{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5WE6Y2TT4DWIY5JPYSR7WTXKP2","short_pith_number":"pith:5WE6Y2TT","canonical_record":{"source":{"id":"1604.04929","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-17T21:09:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"905fffeac1f5cef3a23639de8d60589b3fe69fec86805793f34e5e956a4ed409","abstract_canon_sha256":"5e7d6025b5bf10c59f7495e4b97eeb51ac7fdea6ce1387209365edf1e2a30b93"},"schema_version":"1.0"},"canonical_sha256":"ed89ec6a73e0ec8c752fc4a3fb4eea7eaccef8f0987073e5fdef263bb017e81d","source":{"kind":"arxiv","id":"1604.04929","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04929","created_at":"2026-05-18T00:55:13Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04929v3","created_at":"2026-05-18T00:55:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04929","created_at":"2026-05-18T00:55:13Z"},{"alias_kind":"pith_short_12","alias_value":"5WE6Y2TT4DWI","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5WE6Y2TT4DWIY5JP","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5WE6Y2TT","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5WE6Y2TT4DWIY5JPYSR7WTXKP2","target":"record","payload":{"canonical_record":{"source":{"id":"1604.04929","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-17T21:09:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"905fffeac1f5cef3a23639de8d60589b3fe69fec86805793f34e5e956a4ed409","abstract_canon_sha256":"5e7d6025b5bf10c59f7495e4b97eeb51ac7fdea6ce1387209365edf1e2a30b93"},"schema_version":"1.0"},"canonical_sha256":"ed89ec6a73e0ec8c752fc4a3fb4eea7eaccef8f0987073e5fdef263bb017e81d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:13.941033Z","signature_b64":"lTrb66prIZPb+u7tj+wpxFxGGMsWpP49X5n8owiUH0B2tgCPLWa0xeeU2Qj8f8O86Kc7auDFeW88ymU3lkOuAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed89ec6a73e0ec8c752fc4a3fb4eea7eaccef8f0987073e5fdef263bb017e81d","last_reissued_at":"2026-05-18T00:55:13.940514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:13.940514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.04929","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:55:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yo0MY1yYIKlH4nrdfowpXs2D9WQ2hG0yd4qaY6x5o5h+nij7ERXXf86yg4uDtHcTxfGbR4sjwPueZcTq8+C7AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:14:48.830151Z"},"content_sha256":"c83e45e0812755dd11e111b0eab39a29cd21d07519e0cdf9bfb7984273fd2766","schema_version":"1.0","event_id":"sha256:c83e45e0812755dd11e111b0eab39a29cd21d07519e0cdf9bfb7984273fd2766"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5WE6Y2TT4DWIY5JPYSR7WTXKP2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Metastability of Bose and Fermi gases on the upper branch","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.quant-gas","authors_text":"Andre LeClair, Itzhak Roditi, Joshua Squires","submitted_at":"2016-04-17T21:09:18Z","abstract_excerpt":"We study three dimensional Bose and Fermi gases in the upper branch, a phase defined by the absence of bound states in the repulsive interaction regime, within an approximation that considers only two-body interactions. Employing a formalism based on the S-matrix, we derive useful analytic expressions that hold on the upper branch in the weak coupling limit. We determine upper branch phase diagrams for both bosons and fermions with techniques valid for arbitrary positive scattering length."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04929","kind":"arxiv","version":3},"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":"2026-05-18T00:55:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XXAyiIFLG2XN+HcMSvQhmIqLkMSZrTms6cXijiH/kwFAD+8R/Xdk6ifyBaaaN+yynu1l2q1xBXpOY++OKFlpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:14:48.830837Z"},"content_sha256":"1f8143bc65f386356cf0c30eb5053e11f2eec5e815a66a1b1dab033e4b638162","schema_version":"1.0","event_id":"sha256:1f8143bc65f386356cf0c30eb5053e11f2eec5e815a66a1b1dab033e4b638162"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5WE6Y2TT4DWIY5JPYSR7WTXKP2/bundle.json","state_url":"https