{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3YRH4CW74REIVLL4RJF5IZPKIQ","short_pith_number":"pith:3YRH4CW7","canonical_record":{"source":{"id":"1101.2854","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-14T16:27:06Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"c4214667a0d1c6bd90e32afb3bcfec1e68684092c19251f314ab62e6771ea2b4","abstract_canon_sha256":"0cd89c181504fd190f1618815348274e18b373353633ee18167acec7ecabf669"},"schema_version":"1.0"},"canonical_sha256":"de227e0adfe4488aad7c8a4bd465ea44179a2917ab0d298307b404392609c05b","source":{"kind":"arxiv","id":"1101.2854","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2854","created_at":"2026-05-18T04:23:02Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2854v2","created_at":"2026-05-18T04:23:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2854","created_at":"2026-05-18T04:23:02Z"},{"alias_kind":"pith_short_12","alias_value":"3YRH4CW74REI","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"3YRH4CW74REIVLL4","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"3YRH4CW7","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3YRH4CW74REIVLL4RJF5IZPKIQ","target":"record","payload":{"canonical_record":{"source":{"id":"1101.2854","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-14T16:27:06Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"c4214667a0d1c6bd90e32afb3bcfec1e68684092c19251f314ab62e6771ea2b4","abstract_canon_sha256":"0cd89c181504fd190f1618815348274e18b373353633ee18167acec7ecabf669"},"schema_version":"1.0"},"canonical_sha256":"de227e0adfe4488aad7c8a4bd465ea44179a2917ab0d298307b404392609c05b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:02.450002Z","signature_b64":"AOuFb/LFo3JRbM6cjbgy1bLTdIzCBSCYO7oQkU7FYid5LNKjInvbhWh4LnGfQwTcBpY6ufWQQqGFRpsTHX8FBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de227e0adfe4488aad7c8a4bd465ea44179a2917ab0d298307b404392609c05b","last_reissued_at":"2026-05-18T04:23:02.449397Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:02.449397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.2854","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":"2026-05-18T04:23:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v0eEuE6nS01XToryhTfhESsy/HuIl+2bec19fBUzGxd1kyfL0aTiqKf6YuPMTuzOgx/ju6qig0H8bY48BTy9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:11:21.038910Z"},"content_sha256":"8440ba9069d77467fa982faf8d147d073e885a38b599a72003bf8017883a3f76","schema_version":"1.0","event_id":"sha256:8440ba9069d77467fa982faf8d147d073e885a38b599a72003bf8017883a3f76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3YRH4CW74REIVLL4RJF5IZPKIQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal Relations for Identical Bosons from 3-Body Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Daekyoung Kang, Eric Braaten, Lucas Platter","submitted_at":"2011-01-14T16:27:06Z","abstract_excerpt":"Systems consisting of identical bosons with a large scattering length satisfy universal relations determined by 2-body physics that are similar to those for fermions with two spin states. They require the momentum distribution to have a large-momentum 1/k^4 tail and the radio-frequency transition rate to have a high-frequency 1/omega^{3/2} tail, both of which are proportional to the 2-body contact. Identical bosons also satisfy additional universal relations that are determined by 3-body physics and involve the 3-body contact, which measures the probability of 3 particles being very close toge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2854","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":"2026-05-18T04:23:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uZM6sylY+7FMsJ79/awyW+0TU0K+HfG8cjODACCEkiXiPE1zauR8/KSaubg4Skt9LprnFbyigaISk4ROocwUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:11:21.039613Z"},"content_sha256":"be908aca85928efa561b3f236936b6e8508c2627b9ab17bd23f0e2d6c6dcae83","schema_version":"1.0","event_id":"sha256:be908aca85928efa561b3f236936b6e8508c2627b9ab17bd23f0e2d6c6dcae83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YRH4CW74REIVLL4RJF5IZPKIQ/bundle.json","state_url":"https://pith.science/pith/3YRH4CW74REIVLL4RJF5IZPKIQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YRH4CW74REIVLL4RJF5IZPKIQ/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":"2026-05-26T11:11:21Z","links":{"resolver":"https://pith.science/pith/3YRH4CW74REIVLL4RJF5IZPKIQ","bundle":"https://pith.science/pith/3YRH4CW74REIVLL4RJF5IZPKIQ/bundle.json","state":"https://pith.science/pith/3YRH4CW74REIVLL4RJF5IZPKIQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YRH4CW74REIVLL4RJF5IZPKIQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3YRH4CW74REIVLL4RJF5IZPKIQ","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":"0cd89c181504fd190f1618815348274e18b373353633ee18167acec7ecabf669","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-14T16:27:06Z","title_canon_sha256":"c4214667a0d1c6bd90e32afb3bcfec1e68684092c19251f314ab62e6771ea2b4"},"schema_version":"1.0","source":{"id":"1101.2854","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2854","created_at":"2026-05-18T04:23:02Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2854v2","created_at":"2026-05-18T04:23:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2854","created_at":"2026-05-18T04:23:02Z"},{"alias_kind":"pith_short_12","alias_value":"3YRH4CW74REI","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"3YRH4CW74REIVLL4","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"3YRH4CW7","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:be908aca85928efa561b3f236936b6e8508c2627b9ab17bd23f0e2d6c6dcae83","target":"graph","created_at":"2026-05-18T04:23:02Z","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":"Systems consisting of identical bosons with a large scattering length satisfy universal relations determined by 2-body physics that are similar to those for fermions with two spin states. They require the momentum distribution to have a large-momentum 1/k^4 tail and the radio-frequency transition rate to have a high-frequency 1/omega^{3/2} tail, both of which are proportional to the 2-body contact. Identical bosons also satisfy additional universal relations that are determined by 3-body physics and involve the 3-body contact, which measures the probability of 3 particles being very close toge","authors_text":"Daekyoung Kang, Eric Braaten, Lucas Platter","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-14T16:27:06Z","title":"Universal Relations for Identical Bosons from 3-Body Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2854","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":"sha256:8440ba9069d77467fa982faf8d147d073e885a38b599a72003bf8017883a3f76","target":"record","created_at":"2026-05-18T04:23:02Z","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":"0cd89c181504fd190f1618815348274e18b373353633ee18167acec7ecabf669","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-14T16:27:06Z","title_canon_sha256":"c4214667a0d1c6bd90e32afb3bcfec1e68684092c19251f314ab62e6771ea2b4"},"schema_version":"1.0","source":{"id":"1101.2854","kind":"arxiv","version":2}},"canonical_sha256":"de227e0adfe4488aad7c8a4bd465ea44179a2917ab0d298307b404392609c05b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de227e0adfe4488aad7c8a4bd465ea44179a2917ab0d298307b404392609c05b","first_computed_at":"2026-05-18T04:23:02.449397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:02.449397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AOuFb/LFo3JRbM6cjbgy1bLTdIzCBSCYO7oQkU7FYid5LNKjInvbhWh4LnGfQwTcBpY6ufWQQqGFRpsTHX8FBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:02.450002Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2854","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8440ba9069d77467fa982faf8d147d073e885a38b599a72003bf8017883a3f76","sha256:be908aca85928efa561b3f236936b6e8508c2627b9ab17bd23f0e2d6c6dcae83"],"state_sha256":"44281e31c451d91c1eaa63f3b9406ad71a024c83a8f1d7cb55082fc654e47446"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N39G65D5ybgDe2v6sCPl9k0n/9wJtSJTSHTAkd8pWWUsn8iwKd35DXvpM/JREseNNk6wKToSPDCKMqynNzGPBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:11:21.043572Z","bundle_sha256":"d51d8e0ceecbb6acb7764e2d11e07422d0405206da12da9423c8561008ec79c2"}}