{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Y6B3GTDVMWE6E4WSUIYTZTNOHF","short_pith_number":"pith:Y6B3GTDV","canonical_record":{"source":{"id":"1207.7190","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-31T08:57:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"8e96950c6a1a900a20865358c4ca5800e8269143fa7800c4a56391e0c550d2cf","abstract_canon_sha256":"16990c94d5fa59503c7548746cc602d63fac4c5131c45f13b98f8b472fdfac77"},"schema_version":"1.0"},"canonical_sha256":"c783b34c756589e272d2a2313ccdae395d7072ad5579ac799b378611749ba74f","source":{"kind":"arxiv","id":"1207.7190","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.7190","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"arxiv_version","alias_value":"1207.7190v1","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.7190","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"pith_short_12","alias_value":"Y6B3GTDVMWE6","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y6B3GTDVMWE6E4WS","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y6B3GTDV","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Y6B3GTDVMWE6E4WSUIYTZTNOHF","target":"record","payload":{"canonical_record":{"source":{"id":"1207.7190","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-31T08:57:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"8e96950c6a1a900a20865358c4ca5800e8269143fa7800c4a56391e0c550d2cf","abstract_canon_sha256":"16990c94d5fa59503c7548746cc602d63fac4c5131c45f13b98f8b472fdfac77"},"schema_version":"1.0"},"canonical_sha256":"c783b34c756589e272d2a2313ccdae395d7072ad5579ac799b378611749ba74f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:46.535083Z","signature_b64":"ffeN6VH9v5KDFB+7PhJoSixCSXjYNTuAcQhxrXJ8K1A/O0stB16lz4p1/cAynzHIiDDu8DC+XSar2CST916wBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c783b34c756589e272d2a2313ccdae395d7072ad5579ac799b378611749ba74f","last_reissued_at":"2026-05-18T03:49:46.534337Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:46.534337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.7190","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":"2026-05-18T03:49:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"menEWrz649jG6iCWAcIoj0XBqqQaM5MtpIxg8gHLEHOv+b/CJNRxj8+u+bilxhOR1h4Fw2qqgrK0EaT45lcQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:23:15.993504Z"},"content_sha256":"f9a0e5639d7c2e667c2731b83ca4c56ed7320d84642e0c5df5a1436b5f9a9ec4","schema_version":"1.0","event_id":"sha256:f9a0e5639d7c2e667c2731b83ca4c56ed7320d84642e0c5df5a1436b5f9a9ec4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Y6B3GTDVMWE6E4WSUIYTZTNOHF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Absence of positive eigenvalues for hard-core N-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"E. Skibsted, K. Ito","submitted_at":"2012-07-31T08:57:53Z","abstract_excerpt":"We show absence of positive eigenvalues for generalized 2-body hard- core Schroedinger operators under the condition of bounded strictly convex obstacles. A scheme for showing absence of positive eigenvalues for generalized N -body hard-core Schroedinger operators, N \\geq 2, is presented. This scheme involves high energy resolvent estimates, and for N = 2 it is implemented by a Mourre commutator type method. A particular example is the Helium atom with the assumption of infinite mass and finite extent nucleus."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.7190","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":"2026-05-18T03:49:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ulEJdET0S6FRHV1kIgmZBHuQ+esrtmh2/JX6R6G0sEWy8oHxqL0vfv1t8zk68ySnYKxFWqlQRyJKiCf3a2WxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:23:15.994044Z"},"content_sha256":"4eb0bf4014d228e3272ce2db0eabdbf46cb3c2b56156f6da90e9d7112ba838f1","schema_version":"1.0","event_id":"sha256:4eb0bf4014d228e3272ce2db0eabdbf46cb3c2b56156f6da90e9d7112ba838f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y6B3GTDVMWE6E4WSUIYTZTNOHF/bundle.json","state_url":"https://pith.science