{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:RT22P76QZYZ677XFVI2CNWIZR4","short_pith_number":"pith:RT22P76Q","canonical_record":{"source":{"id":"2504.08098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T19:55:06Z","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"title_canon_sha256":"9a6b299ee183c0fcac097bf4b5e2a914841985f058422472f5934ac9a41f29b9","abstract_canon_sha256":"7ef21be1248c007267cd414844c1cf375b09c0af3956cc78d26da1a6c3f40ad6"},"schema_version":"1.0"},"canonical_sha256":"8cf5a7ffd0ce33effee5aa3426d9198f2ccf06f7e9eee75c711189270f3bb167","source":{"kind":"arxiv","id":"2504.08098","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.08098","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"arxiv_version","alias_value":"2504.08098v2","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.08098","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_12","alias_value":"RT22P76QZYZ6","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_16","alias_value":"RT22P76QZYZ677XF","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_8","alias_value":"RT22P76Q","created_at":"2026-07-05T11:14:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:RT22P76QZYZ677XFVI2CNWIZR4","target":"record","payload":{"canonical_record":{"source":{"id":"2504.08098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T19:55:06Z","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"title_canon_sha256":"9a6b299ee183c0fcac097bf4b5e2a914841985f058422472f5934ac9a41f29b9","abstract_canon_sha256":"7ef21be1248c007267cd414844c1cf375b09c0af3956cc78d26da1a6c3f40ad6"},"schema_version":"1.0"},"canonical_sha256":"8cf5a7ffd0ce33effee5aa3426d9198f2ccf06f7e9eee75c711189270f3bb167","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:14:58.043892Z","signature_b64":"UUr0EWPIYSxjYQ5viHWOglqNwnnA9utgNfuD0UVGQ59vHYcbTi9knancP/08MFA2ipNxFm5ZqTA8LkRhNdCKCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cf5a7ffd0ce33effee5aa3426d9198f2ccf06f7e9eee75c711189270f3bb167","last_reissued_at":"2026-07-05T11:14:58.043406Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:14:58.043406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.08098","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:14:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+HNdBbLbT/w2O+cVm11fzVF/QBH0J2oHro9yiOGhAL0Wvv5OsPGNn7hlM2mbAEZYfx44PDwaOwnlBh7gdnc7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T09:39:06.946252Z"},"content_sha256":"16038ab2f6b5ca9119aad73ccf71a9f3832ae42c4441cbd9234f23aa14baa932","schema_version":"1.0","event_id":"sha256:16038ab2f6b5ca9119aad73ccf71a9f3832ae42c4441cbd9234f23aa14baa932"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:RT22P76QZYZ677XFVI2CNWIZR4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semicontinuity bounds for the von Neumann entropy and partial majorization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math-ph","math.IT","math.MP"],"primary_cat":"quant-ph","authors_text":"M.E.Shirokov","submitted_at":"2025-04-10T19:55:06Z","abstract_excerpt":"We consider families of tight upper bounds on the difference $S(\\rho)-S(\\sigma)$ with the rank/energy constraint imposed on the state $\\rho$ which are valid provided that the state $\\rho$ partially majorizes the state $\\sigma$ and is close to the state $\\sigma$ w.r.t. the trace norm.\n  The upper bounds within these families depend on the parameter $m$ of partial majorization. The upper bounds corresponding to $m=0$ coincide with the (unconditional) optimal semicontinuity bounds for the von Neumann entropy with the rank/energy constraint obtained in [Lett.Math.Phys.,113,121,35] and [arXiv:2410."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.08098","kind":"arxiv","version":2},"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/2504.08098/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":"2026-07-05T11:14:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KYf7idPYkYsCnVW6QJpJCPVGewsX9JWtZ9vxCAGVpfbeE43EttUj+fu/jhFe8CUAb5fqoyb1Zhf9r7BJ1lKvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T09:39:06.946771Z"},"content_sha256":"e6740f143adaf844311a890010f03cdbab7f3f237df3bd49356548290a3ec055","schema_version":"1.0","event_id":"sha256:e6740f143adaf844311a890010f03cdbab7f3f237df3bd49356548290a3ec055"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RT22P76QZYZ677XFVI2CNWIZR