a028245ee3460f09749d352"],"state_sha256":"6d8441e86d44a6c088325e74c845031077cb3170407f3b512f90a129b4adce7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BHyzMLPkzCnxvG7nlEqYwj8X7WD2R8MFM9wVtgm27BHkpnCDxoWO51MGSFMuIfXcIRz+O8OmLZekuy7VkEvXCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:57:12.170832Z","bundle_sha256":"b618d3e18fef24a7903bf61efdd59930f0026a5b345cac7e1e6a70e56b2e6424"}}