{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:JLKDOGUJ2OXMPC2BZTLQOW373H","short_pith_number":"pith:JLKDOGUJ","canonical_record":{"source":{"id":"2408.14222","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-26T12:36:15Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"9ecf0104051669bd9eb0bb8dd9b5e94298b3a4f31ba49a82ecd677ad7377e777","abstract_canon_sha256":"fb2b505eb7dd24b38887442e668f57e80d6f8dc2bd3cc3fa124c4a46284f2128"},"schema_version":"1.0"},"canonical_sha256":"4ad4371a89d3aec78b41ccd7075b7fd9e4f9fcb2f67da0eaa4cb1bfd637aa3f7","source":{"kind":"arxiv","id":"2408.14222","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.14222","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"2408.14222v1","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.14222","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"JLKDOGUJ2OXM","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"pith_short_16","alias_value":"JLKDOGUJ2OXMPC2B","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"pith_short_8","alias_value":"JLKDOGUJ","created_at":"2026-07-05T08:59:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:JLKDOGUJ2OXMPC2BZTLQOW373H","target":"record","payload":{"canonical_record":{"source":{"id":"2408.14222","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-26T12:36:15Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"9ecf0104051669bd9eb0bb8dd9b5e94298b3a4f31ba49a82ecd677ad7377e777","abstract_canon_sha256":"fb2b505eb7dd24b38887442e668f57e80d6f8dc2bd3cc3fa124c4a46284f2128"},"schema_version":"1.0"},"canonical_sha256":"4ad4371a89d3aec78b41ccd7075b7fd9e4f9fcb2f67da0eaa4cb1bfd637aa3f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:59:17.917754Z","signature_b64":"yohtaBbg2TckMHE+ijh7mEzV7qiAo5TerGVl2RsUHyiId2HTZXiKym1UMzfnwGjJstX05r5AaNq0LQAKh1b1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ad4371a89d3aec78b41ccd7075b7fd9e4f9fcb2f67da0eaa4cb1bfd637aa3f7","last_reissued_at":"2026-07-05T08:59:17.917272Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:59:17.917272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.14222","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":"2026-07-05T08:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ztLIxi9KQTYljPuwxsTcHhEtOw8Qoofdu0CMfo/Q3SYaWXlhfKwFbifIcMNSGG6YKveiqMnbu+lC7YlZcnlhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:30:32.890890Z"},"content_sha256":"1dad386712914029f2adf1a359daeb585509f32bd94c2a6de146bf81be523ea1","schema_version":"1.0","event_id":"sha256:1dad386712914029f2adf1a359daeb585509f32bd94c2a6de146bf81be523ea1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:JLKDOGUJ2OXMPC2BZTLQOW373H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The free energy of dilute Bose gases at low temperatures interacting via strong potentials","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"A. Triay, L. Junge, L. Morin, M. Olivieri, S. Fournais, T. Girardot","submitted_at":"2024-08-26T12:36:15Z","abstract_excerpt":"We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang on the excitation spectrum of the system. Combining techniques of \\cite{FS2} and \\cite{HHNST}, we give a simpler and shorter proof resolving the case of strong interactions, including the hard-core potential."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.14222","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.14222/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":"2026-07-05T08:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WkgVtg/dW+nZHmMIdZu1UsktP8Q6WwIwvAOePZUlYMfOkq6FyM0zVJZGI0Xs5vDLXg0aTgDSSw4Yt8jFp21FAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:30:32.891465Z"},"content_sha256":"64156a51dd1500f66c619b9de29c43e56af254ad8a9995ccb9035896e3c418ac","schema_version":"1.0","event_id":"sha256:64156a51dd1500f66c619b9de29c43e56af254ad8a9995ccb9035896e3c418ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JLKDOGUJ2OXMPC2BZTLQOW373H/bundle.json","state_url":"https://pith.science/pith/JLKDOGUJ2OXMPC2BZTLQOW373H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JLKDOGUJ2OXMPC2BZTLQOW373H/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":"2026-08-03T22:30:32Z","links":{"resolver":"https://pith.science/pith/JLKDOGUJ2OXMPC2BZTLQOW373H","bundle":"https://pith.science/pith/JLKDOGUJ2OXMPC2BZTLQOW373H/bundle.json","state":"https://pith.science/pith/JLKDOGUJ2OXMPC2BZTLQOW373H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JLKDOGUJ2OXMPC2BZTLQOW373H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JLKDOGUJ2OXMPC2BZTLQOW373H","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":"fb2b505eb7dd24b38887442e668f57e80d6f8dc2bd3cc3fa124c4a46284f2128","cross_cats_sorted":["math.MP","math.SP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-26T12:36:15Z","title_canon_sha256":"9ecf0104051669bd9eb0bb8dd9b5e94298b3a4f31ba49a82ecd677ad7377e777"},"schema_version":"1.0","source":{"id":"2408.14222","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.14222","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"2408.14222v1","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.14222","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"JLKDOGUJ2OXM","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"pith_short_16","alias_value":"JLKDOGUJ2OXMPC2B","created_at":"2026-07-05T08:59:17Z"},{"alias_kind":"pith_short_8","alias_value":"JLKDOGUJ","created_at":"2026-07-05T08:59:17Z"}],"graph_snapshots":[{"event_id":"sha256:64156a51dd1500f66c619b9de29c43e56af254ad8a9995ccb9035896e3c418ac","target":"graph","created_at":"2026-07-05T08:59:17Z","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/2408.14222/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang on the excitation spectrum of the system. Combining techniques of \\cite{FS2} and \\cite{HHNST}, we give a simpler and shorter proof resolving the case of strong interactions, including the hard-core potential.","authors_text":"A. Triay, L. Junge, L. Morin, M. Olivieri, S. Fournais, T. Girardot","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-26T12:36:15Z","title":"The free energy of dilute Bose gases at low temperatures interacting via strong potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.14222","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":"sha256:1dad386712914029f2adf1a359daeb585509f32bd94c2a6de146bf81be523ea1","target":"record","created_at":"2026-07-05T08:59:17Z","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":"fb2b505eb7dd24b38887442e668f57e80d6f8dc2bd3cc3fa124c4a46284f2128","cross_cats_sorted":["math.MP","math.SP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-26T12:36:15Z","title_canon_sha256":"9ecf0104051669bd9eb0bb8dd9b5e94298b3a4f31ba49a82ecd677ad7377e777"},"schema_version":"1.0","source":{"id":"2408.14222","kind":"arxiv","version":1}},"canonical_sha256":"4ad4371a89d3aec78b41ccd7075b7fd9e4f9fcb2f67da0eaa4cb1bfd637aa3f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ad4371a89d3aec78b41ccd7075b7fd9e4f9fcb2f67da0eaa4cb1bfd637aa3f7","first_computed_at":"2026-07-05T08:59:17.917272Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:59:17.917272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yohtaBbg2TckMHE+ijh7mEzV7qiAo5TerGVl2RsUHyiId2HTZXiKym1UMzfnwGjJstX05r5AaNq0LQAKh1b1CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:59:17.917754Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.14222","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dad386712914029f2adf1a359daeb585509f32bd94c2a6de146bf81be523ea1","sha256:64156a51dd1500f66c619b9de29c43e56af254ad8a9995ccb9035896e3c418ac"],"state_sha256":"9106eb4cc47cde2f82e3be98accec381be9b09b351f2f74eac480541442bb052"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kTAF6EIPf8Ef8Hbf0UH2x2+1CyDioDnYCUElbfmWJQI8dEJJJTPtnJlfr/wSLD3z3xQmCpaJrZiabgbQSF7cBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T22:30:32.898143Z","bundle_sha256":"7319f6af1805692be41a4dcf608239a2522cd31bffb5668294f21ebba47b80e0"}}