{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YWD4DV4MDDWPASDZHH2DE2VEKH","short_pith_number":"pith:YWD4DV4M","canonical_record":{"source":{"id":"1308.2174","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-09T16:43:32Z","cross_cats_sorted":[],"title_canon_sha256":"ebb23478ab563478a7eadbc6e182a8a775de7b1345c1b75385a32bfe6eb3ccb5","abstract_canon_sha256":"63d9969ef13a3ac90946c3678c2de1613ab375a82432f1c831774e89b5d20ea5"},"schema_version":"1.0"},"canonical_sha256":"c587c1d78c18ecf0487939f4326aa451d8adbb6410b02d22701da4bd62e8ca6b","source":{"kind":"arxiv","id":"1308.2174","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2174","created_at":"2026-05-18T03:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2174v2","created_at":"2026-05-18T03:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2174","created_at":"2026-05-18T03:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"YWD4DV4MDDWP","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YWD4DV4MDDWPASDZ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YWD4DV4M","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YWD4DV4MDDWPASDZHH2DE2VEKH","target":"record","payload":{"canonical_record":{"source":{"id":"1308.2174","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-09T16:43:32Z","cross_cats_sorted":[],"title_canon_sha256":"ebb23478ab563478a7eadbc6e182a8a775de7b1345c1b75385a32bfe6eb3ccb5","abstract_canon_sha256":"63d9969ef13a3ac90946c3678c2de1613ab375a82432f1c831774e89b5d20ea5"},"schema_version":"1.0"},"canonical_sha256":"c587c1d78c18ecf0487939f4326aa451d8adbb6410b02d22701da4bd62e8ca6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:21.977474Z","signature_b64":"b9S09pHn5J/bWH7hJCNfCL6r23iE8wMLo3ooFUK7nKMByjDsMFie/R1luevMJeAxwTrecnO4i60KaoVLlS8YAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c587c1d78c18ecf0487939f4326aa451d8adbb6410b02d22701da4bd62e8ca6b","last_reissued_at":"2026-05-18T03:09:21.976753Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:21.976753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.2174","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":"2026-05-18T03:09:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d9o1zSn76Hi9mZarKRdd4wif6sDxA1mpN4aUNBpIx6EYJUzECoSF71GJrqg8fGfFAky5stf6XLw8OdpNyKIPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:31:27.944119Z"},"content_sha256":"e52400607b7793d7e612bf877ffd231311158ca006cc07f38d0a5eb0f84ec61f","schema_version":"1.0","event_id":"sha256:e52400607b7793d7e612bf877ffd231311158ca006cc07f38d0a5eb0f84ec61f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YWD4DV4MDDWPASDZHH2DE2VEKH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pair tunneling of two atoms out of a trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Massimo Rontani","submitted_at":"2013-08-09T16:43:32Z","abstract_excerpt":"A simple theory for the tunneling of two cold atoms out of a trap in the presence of an attractive contact force is developed. Two competing decay channels, respectively for single-atom and bound-pair tunneling, contribute independently to the decay law of the mean atom number in the trap. The single-atom tunneling rate is obtained through the quasiparticle wave function formalism. For pair tunneling an effective equation for the center-of-mass motion is derived, so the calculation of the corresponding tunneling rate is again reduced to a simpler one-body problem. The predicted dependence of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2174","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":"2026-05-18T03:09:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xoEkDhInPoBJce8gWhxi2L2z4EZJTMcaLyTa4uo9x1DwZVaDwp6T9y8uPxzQ1hKAo1Uf7snuIPwGeAojW8fcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:31:27.944884Z"},"content_sha256":"c8957f6ef55a9c6bca35d37846645c3fd30bfceee07cce32dbd711c4130689d6","schema_version":"1.0","event_id":"sha256:c8957f6ef55a9c6bca35d37846645c3fd30bfceee07cce32dbd711c4130689d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YWD4DV4MDDWPASDZHH2DE2VEKH/bundle.json","state_url":"https://pith.science