/pith/Y6B3GTDVMWE6E4WSUIYTZTNOHF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y6B3GTDVMWE6E4WSUIYTZTNOHF/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":"2026-05-28T06:23:15Z","links":{"resolver":"https://pith.science/pith/Y6B3GTDVMWE6E4WSUIYTZTNOHF","bundle":"https://pith.science/pith/Y6B3GTDVMWE6E4WSUIYTZTNOHF/bundle.json","state":"https://pith.science/pith/Y6B3GTDVMWE6E4WSUIYTZTNOHF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y6B3GTDVMWE6E4WSUIYTZTNOHF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Y6B3GTDVMWE6E4WSUIYTZTNOHF","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":"16990c94d5fa59503c7548746cc602d63fac4c5131c45f13b98f8b472fdfac77","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-31T08:57:53Z","title_canon_sha256":"8e96950c6a1a900a20865358c4ca5800e8269143fa7800c4a56391e0c550d2cf"},"schema_version":"1.0","source":{"id":"1207.7190","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.7190","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"arxiv_version","alias_value":"1207.7190v1","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.7190","created_at":"2026-05-18T03:49:46Z"},{"alias_kind":"pith_short_12","alias_value":"Y6B3GTDVMWE6","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y6B3GTDVMWE6E4WS","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y6B3GTDV","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:4eb0bf4014d228e3272ce2db0eabdbf46cb3c2b56156f6da90e9d7112ba838f1","target":"graph","created_at":"2026-05-18T03:49:46Z","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 show absence of positive eigenvalues for generalized 2-body hard- core Schroedinger operators under the condition of bounded strictly convex obstacles. A scheme for showing absence of positive eigenvalues for generalized N -body hard-core Schroedinger operators, N \\geq 2, is presented. This scheme involves high energy resolvent estimates, and for N = 2 it is implemented by a Mourre commutator type method. A particular example is the Helium atom with the assumption of infinite mass and finite extent nucleus.","authors_text":"E. Skibsted, K. Ito","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-31T08:57:53Z","title":"Absence of positive eigenvalues for hard-core N-body systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.7190","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:f9a0e5639d7c2e667c2731b83ca4c56ed7320d84642e0c5df5a1436b5f9a9ec4","target":"record","created_at":"2026-05-18T03:49:46Z","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":"16990c94d5fa59503c7548746cc602d63fac4c5131c45f13b98f8b472fdfac77","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-31T08:57:53Z","title_canon_sha256":"8e96950c6a1a900a20865358c4ca5800e8269143fa7800c4a56391e0c550d2cf"},"schema_version":"1.0","source":{"id":"1207.7190","kind":"arxiv","version":1}},"canonical_sha256":"c783b34c756589e272d2a2313ccdae395d7072ad5579ac799b378611749ba74f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c783b34c756589e272d2a2313ccdae395d7072ad5579ac799b378611749ba74f","first_computed_at":"2026-05-18T03:49:46.534337Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:46.534337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ffeN6VH9v5KDFB+7PhJoSixCSXjYNTuAcQhxrXJ8K1A/O0stB16lz4p1/cAynzHIiDDu8DC+XSar2CST916wBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:46.535083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.7190","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9a0e5639d7c2e667c2731b83ca4c56ed7320d84642e0c5df5a1436b5f9a9ec4","sha256:4eb0bf4014d228e3272ce2db0eabdbf46cb3c2b56156f6da90e9d7112ba838f1"],"state_sha256":"87f859301c12d34ab15fe0ef7cc7ede540f2a8a98eb0145b5cd5270f9942fc11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xVgR3pzE0DaYOlAtZ9sRVCH1FWhVenpqZE3TVk4SJdLq6t6ez6P+e9vnD987DG3A/OZtTpL1t6JmNCmAa3lBAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T06:23:15.997123Z","bundle_sha256":"fa5f4c31758fa9928197b404c7f6651fe6b703b112de4b1d48ccaaa3b87d8faa"}}