{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ONMD7GJIBORNBD3LAC425WKDLJ","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":"3c41ae20ab18a0338338556f531e48a548375a655cc5832e5ff096750e0088a6","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-06-04T16:50:56Z","title_canon_sha256":"49af5a7a7f13fb7a5c11c06be0a8812ccfa817862c7a8d4ae53607e7f2a62b72"},"schema_version":"1.0","source":{"id":"2506.04153","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.04153","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"arxiv_version","alias_value":"2506.04153v1","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04153","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"pith_short_12","alias_value":"ONMD7GJIBORN","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"pith_short_16","alias_value":"ONMD7GJIBORNBD3L","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"pith_short_8","alias_value":"ONMD7GJI","created_at":"2026-07-05T11:15:58Z"}],"graph_snapshots":[{"event_id":"sha256:5e46f498df10304448e7053ddf32e7281d06280770d87b4a83d4a568248813a2","target":"graph","created_at":"2026-07-05T11:15:58Z","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/2506.04153/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. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted by Wu, Hugenholtz-Pines and Sawada.","authors_text":"Benjamin Schlein, Diane Saint Aubin, Jakob Oldenburg, Morris Brooks","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-06-04T16:50:56Z","title":"Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04153","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":"sha256:5d13829ac9af4e4609d058e8f25f08b0507dc2351b79cc6e822578a8d9fb4b13","target":"record","created_at":"2026-07-05T11:15:58Z","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":"3c41ae20ab18a0338338556f531e48a548375a655cc5832e5ff096750e0088a6","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-06-04T16:50:56Z","title_canon_sha256":"49af5a7a7f13fb7a5c11c06be0a8812ccfa817862c7a8d4ae53607e7f2a62b72"},"schema_version":"1.0","source":{"id":"2506.04153","kind":"arxiv","version":1}},"canonical_sha256":"73583f99280ba2d08f6b00b9aed9435a5406770561053a1540b9e93f35812c31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73583f99280ba2d08f6b00b9aed9435a5406770561053a1540b9e93f35812c31","first_computed_at":"2026-07-05T11:15:58.090418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:58.090418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L283rJ5XyLTjmiheDWvxpTkbwjjQT6/NwOt2QXpaEdoarpJ35hqH7qPQslVa4Ed+OCFLZCdpAqavzDQ7OideBw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:58.090893Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.04153","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d13829ac9af4e4609d058e8f25f08b0507dc2351b79cc6e822578a8d9fb4b13","sha256:5e46f498df10304448e7053ddf32e7281d06280770d87b4a83d4a568248813a2"],"state_sha256":"17c30c6138e01569f7cd97585390ffed5796c14121db0d6950c158a10a3ef913"}