4/bundle.json","state_url":"https://pith.science/pith/RT22P76QZYZ677XFVI2CNWIZR4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RT22P76QZYZ677XFVI2CNWIZR4/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":"2026-08-17T09:39:06Z","links":{"resolver":"https://pith.science/pith/RT22P76QZYZ677XFVI2CNWIZR4","bundle":"https://pith.science/pith/RT22P76QZYZ677XFVI2CNWIZR4/bundle.json","state":"https://pith.science/pith/RT22P76QZYZ677XFVI2CNWIZR4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RT22P76QZYZ677XFVI2CNWIZR4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:RT22P76QZYZ677XFVI2CNWIZR4","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":"7ef21be1248c007267cd414844c1cf375b09c0af3956cc78d26da1a6c3f40ad6","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T19:55:06Z","title_canon_sha256":"9a6b299ee183c0fcac097bf4b5e2a914841985f058422472f5934ac9a41f29b9"},"schema_version":"1.0","source":{"id":"2504.08098","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.08098","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"arxiv_version","alias_value":"2504.08098v2","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.08098","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_12","alias_value":"RT22P76QZYZ6","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_16","alias_value":"RT22P76QZYZ677XF","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_8","alias_value":"RT22P76Q","created_at":"2026-07-05T11:14:58Z"}],"graph_snapshots":[{"event_id":"sha256:e6740f143adaf844311a890010f03cdbab7f3f237df3bd49356548290a3ec055","target":"graph","created_at":"2026-07-05T11:14:58Z","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/2504.08098/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider families of tight upper bounds on the difference $S(\\rho)-S(\\sigma)$ with the rank/energy constraint imposed on the state $\\rho$ which are valid provided that the state $\\rho$ partially majorizes the state $\\sigma$ and is close to the state $\\sigma$ w.r.t. the trace norm.\n  The upper bounds within these families depend on the parameter $m$ of partial majorization. The upper bounds corresponding to $m=0$ coincide with the (unconditional) optimal semicontinuity bounds for the von Neumann entropy with the rank/energy constraint obtained in [Lett.Math.Phys.,113,121,35] and [arXiv:2410.","authors_text":"M.E.Shirokov","cross_cats":["cs.IT","math-ph","math.IT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T19:55:06Z","title":"Semicontinuity bounds for the von Neumann entropy and partial majorization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.08098","kind":"arxiv","version":2},"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":"sha256:16038ab2f6b5ca9119aad73ccf71a9f3832ae42c4441cbd9234f23aa14baa932","target":"record","created_at":"2026-07-05T11:14:58Z","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":"7ef21be1248c007267cd414844c1cf375b09c0af3956cc78d26da1a6c3f40ad6","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T19:55:06Z","title_canon_sha256":"9a6b299ee183c0fcac097bf4b5e2a914841985f058422472f5934ac9a41f29b9"},"schema_version":"1.0","source":{"id":"2504.08098","kind":"arxiv","version":2}},"canonical_sha256":"8cf5a7ffd0ce33effee5aa3426d9198f2ccf06f7e9eee75c711189270f3bb167","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cf5a7ffd0ce33effee5aa3426d9198f2ccf06f7e9eee75c711189270f3bb167","first_computed_at":"2026-07-05T11:14:58.043406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:58.043406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UUr0EWPIYSxjYQ5viHWOglqNwnnA9utgNfuD0UVGQ59vHYcbTi9knancP/08MFA2ipNxFm5ZqTA8LkRhNdCKCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:58.043892Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.08098","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16038ab2f6b5ca9119aad73ccf71a9f3832ae42c4441cbd9234f23aa14baa932","sha256:e6740f143adaf844311a890010f03cdbab7f3f237df3bd49356548290a3ec055"],"state_sha256":"e1307283e8888185e4441b7288cd497881e349c7652eb3ffadfe3d0e5c8f6b78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"niy8goyxD5aaN11b55NiO6LwrrrNtbLNn3HOaiRS0c3WpkoQXX8o0Wg5D5NCthLHrV+vgnVwNt8Px1YJBcfvDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T09:39:06.951889Z","bundle_sha256":"510a8b822079a862c594e4b66e45412b7ac5efdb79b9ff2bda590582b28ed1a8"}}