{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:U2WIG2D5EPQHZHN75BUQBCNBEF","short_pith_number":"pith:U2WIG2D5","canonical_record":{"source":{"id":"0811.3578","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-11-21T16:45:53Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"089bf003190957605c020f225ea8f839c6d22293482042b7db645e2a4caf7360","abstract_canon_sha256":"e9d4380ebecf043c3e83040a17332c37a0d5d82f513fa3a975cebbb1e2cdede7"},"schema_version":"1.0"},"canonical_sha256":"a6ac83687d23e07c9dbfe8690089a1216eb5e9528c58649ec2892c4093f90f0b","source":{"kind":"arxiv","id":"0811.3578","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.3578","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"0811.3578v2","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.3578","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"U2WIG2D5EPQH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"U2WIG2D5EPQHZHN7","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"U2WIG2D5","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:U2WIG2D5EPQHZHN75BUQBCNBEF","target":"record","payload":{"canonical_record":{"source":{"id":"0811.3578","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-11-21T16:45:53Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"089bf003190957605c020f225ea8f839c6d22293482042b7db645e2a4caf7360","abstract_canon_sha256":"e9d4380ebecf043c3e83040a17332c37a0d5d82f513fa3a975cebbb1e2cdede7"},"schema_version":"1.0"},"canonical_sha256":"a6ac83687d23e07c9dbfe8690089a1216eb5e9528c58649ec2892c4093f90f0b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:09.001297Z","signature_b64":"EVA5pg4llwYXpkoA1HwapAOztTbzxNRgJFQZJUynjVtKSZXfzy+oUe8O9pr0ZVQwYiYEaDtvp3uqJRS4hcRbDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6ac83687d23e07c9dbfe8690089a1216eb5e9528c58649ec2892c4093f90f0b","last_reissued_at":"2026-05-18T03:24:09.000696Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:09.000696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.3578","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":"2026-05-18T03:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DJsVGTtL4s/Co/Tkh/P31aFBFRYkNffJdvsYy1V0hmLQVDIEmnqcl5KnhTjtLtCI6DQF2Oi8pbmpR9gUWfJ5CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:41:00.871050Z"},"content_sha256":"4ba790ae92f07fe741522d504c96c4ee919601fdee88f50f78973a944b458c0b","schema_version":"1.0","event_id":"sha256:4ba790ae92f07fe741522d504c96c4ee919601fdee88f50f78973a944b458c0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:U2WIG2D5EPQHZHN75BUQBCNBEF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-body Recombination of Lithium-6 Atoms with Large Negative Scattering Lengths","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"cond-mat.other","authors_text":"Daekyoung Kang, Eric Braaten, H.-W. Hammer, Lucas Platter","submitted_at":"2008-11-21T16:45:53Z","abstract_excerpt":"The 3-body recombination rate at threshold for distinguishable atoms with large negative pair scattering lengths is calculated in the zero-range approximation. The only parameters in this limit are the 3 scattering lengths and the Efimov parameter, which can be complex valued. We provide semi-analytic expressions for the cases of 2 or 3 equal scattering lengths and we obtain numerical results for the general case of 3 different scattering lengths. Our general result is applied to the three lowest hyperfine states of Lithium-6 atoms. Comparisons with recent experiments provide indications of lo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.3578","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":"2026-05-18T03:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"skPHfobWEjLf/4XgKmrT8BOWOS6f0dcdqtQvZKcxT1o1JAa/3V2p9SpbZIhLZQnqt3jKE8cIToXEI/AQMFIrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:41:00.871430Z"},"content_sha256":"e4878d229e60e3d660da62b24f5414e683450a8554bdc3c8f9935fa6e2966171","schema_version":"1.0","event_id":"sha256:e4878d229e60e3d660da62b24f5414e683450a8554bdc3c8f9935fa6e2966171"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U2WIG2D5EPQHZHN75BUQBCNBEF/bundle.json","state_url":"https