{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:7TZIRHQKF5OTN6ISZWOHHUQJU7","short_pith_number":"pith:7TZIRHQK","canonical_record":{"source":{"id":"1904.06066","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-12T07:04:37Z","cross_cats_sorted":[],"title_canon_sha256":"32f3db36469a033a2cad81be8108af32f97dddd44b291ea5d5e0e402c173b8af","abstract_canon_sha256":"65c7c463d1624185572494868506574bc8c640412f22f755467e5ca9f82a0dbe"},"schema_version":"1.0"},"canonical_sha256":"fcf2889e0a2f5d36f912cd9c73d209a7db22b980a5dafc91867f9f14f4e80b43","source":{"kind":"arxiv","id":"1904.06066","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.06066","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"arxiv_version","alias_value":"1904.06066v1","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.06066","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"pith_short_12","alias_value":"7TZIRHQKF5OT","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7TZIRHQKF5OTN6IS","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7TZIRHQK","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:7TZIRHQKF5OTN6ISZWOHHUQJU7","target":"record","payload":{"canonical_record":{"source":{"id":"1904.06066","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-12T07:04:37Z","cross_cats_sorted":[],"title_canon_sha256":"32f3db36469a033a2cad81be8108af32f97dddd44b291ea5d5e0e402c173b8af","abstract_canon_sha256":"65c7c463d1624185572494868506574bc8c640412f22f755467e5ca9f82a0dbe"},"schema_version":"1.0"},"canonical_sha256":"fcf2889e0a2f5d36f912cd9c73d209a7db22b980a5dafc91867f9f14f4e80b43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:44.316765Z","signature_b64":"v6Qp9fwmKcqoiJyZt9YB4Tg/aVfm3PquiybXUeDvbqNfcwD9XAn7wrNKlr4j9+bwqdLLw8dAPS7pVfa1dS+PCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fcf2889e0a2f5d36f912cd9c73d209a7db22b980a5dafc91867f9f14f4e80b43","last_reissued_at":"2026-05-17T23:48:44.316147Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:44.316147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.06066","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":"2026-05-17T23:48:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NOuDnm9PyR6cQQFlQUUK9mgZSfGaqpl3jTvY0T4eBcZo1WTnx4Gqss5daotuCbV8/+AgwCgnyQ36qClsIlp/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:45:02.604309Z"},"content_sha256":"84129b9547fb9d36047ce2fb6ad8bdeca4ac06f357f40bcafdd9bd5b1dc911a6","schema_version":"1.0","event_id":"sha256:84129b9547fb9d36047ce2fb6ad8bdeca4ac06f357f40bcafdd9bd5b1dc911a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:7TZIRHQKF5OTN6ISZWOHHUQJU7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Information entropy and complexity measure in generalized Kratzer potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Amlan K. Roy, Neetik Mukherjee, Sangita Majumdar","submitted_at":"2019-04-12T07:04:37Z","abstract_excerpt":"Shannon entropy ($S$), Fisher information ($I$) and a measure equivalent to Fisher-Shannon complexity $(C_{IS})$ of a ro-vibrational state of diatomic molecules (O$_2$, O$_2^+$, NO, NO$^+$) with generalized Kratzer potential is analyzed.\n  \\emph{Exact} analytical expression of $I_{\\rvec}$ is derived for the arbitrary state, whereas the same could be done for $I_{\\pvec}$ with $\\{n,\\ell,m=0\\}$ state. It is found that shifting from neutral to the cationic system, $I_{\\rvec}$ increases while $S_{\\rvec}$ decreases, consistent with the interpretation of a localization in the probability distribution"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.06066","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":"2026-05-17T23:48:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Z3kYSCQz4mEqILce0p+3gQgWjzLPTAI6NgcfhL0lVdrkR4y6FKrRLlE7zsReeuM2WBdiyB167j5UYj73tskBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:45:02.605070Z"},"content_sha256":"184029b58fdfee20a4f6427be5b41379805e2e05e28db774a6b69cbc5534695e","schema_version":"1.0","event_id":"sha256:184029b58fdfee20a4f6427be5b41379805e2e05e28db774a6b69cbc5534695e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7TZIRHQKF5OTN6ISZWOHHUQJU7/bundle.json","state_url":"https://pith.science