/pith/YWD4DV4MDDWPASDZHH2DE2VEKH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YWD4DV4MDDWPASDZHH2DE2VEKH/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":"2026-06-06T22:31:27Z","links":{"resolver":"https://pith.science/pith/YWD4DV4MDDWPASDZHH2DE2VEKH","bundle":"https://pith.science/pith/YWD4DV4MDDWPASDZHH2DE2VEKH/bundle.json","state":"https://pith.science/pith/YWD4DV4MDDWPASDZHH2DE2VEKH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YWD4DV4MDDWPASDZHH2DE2VEKH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YWD4DV4MDDWPASDZHH2DE2VEKH","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":"63d9969ef13a3ac90946c3678c2de1613ab375a82432f1c831774e89b5d20ea5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-09T16:43:32Z","title_canon_sha256":"ebb23478ab563478a7eadbc6e182a8a775de7b1345c1b75385a32bfe6eb3ccb5"},"schema_version":"1.0","source":{"id":"1308.2174","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2174","created_at":"2026-05-18T03:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2174v2","created_at":"2026-05-18T03:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2174","created_at":"2026-05-18T03:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"YWD4DV4MDDWP","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YWD4DV4MDDWPASDZ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YWD4DV4M","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:c8957f6ef55a9c6bca35d37846645c3fd30bfceee07cce32dbd711c4130689d6","target":"graph","created_at":"2026-05-18T03:09:21Z","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":"A simple theory for the tunneling of two cold atoms out of a trap in the presence of an attractive contact force is developed. Two competing decay channels, respectively for single-atom and bound-pair tunneling, contribute independently to the decay law of the mean atom number in the trap. The single-atom tunneling rate is obtained through the quasiparticle wave function formalism. For pair tunneling an effective equation for the center-of-mass motion is derived, so the calculation of the corresponding tunneling rate is again reduced to a simpler one-body problem. The predicted dependence of t","authors_text":"Massimo Rontani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-09T16:43:32Z","title":"Pair tunneling of two atoms out of a trap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2174","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:e52400607b7793d7e612bf877ffd231311158ca006cc07f38d0a5eb0f84ec61f","target":"record","created_at":"2026-05-18T03:09:21Z","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":"63d9969ef13a3ac90946c3678c2de1613ab375a82432f1c831774e89b5d20ea5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-09T16:43:32Z","title_canon_sha256":"ebb23478ab563478a7eadbc6e182a8a775de7b1345c1b75385a32bfe6eb3ccb5"},"schema_version":"1.0","source":{"id":"1308.2174","kind":"arxiv","version":2}},"canonical_sha256":"c587c1d78c18ecf0487939f4326aa451d8adbb6410b02d22701da4bd62e8ca6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c587c1d78c18ecf0487939f4326aa451d8adbb6410b02d22701da4bd62e8ca6b","first_computed_at":"2026-05-18T03:09:21.976753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:21.976753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b9S09pHn5J/bWH7hJCNfCL6r23iE8wMLo3ooFUK7nKMByjDsMFie/R1luevMJeAxwTrecnO4i60KaoVLlS8YAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:21.977474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.2174","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e52400607b7793d7e612bf877ffd231311158ca006cc07f38d0a5eb0f84ec61f","sha256:c8957f6ef55a9c6bca35d37846645c3fd30bfceee07cce32dbd711c4130689d6"],"state_sha256":"1b155ada1643fe25fb87d26e8de48fb34d0849f6d3c004134b8e37fef36410ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5+YF8W5wtzACQXKEcto8ltQwF/pUC8r/Ig96kUvwGWkd5a897qfQfEwQfftge6bOVKzheLa5eH5aPqufLG15Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T22:31:27.948599Z","bundle_sha256":"2223bed2b12b7cc5b6858a25809b92de7a0e5e98cbe7095c8fe113b38c6a6225"}}