{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:4Q4JFRYTSI6BXYKP3XSOY6MPSR","short_pith_number":"pith:4Q4JFRYT","canonical_record":{"source":{"id":"1109.4005","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-19T11:58:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cada1f3eb7464ce1273d0bf4891033b1310da56d74d1706025fdd03c600b6ef5","abstract_canon_sha256":"0a717e00e39916d34184f2521748e43b13b95c6f6affed7a9e8c6aecbf60d3ab"},"schema_version":"1.0"},"canonical_sha256":"e43892c713923c1be14fdde4ec798f9442c34e20bda538d4c85335d1e05beb1c","source":{"kind":"arxiv","id":"1109.4005","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4005","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4005v2","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4005","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"4Q4JFRYTSI6B","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4Q4JFRYTSI6BXYKP","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4Q4JFRYT","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:4Q4JFRYTSI6BXYKP3XSOY6MPSR","target":"record","payload":{"canonical_record":{"source":{"id":"1109.4005","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-19T11:58:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cada1f3eb7464ce1273d0bf4891033b1310da56d74d1706025fdd03c600b6ef5","abstract_canon_sha256":"0a717e00e39916d34184f2521748e43b13b95c6f6affed7a9e8c6aecbf60d3ab"},"schema_version":"1.0"},"canonical_sha256":"e43892c713923c1be14fdde4ec798f9442c34e20bda538d4c85335d1e05beb1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:14.818335Z","signature_b64":"nklBUjvz1gbyaGOKKHEikC/CZus6SEeULQq0HBmKfsQD0wuSG3JVb5l/xp/MiLOy2OUotLI7ZeNThV711a94AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e43892c713923c1be14fdde4ec798f9442c34e20bda538d4c85335d1e05beb1c","last_reissued_at":"2026-05-18T04:05:14.817761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:14.817761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.4005","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":"2026-05-18T04:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R4Kd1W2PyBQT+fHvGDOP3GIMcJaqDBj91xs3SPKQdH58TnMqSQwJumll6FVFLswpHCLS67Rw06NAA/HJ/ugVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:48:03.101918Z"},"content_sha256":"2cdc7d5d197627fb08198fbe27338db32646e0f406cfeeea425b921b528907c6","schema_version":"1.0","event_id":"sha256:2cdc7d5d197627fb08198fbe27338db32646e0f406cfeeea425b921b528907c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:4Q4JFRYTSI6BXYKP3XSOY6MPSR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement Creation in Low-Energy Scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Ricardo Weder","submitted_at":"2011-09-19T11:58:28Z","abstract_excerpt":"We study the entanglement creation in the low-energy scattering of two particles in three dimensions, for a general class of interaction potentials that are not required to be spherically symmetric. The incoming asymptotic state, before the collision, is a product of two normalized Gaussian states. After the scattering the particles are entangled. We take as a measure of the entanglement the purity of one of them. We provide a rigorous explicit computation, with error bound, of the leading order of the purity at low-energy. The entanglement depends strongly in the difference of the masses. It "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4005","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":""},"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":"2026-05-18T04:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UkSfvS/ucUfkJ0+GfU3Z1aiG9Y7PAEy6mWqtj0eHTrTqCqz0BTd9j1EgMeFpW2Txy2yYF6HhaWMm/GX6dTroAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:48:03.102580Z"},"content_sha256":"5bfb2ad49d22b19b08c1314158f36713be81bca3d9ed210431ec97e9d8dddeb2","schema_version":"1.0","event_id":"sha256:5bfb2ad49d22b19b08c1314158f36713be81bca3d9ed210431ec97e9d8dddeb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4Q4JFRYTSI6BXYKP3XSOY6MPSR/bundle.json","state_url":"https://pith.science/pith/4Q4JFRYTSI6BXYKP3XSOY6MPSR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4Q4JFRYTSI6BXYKP3XSOY6MPSR/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":"2026-06-02T12:48:03Z","links":{"resolver":"https://pith.science/pith/4Q4JFRYTSI6BXYKP3XSOY6MPSR","bundle":"https://pith.science/pith/4Q4JFRYTSI6BXYKP3XSOY6MPSR/bundle.json","state":"https://pith.science/pith/4Q4JFRYTSI6BXYKP3XSOY6MPSR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4Q4JFRYTSI6BXYKP3XSOY6MPSR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4Q4JFRYTSI6BXYKP3XSOY6MPSR","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":"0a717e00e39916d34184f2521748e43b13b95c6f6affed7a9e8c6aecbf60d3ab","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-19T11:58:28Z","title_canon_sha256":"cada1f3eb7464ce1273d0bf4891033b1310da56d74d1706025fdd03c600b6ef5"},"schema_version":"1.0","source":{"id":"1109.4005","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4005","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4005v2","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4005","created_at":"2026-05-18T04:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"4Q4JFRYTSI6B","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4Q4JFRYTSI6BXYKP","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4Q4JFRYT","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:5bfb2ad49d22b19b08c1314158f36713be81bca3d9ed210431ec97e9d8dddeb2","target":"graph","created_at":"2026-05-18T04:05:14Z","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":"We study the entanglement creation in the low-energy scattering of two particles in three dimensions, for a general class of interaction potentials that are not required to be spherically symmetric. The incoming asymptotic state, before the collision, is a product of two normalized Gaussian states. After the scattering the particles are entangled. We take as a measure of the entanglement the purity of one of them. We provide a rigorous explicit computation, with error bound, of the leading order of the purity at low-energy. The entanglement depends strongly in the difference of the masses. It ","authors_text":"Ricardo Weder","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-19T11:58:28Z","title":"Entanglement Creation in Low-Energy Scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4005","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":"sha256:2cdc7d5d197627fb08198fbe27338db32646e0f406cfeeea425b921b528907c6","target":"record","created_at":"2026-05-18T04:05:14Z","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":"0a717e00e39916d34184f2521748e43b13b95c6f6affed7a9e8c6aecbf60d3ab","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-19T11:58:28Z","title_canon_sha256":"cada1f3eb7464ce1273d0bf4891033b1310da56d74d1706025fdd03c600b6ef5"},"schema_version":"1.0","source":{"id":"1109.4005","kind":"arxiv","version":2}},"canonical_sha256":"e43892c713923c1be14fdde4ec798f9442c34e20bda538d4c85335d1e05beb1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e43892c713923c1be14fdde4ec798f9442c34e20bda538d4c85335d1e05beb1c","first_computed_at":"2026-05-18T04:05:14.817761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:14.817761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nklBUjvz1gbyaGOKKHEikC/CZus6SEeULQq0HBmKfsQD0wuSG3JVb5l/xp/MiLOy2OUotLI7ZeNThV711a94AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:14.818335Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4005","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cdc7d5d197627fb08198fbe27338db32646e0f406cfeeea425b921b528907c6","sha256:5bfb2ad49d22b19b08c1314158f36713be81bca3d9ed210431ec97e9d8dddeb2"],"state_sha256":"bc0ebbc492804b7a02b32fbb4b4f7c097d7e02b3f1bbcbdc194f8886dedb725b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D3nZku3XS8Z/a+/r5t9SOtNMEbMijTOpo96U6GjPgC3/+t5hhv2+JnldTla/TTFoKXdz5vA0d/vV37gfblqlAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T12:48:03.105606Z","bundle_sha256":"6ee80b089889c58ce916eaf36a62c88c85217ce03068bd214c1551cbd167cdc1"}}