/pith/7TZIRHQKF5OTN6ISZWOHHUQJU7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7TZIRHQKF5OTN6ISZWOHHUQJU7/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":"2026-06-08T04:45:02Z","links":{"resolver":"https://pith.science/pith/7TZIRHQKF5OTN6ISZWOHHUQJU7","bundle":"https://pith.science/pith/7TZIRHQKF5OTN6ISZWOHHUQJU7/bundle.json","state":"https://pith.science/pith/7TZIRHQKF5OTN6ISZWOHHUQJU7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7TZIRHQKF5OTN6ISZWOHHUQJU7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7TZIRHQKF5OTN6ISZWOHHUQJU7","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":"65c7c463d1624185572494868506574bc8c640412f22f755467e5ca9f82a0dbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-12T07:04:37Z","title_canon_sha256":"32f3db36469a033a2cad81be8108af32f97dddd44b291ea5d5e0e402c173b8af"},"schema_version":"1.0","source":{"id":"1904.06066","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.06066","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"arxiv_version","alias_value":"1904.06066v1","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.06066","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"pith_short_12","alias_value":"7TZIRHQKF5OT","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7TZIRHQKF5OTN6IS","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7TZIRHQK","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:184029b58fdfee20a4f6427be5b41379805e2e05e28db774a6b69cbc5534695e","target":"graph","created_at":"2026-05-17T23:48:44Z","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":"Shannon entropy ($S$), Fisher information ($I$) and a measure equivalent to Fisher-Shannon complexity $(C_{IS})$ of a ro-vibrational state of diatomic molecules (O$_2$, O$_2^+$, NO, NO$^+$) with generalized Kratzer potential is analyzed.\n  \\emph{Exact} analytical expression of $I_{\\rvec}$ is derived for the arbitrary state, whereas the same could be done for $I_{\\pvec}$ with $\\{n,\\ell,m=0\\}$ state. It is found that shifting from neutral to the cationic system, $I_{\\rvec}$ increases while $S_{\\rvec}$ decreases, consistent with the interpretation of a localization in the probability distribution","authors_text":"Amlan K. Roy, Neetik Mukherjee, Sangita Majumdar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-12T07:04:37Z","title":"Information entropy and complexity measure in generalized Kratzer potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.06066","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":"sha256:84129b9547fb9d36047ce2fb6ad8bdeca4ac06f357f40bcafdd9bd5b1dc911a6","target":"record","created_at":"2026-05-17T23:48:44Z","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":"65c7c463d1624185572494868506574bc8c640412f22f755467e5ca9f82a0dbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-12T07:04:37Z","title_canon_sha256":"32f3db36469a033a2cad81be8108af32f97dddd44b291ea5d5e0e402c173b8af"},"schema_version":"1.0","source":{"id":"1904.06066","kind":"arxiv","version":1}},"canonical_sha256":"fcf2889e0a2f5d36f912cd9c73d209a7db22b980a5dafc91867f9f14f4e80b43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcf2889e0a2f5d36f912cd9c73d209a7db22b980a5dafc91867f9f14f4e80b43","first_computed_at":"2026-05-17T23:48:44.316147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:44.316147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v6Qp9fwmKcqoiJyZt9YB4Tg/aVfm3PquiybXUeDvbqNfcwD9XAn7wrNKlr4j9+bwqdLLw8dAPS7pVfa1dS+PCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:44.316765Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.06066","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84129b9547fb9d36047ce2fb6ad8bdeca4ac06f357f40bcafdd9bd5b1dc911a6","sha256:184029b58fdfee20a4f6427be5b41379805e2e05e28db774a6b69cbc5534695e"],"state_sha256":"8b2cab2924c6a1a31e6449fd725ff8d894e737e4302f244a7b60710218a2b9da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pIL8rgRTASDbET1dGiLAWvjYkcvQdh757E8SUCU6wBQ/Cpv6IznEuBajfXfKHikcJ6QDtDuGBXd4aGsgSZHmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:45:02.608993Z","bundle_sha256":"4ffa8e5d83e85b86ee89b14df6c18fc3a5e162d4e139436c4a569efb05dfe3ba"}}