{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IHAWF52J6ZSUDUM6BWPIIVL3CJ","short_pith_number":"pith:IHAWF52J","canonical_record":{"source":{"id":"1704.04819","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-04-16T21:02:05Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"5011b0c18762966efba2f21bdf00dc25ad32a33b8699c1cfb48b0f46da9972a1","abstract_canon_sha256":"4e6ce5495b9b3746b6da0dded7ba65dc143885be182f6638b4a739fdb24b123d"},"schema_version":"1.0"},"canonical_sha256":"41c162f749f66541d19e0d9e84557b126ab84038c3dc120bcf30d7db369acdde","source":{"kind":"arxiv","id":"1704.04819","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04819","created_at":"2026-05-18T00:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04819v2","created_at":"2026-05-18T00:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04819","created_at":"2026-05-18T00:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"IHAWF52J6ZSU","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IHAWF52J6ZSUDUM6","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IHAWF52J","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IHAWF52J6ZSUDUM6BWPIIVL3CJ","target":"record","payload":{"canonical_record":{"source":{"id":"1704.04819","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-04-16T21:02:05Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"5011b0c18762966efba2f21bdf00dc25ad32a33b8699c1cfb48b0f46da9972a1","abstract_canon_sha256":"4e6ce5495b9b3746b6da0dded7ba65dc143885be182f6638b4a739fdb24b123d"},"schema_version":"1.0"},"canonical_sha256":"41c162f749f66541d19e0d9e84557b126ab84038c3dc120bcf30d7db369acdde","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:15.312200Z","signature_b64":"YMBdPkPTXVp1EktDya70+NjG9WikvIMh2nlCouKWyWlsUA+f38pMtxNnZVQmMjFlS2xFMwwxoLRop/hbMFSUBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41c162f749f66541d19e0d9e84557b126ab84038c3dc120bcf30d7db369acdde","last_reissued_at":"2026-05-18T00:44:15.311751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:15.311751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.04819","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":"2026-05-18T00:44:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rCd27IrpUauDbFmeQ2X6Lu5b6QkwqdEV/Lnt8+gBJKyUVAZf3P2fDJj8eA4zKC4c7oTeydLOQWEuYulm4h+lCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:36:08.978262Z"},"content_sha256":"0d8dc29ded29d79e0913626750b307bba29dbb27a02bb16518e732b7a58a84f9","schema_version":"1.0","event_id":"sha256:0d8dc29ded29d79e0913626750b307bba29dbb27a02bb16518e732b7a58a84f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IHAWF52J6ZSUDUM6BWPIIVL3CJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The excitation spectrum of Bose gases interacting through singular potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Benjamin Schlein, Chiara Boccato, Christian Brennecke, Serena Cenatiempo","submitted_at":"2017-04-16T21:02:05Z","abstract_excerpt":"We consider systems of $N$ bosons in a box with volume one, interacting through a repulsive two-body potential of the form $\\kappa N^{3\\beta-1} V(N^\\beta x)$. For all $0 < \\beta < 1$, and for sufficiently small coupling constant $\\kappa > 0$, we establish the validity of Bogoliubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large $N$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04819","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":"2026-05-18T00:44:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NQleE0MqcYpSlOW/IfmVoJt+O7tL/AXwXqoWIezvjQ/+ObEntl/kbm390+Lpt8vC2JBh7isuNSdbeM8fZdr3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:36:08.978980Z"},"content_sha256":"52bd7828baea5e425689383019badb46b62043a26e3d31c576206322f883ea7b","schema_version":"1.0","event_id":"sha256:52bd7828baea5e425689383019badb46b62043a26e3d31c576206322f883ea7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IHAWF52J6ZSUDUM6BWPIIVL3CJ/bundle.json","state_url":"https://pith.science/pith/IHAWF52J6ZSUDUM6BWPIIVL3CJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IHAWF52J6ZSUDUM6BWPIIVL3CJ/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":"2026-05-30T07:36:08Z","links":{"resolver":"https://pith.science/pith/IHAWF52J6ZSUDUM6BWPIIVL3CJ","bundle":"https://pith.science/pith/IHAWF52J6ZSUDUM6BWPIIVL3CJ/bundle.json","state":"https://pith.science/pith/IHAWF52J6ZSUDUM6BWPIIVL3CJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IHAWF52J6ZSUDUM6BWPIIVL3CJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IHAWF52J6ZSUDUM6BWPIIVL3CJ","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":"4e6ce5495b9b3746b6da0dded7ba65dc143885be182f6638b4a739fdb24b123d","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-04-16T21:02:05Z","title_canon_sha256":"5011b0c18762966efba2f21bdf00dc25ad32a33b8699c1cfb48b0f46da9972a1"},"schema_version":"1.0","source":{"id":"1704.04819","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04819","created_at":"2026-05-18T00:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04819v2","created_at":"2026-05-18T00:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04819","created_at":"2026-05-18T00:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"IHAWF52J6ZSU","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IHAWF52J6ZSUDUM6","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IHAWF52J","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:52bd7828baea5e425689383019badb46b62043a26e3d31c576206322f883ea7b","target":"graph","created_at":"2026-05-18T00:44:15Z","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 consider systems of $N$ bosons in a box with volume one, interacting through a repulsive two-body potential of the form $\\kappa N^{3\\beta-1} V(N^\\beta x)$. For all $0 < \\beta < 1$, and for sufficiently small coupling constant $\\kappa > 0$, we establish the validity of Bogoliubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large $N$.","authors_text":"Benjamin Schlein, Chiara Boccato, Christian Brennecke, Serena Cenatiempo","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-04-16T21:02:05Z","title":"The excitation spectrum of Bose gases interacting through singular potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04819","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":"sha256:0d8dc29ded29d79e0913626750b307bba29dbb27a02bb16518e732b7a58a84f9","target":"record","created_at":"2026-05-18T00:44:15Z","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":"4e6ce5495b9b3746b6da0dded7ba65dc143885be182f6638b4a739fdb24b123d","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-04-16T21:02:05Z","title_canon_sha256":"5011b0c18762966efba2f21bdf00dc25ad32a33b8699c1cfb48b0f46da9972a1"},"schema_version":"1.0","source":{"id":"1704.04819","kind":"arxiv","version":2}},"canonical_sha256":"41c162f749f66541d19e0d9e84557b126ab84038c3dc120bcf30d7db369acdde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41c162f749f66541d19e0d9e84557b126ab84038c3dc120bcf30d7db369acdde","first_computed_at":"2026-05-18T00:44:15.311751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:15.311751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YMBdPkPTXVp1EktDya70+NjG9WikvIMh2nlCouKWyWlsUA+f38pMtxNnZVQmMjFlS2xFMwwxoLRop/hbMFSUBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:15.312200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04819","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d8dc29ded29d79e0913626750b307bba29dbb27a02bb16518e732b7a58a84f9","sha256:52bd7828baea5e425689383019badb46b62043a26e3d31c576206322f883ea7b"],"state_sha256":"fbb8d19648a4438315a3d673798e20833c28b8e4055eb20a88ffd68d6e1c6be8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RGL/o5Qm9cwcsHaHivwWluu9YspeTYBSX7GBnAXhjysDAJ8odL2Vs0M73NvR3vG8GZr9P8ZKDiE7qj/rcqILCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:36:08.983810Z","bundle_sha256":"4247afd7b282d9f8c658db558e2aab2d8e4573acf5c2cc0f33992c7115277b2a"}}