://pith.science/pith/5WE6Y2TT4DWIY5JPYSR7WTXKP2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5WE6Y2TT4DWIY5JPYSR7WTXKP2/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":"2026-05-27T10:14:48Z","links":{"resolver":"https://pith.science/pith/5WE6Y2TT4DWIY5JPYSR7WTXKP2","bundle":"https://pith.science/pith/5WE6Y2TT4DWIY5JPYSR7WTXKP2/bundle.json","state":"https://pith.science/pith/5WE6Y2TT4DWIY5JPYSR7WTXKP2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5WE6Y2TT4DWIY5JPYSR7WTXKP2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5WE6Y2TT4DWIY5JPYSR7WTXKP2","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":"5e7d6025b5bf10c59f7495e4b97eeb51ac7fdea6ce1387209365edf1e2a30b93","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-17T21:09:18Z","title_canon_sha256":"905fffeac1f5cef3a23639de8d60589b3fe69fec86805793f34e5e956a4ed409"},"schema_version":"1.0","source":{"id":"1604.04929","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04929","created_at":"2026-05-18T00:55:13Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04929v3","created_at":"2026-05-18T00:55:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04929","created_at":"2026-05-18T00:55:13Z"},{"alias_kind":"pith_short_12","alias_value":"5WE6Y2TT4DWI","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5WE6Y2TT4DWIY5JP","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5WE6Y2TT","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:1f8143bc65f386356cf0c30eb5053e11f2eec5e815a66a1b1dab033e4b638162","target":"graph","created_at":"2026-05-18T00:55:13Z","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 study three dimensional Bose and Fermi gases in the upper branch, a phase defined by the absence of bound states in the repulsive interaction regime, within an approximation that considers only two-body interactions. Employing a formalism based on the S-matrix, we derive useful analytic expressions that hold on the upper branch in the weak coupling limit. We determine upper branch phase diagrams for both bosons and fermions with techniques valid for arbitrary positive scattering length.","authors_text":"Andre LeClair, Itzhak Roditi, Joshua Squires","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-17T21:09:18Z","title":"Metastability of Bose and Fermi gases on the upper branch"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04929","kind":"arxiv","version":3},"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:c83e45e0812755dd11e111b0eab39a29cd21d07519e0cdf9bfb7984273fd2766","target":"record","created_at":"2026-05-18T00:55:13Z","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":"5e7d6025b5bf10c59f7495e4b97eeb51ac7fdea6ce1387209365edf1e2a30b93","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-17T21:09:18Z","title_canon_sha256":"905fffeac1f5cef3a23639de8d60589b3fe69fec86805793f34e5e956a4ed409"},"schema_version":"1.0","source":{"id":"1604.04929","kind":"arxiv","version":3}},"canonical_sha256":"ed89ec6a73e0ec8c752fc4a3fb4eea7eaccef8f0987073e5fdef263bb017e81d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed89ec6a73e0ec8c752fc4a3fb4eea7eaccef8f0987073e5fdef263bb017e81d","first_computed_at":"2026-05-18T00:55:13.940514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:13.940514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lTrb66prIZPb+u7tj+wpxFxGGMsWpP49X5n8owiUH0B2tgCPLWa0xeeU2Qj8f8O86Kc7auDFeW88ymU3lkOuAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:13.941033Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04929","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c83e45e0812755dd11e111b0eab39a29cd21d07519e0cdf9bfb7984273fd2766","sha256:1f8143bc65f386356cf0c30eb5053e11f2eec5e815a66a1b1dab033e4b638162"],"state_sha256":"d290080e4e0adbf85ac2a536430cd47bf11cf31c5b6157b4c271579233c7c40c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WyEt9+3u+1HMIukKFcgAk4FCTdLocyG60QWgP1QjxUW6e3Z0/dvdBmqG68293Pqj9ss82iZMOT3K5dOKXg8oCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T10:14:48.834298Z","bundle_sha256":"1ecc2c6f416f020716f077fcc5d92df063c19172e0f53acd0608867e186553bf"}}