://pith.science/pith/U2WIG2D5EPQHZHN75BUQBCNBEF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U2WIG2D5EPQHZHN75BUQBCNBEF/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":"2026-05-27T07:41:00Z","links":{"resolver":"https://pith.science/pith/U2WIG2D5EPQHZHN75BUQBCNBEF","bundle":"https://pith.science/pith/U2WIG2D5EPQHZHN75BUQBCNBEF/bundle.json","state":"https://pith.science/pith/U2WIG2D5EPQHZHN75BUQBCNBEF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U2WIG2D5EPQHZHN75BUQBCNBEF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:U2WIG2D5EPQHZHN75BUQBCNBEF","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":"e9d4380ebecf043c3e83040a17332c37a0d5d82f513fa3a975cebbb1e2cdede7","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-11-21T16:45:53Z","title_canon_sha256":"089bf003190957605c020f225ea8f839c6d22293482042b7db645e2a4caf7360"},"schema_version":"1.0","source":{"id":"0811.3578","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.3578","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"0811.3578v2","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.3578","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"U2WIG2D5EPQH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"U2WIG2D5EPQHZHN7","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"U2WIG2D5","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:e4878d229e60e3d660da62b24f5414e683450a8554bdc3c8f9935fa6e2966171","target":"graph","created_at":"2026-05-18T03:24:09Z","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 3-body recombination rate at threshold for distinguishable atoms with large negative pair scattering lengths is calculated in the zero-range approximation. The only parameters in this limit are the 3 scattering lengths and the Efimov parameter, which can be complex valued. We provide semi-analytic expressions for the cases of 2 or 3 equal scattering lengths and we obtain numerical results for the general case of 3 different scattering lengths. Our general result is applied to the three lowest hyperfine states of Lithium-6 atoms. Comparisons with recent experiments provide indications of lo","authors_text":"Daekyoung Kang, Eric Braaten, H.-W. Hammer, Lucas Platter","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-11-21T16:45:53Z","title":"Three-body Recombination of Lithium-6 Atoms with Large Negative Scattering Lengths"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.3578","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":"sha256:4ba790ae92f07fe741522d504c96c4ee919601fdee88f50f78973a944b458c0b","target":"record","created_at":"2026-05-18T03:24:09Z","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":"e9d4380ebecf043c3e83040a17332c37a0d5d82f513fa3a975cebbb1e2cdede7","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-11-21T16:45:53Z","title_canon_sha256":"089bf003190957605c020f225ea8f839c6d22293482042b7db645e2a4caf7360"},"schema_version":"1.0","source":{"id":"0811.3578","kind":"arxiv","version":2}},"canonical_sha256":"a6ac83687d23e07c9dbfe8690089a1216eb5e9528c58649ec2892c4093f90f0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6ac83687d23e07c9dbfe8690089a1216eb5e9528c58649ec2892c4093f90f0b","first_computed_at":"2026-05-18T03:24:09.000696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:09.000696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EVA5pg4llwYXpkoA1HwapAOztTbzxNRgJFQZJUynjVtKSZXfzy+oUe8O9pr0ZVQwYiYEaDtvp3uqJRS4hcRbDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:09.001297Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.3578","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ba790ae92f07fe741522d504c96c4ee919601fdee88f50f78973a944b458c0b","sha256:e4878d229e60e3d660da62b24f5414e683450a8554bdc3c8f9935fa6e2966171"],"state_sha256":"7736945759f5ac5fde40cb764ada8ce20654eb341ff79f0ec5852cd5431a546b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qwKLNFi55a7r5AtGJ4+mIpIfun8jfyQQZ2YXzYIf5kolj4CaB6VlaTVunmFEU8BSGYlGyBhA5GdO1N3naeMxCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:41:00.873861Z","bundle_sha256":"3003b72efc4a5d3c447f3bdff81c65650f57d7c0288d443d836e986918f9ad88"}}