{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:43U7AHV7T7HOY2HJIJQAYEA66G","short_pith_number":"pith:43U7AHV7","canonical_record":{"source":{"id":"1001.4280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-24T20:50:34Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"0f2487cb2bb55aa9b9c150bdd6b176214134e1a94759c777a0aece495490e4e5","abstract_canon_sha256":"352cceb47d6730a7dacda436a2da17a510e1ead9bb91392a6cb866c10a9eb551"},"schema_version":"1.0"},"canonical_sha256":"e6e9f01ebf9fceec68e942600c101ef1a864e3ceada9cc854a145249ed0c7286","source":{"kind":"arxiv","id":"1001.4280","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.4280","created_at":"2026-05-18T04:17:04Z"},{"alias_kind":"arxiv_version","alias_value":"1001.4280v1","created_at":"2026-05-18T04:17:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4280","created_at":"2026-05-18T04:17:04Z"},{"alias_kind":"pith_short_12","alias_value":"43U7AHV7T7HO","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"43U7AHV7T7HOY2HJ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"43U7AHV7","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:43U7AHV7T7HOY2HJIJQAYEA66G","target":"record","payload":{"canonical_record":{"source":{"id":"1001.4280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-24T20:50:34Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"0f2487cb2bb55aa9b9c150bdd6b176214134e1a94759c777a0aece495490e4e5","abstract_canon_sha256":"352cceb47d6730a7dacda436a2da17a510e1ead9bb91392a6cb866c10a9eb551"},"schema_version":"1.0"},"canonical_sha256":"e6e9f01ebf9fceec68e942600c101ef1a864e3ceada9cc854a145249ed0c7286","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:04.632757Z","signature_b64":"bfF0PYwX6RBGQvzumFl28LjJjGv//WuGXgZHVgexo+iuQL3kLQOYG9t2lr+eVEXBqMjl1+htluQwavMuFPVWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6e9f01ebf9fceec68e942600c101ef1a864e3ceada9cc854a145249ed0c7286","last_reissued_at":"2026-05-18T04:17:04.632251Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:04.632251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.4280","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":"2026-05-18T04:17:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SR9w0ATwOjiDFRl1rRxQ3Gc1yigOm4S22Miy8zVXQZom+lHqToDhYIHm0R7tOwvR9gbzYKX0oaFIRRHQFQbTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T01:45:56.536363Z"},"content_sha256":"ac43b5cfce9126333232b01f87d4867418bef9deeba7316366025a48ae597d45","schema_version":"1.0","event_id":"sha256:ac43b5cfce9126333232b01f87d4867418bef9deeba7316366025a48ae597d45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:43U7AHV7T7HOY2HJIJQAYEA66G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Monotonicity of quantum ground state energies: Bosonic atoms and stars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Michael K.-H. Kiessling","submitted_at":"2010-01-24T20:50:34Z","abstract_excerpt":"The N-dependence of the non-relativistic bosonic ground state energy is studied for quantum N-body systems with either Coulomb or Newton interactions. The Coulomb systems are \"bosonic atoms,\" with their nucleus fixed, and the Newton systems are \"bosonic stars\". In either case there exists some third order polynomial in N such that the ratio of the ground state energy to the respective polynomial grows monotonically in N. Some applications of these new monotonicity results are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4280","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":"2026-05-18T04:17:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/PWyfYkG7WYoIxaAnOM8NzEviX63Uci2K1PC9SxxGoh1m4il2DO/LWRygT3tacjT8cHo42+qufDaIh683MyiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T01:45:56.536712Z"},"content_sha256":"11adabe6405ab022980cb2f771d324ad6423907d3baced25466e3d19e6e6c3b5","schema_version":"1.0","event_id":"sha256:11adabe6405ab022980cb2f771d324ad6423907d3baced25466e3d19e6e6c3b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/43U7AHV7T7HOY2HJIJQAYEA66G/bundle.json","state_url":"https://pith.science/pith/43U7AHV7T7HOY2HJIJQAYEA66G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/43U7AHV7T7HOY2HJIJQAYEA66G/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":"2026-07-01T01:45:56Z","links":{"resolver":"https://pith.science/pith/43U7AHV7T7HOY2HJIJQAYEA66G","bundle":"https://pith.science/pith/43U7AHV7T7HOY2HJIJQAYEA66G/bundle.json","state":"https://pith.science/pith/43U7AHV7T7HOY2HJIJQAYEA66G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/43U7AHV7T7HOY2HJIJQAYEA66G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:43U7AHV7T7HOY2HJIJQAYEA66G","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":"352cceb47d6730a7dacda436a2da17a510e1ead9bb91392a6cb866c10a9eb551","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-24T20:50:34Z","title_canon_sha256":"0f2487cb2bb55aa9b9c150bdd6b176214134e1a94759c777a0aece495490e4e5"},"schema_version":"1.0","source":{"id":"1001.4280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.4280","created_at":"2026-05-18T04:17:04Z"},{"alias_kind":"arxiv_version","alias_value":"1001.4280v1","created_at":"2026-05-18T04:17:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4280","created_at":"2026-05-18T04:17:04Z"},{"alias_kind":"pith_short_12","alias_value":"43U7AHV7T7HO","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"43U7AHV7T7HOY2HJ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"43U7AHV7","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:11adabe6405ab022980cb2f771d324ad6423907d3baced25466e3d19e6e6c3b5","target":"graph","created_at":"2026-05-18T04:17:04Z","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":"The N-dependence of the non-relativistic bosonic ground state energy is studied for quantum N-body systems with either Coulomb or Newton interactions. The Coulomb systems are \"bosonic atoms,\" with their nucleus fixed, and the Newton systems are \"bosonic stars\". In either case there exists some third order polynomial in N such that the ratio of the ground state energy to the respective polynomial grows monotonically in N. Some applications of these new monotonicity results are discussed.","authors_text":"Michael K.-H. Kiessling","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-24T20:50:34Z","title":"Monotonicity of quantum ground state energies: Bosonic atoms and stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4280","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:ac43b5cfce9126333232b01f87d4867418bef9deeba7316366025a48ae597d45","target":"record","created_at":"2026-05-18T04:17:04Z","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":"352cceb47d6730a7dacda436a2da17a510e1ead9bb91392a6cb866c10a9eb551","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-01-24T20:50:34Z","title_canon_sha256":"0f2487cb2bb55aa9b9c150bdd6b176214134e1a94759c777a0aece495490e4e5"},"schema_version":"1.0","source":{"id":"1001.4280","kind":"arxiv","version":1}},"canonical_sha256":"e6e9f01ebf9fceec68e942600c101ef1a864e3ceada9cc854a145249ed0c7286","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6e9f01ebf9fceec68e942600c101ef1a864e3ceada9cc854a145249ed0c7286","first_computed_at":"2026-05-18T04:17:04.632251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:04.632251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bfF0PYwX6RBGQvzumFl28LjJjGv//WuGXgZHVgexo+iuQL3kLQOYG9t2lr+eVEXBqMjl1+htluQwavMuFPVWBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:04.632757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.4280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac43b5cfce9126333232b01f87d4867418bef9deeba7316366025a48ae597d45","sha256:11adabe6405ab022980cb2f771d324ad6423907d3baced25466e3d19e6e6c3b5"],"state_sha256":"ce8138cafee0beba5e98a8f9efd97fbf3bb060493f24d8f27f1f598ce82be5e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EOaJZUGwfh8GHnS/baVtKcHkC6hoef+YZApJ5YMxyPqIKOx4i/VAXdxx95ulrE+DiBLhSfYiXF01K5/1VHpWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T01:45:56.538614Z","bundle_sha256":"ae322d3733d1895c1adb685a718ce6f1a7cda13722a4550f67fc0a01b15b88a5"}}