{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:A5VNCPZQ5M7AY3BF5WSJFFQAIL","short_pith_number":"pith:A5VNCPZQ","canonical_record":{"source":{"id":"0911.0260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-02T20:36:17Z","cross_cats_sorted":[],"title_canon_sha256":"a8d4327db5dcf5def7ac31f58a5368d4df0d3e061acdcd8f2c68ae6f2240be96","abstract_canon_sha256":"4a2e25f85c8ce00bfaab675bc1f1942b45a8e4fd4bbcd909603048523a0b4e97"},"schema_version":"1.0"},"canonical_sha256":"076ad13f30eb3e0c6c25eda492960042e689af47b29a088edb9fb8aab489cc40","source":{"kind":"arxiv","id":"0911.0260","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.0260","created_at":"2026-05-18T02:11:00Z"},{"alias_kind":"arxiv_version","alias_value":"0911.0260v2","created_at":"2026-05-18T02:11:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.0260","created_at":"2026-05-18T02:11:00Z"},{"alias_kind":"pith_short_12","alias_value":"A5VNCPZQ5M7A","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"A5VNCPZQ5M7AY3BF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"A5VNCPZQ","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:A5VNCPZQ5M7AY3BF5WSJFFQAIL","target":"record","payload":{"canonical_record":{"source":{"id":"0911.0260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-02T20:36:17Z","cross_cats_sorted":[],"title_canon_sha256":"a8d4327db5dcf5def7ac31f58a5368d4df0d3e061acdcd8f2c68ae6f2240be96","abstract_canon_sha256":"4a2e25f85c8ce00bfaab675bc1f1942b45a8e4fd4bbcd909603048523a0b4e97"},"schema_version":"1.0"},"canonical_sha256":"076ad13f30eb3e0c6c25eda492960042e689af47b29a088edb9fb8aab489cc40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:00.769598Z","signature_b64":"IrjU3tAWbCXTgdLTtoRAXXWgTk1P+81aJy67qOMUAwKXUIO0qA7oUguL0iTjbHy4BTOBA7D1br5eaf0M1MsVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"076ad13f30eb3e0c6c25eda492960042e689af47b29a088edb9fb8aab489cc40","last_reissued_at":"2026-05-18T02:11:00.768789Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:00.768789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.0260","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":"2026-05-18T02:11:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DfeDwaJnVKGMgKExMmf+EPXIHdBOo0Ux1dVKBU2N2xO+mCJuQWGqJrXnbtsAMgwGhv75SIqC6UyCNBiiOdBUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:35:41.392556Z"},"content_sha256":"b2da735ccd96309853d2d505953e8d6645a8b27f4614638b2c952732e9a4929e","schema_version":"1.0","event_id":"sha256:b2da735ccd96309853d2d505953e8d6645a8b27f4614638b2c952732e9a4929e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:A5VNCPZQ5M7AY3BF5WSJFFQAIL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reflection of a Lieb-Liniger wave packet from the hard-wall potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"D. Juki\\'c, H. Buljan","submitted_at":"2009-11-02T20:36:17Z","abstract_excerpt":"Nonequilibrium dynamics of a Lieb-Liniger system in the presence of the hard-wall potential is studied. We demonstrate that a time-dependent wave function, which describes quantum dynamics of a Lieb-Liniger wave packet comprised of N particles, can be found by solving an $N$-dimensional Fourier transform; this follows from the symmetry properties of the many-body eigenstates in the presence of the hard-wall potential. The presented formalism is employed to numerically calculate reflection of a few-body wave packet from the hard wall for various interaction strengths and incident momenta."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.0260","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":"2026-05-18T02:11:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L5QZu+NF5nSq6YpUE7t4bV6UE462bJUCT/lKpq+CCwOAh6fpmPpzICmkZpE1MhMNehTsjLKx1KaZy9vtOfOnAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:35:41.392964Z"},"content_sha256":"0968648dfddf711a11582c5c3cb3e487c29fabc1b6f3732e2dacd95f7e128108","schema_version":"1.0","event_id":"sha256:0968648dfddf711a11582c5c3cb3e487c29fabc1b6f3732e2dacd95f7e128108"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A5VNCPZQ5M7AY3BF5WSJFFQAIL/bundle.json","state_url":"https://pith.science/pith/A5VNCPZQ5M7AY3BF5WSJFFQAIL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A5VNCPZQ5M7AY3BF5WSJFFQAIL/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":"2026-05-28T14:35:41Z","links":{"resolver":"https://pith.science/pith/A5VNCPZQ5M7AY3BF5WSJFFQAIL","bundle":"https://pith.science/pith/A5VNCPZQ5M7AY3BF5WSJFFQAIL/bundle.json","state":"https://pith.science/pith/A5VNCPZQ5M7AY3BF5WSJFFQAIL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A5VNCPZQ5M7AY3BF5WSJFFQAIL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:A5VNCPZQ5M7AY3BF5WSJFFQAIL","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":"4a2e25f85c8ce00bfaab675bc1f1942b45a8e4fd4bbcd909603048523a0b4e97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-02T20:36:17Z","title_canon_sha256":"a8d4327db5dcf5def7ac31f58a5368d4df0d3e061acdcd8f2c68ae6f2240be96"},"schema_version":"1.0","source":{"id":"0911.0260","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.0260","created_at":"2026-05-18T02:11:00Z"},{"alias_kind":"arxiv_version","alias_value":"0911.0260v2","created_at":"2026-05-18T02:11:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.0260","created_at":"2026-05-18T02:11:00Z"},{"alias_kind":"pith_short_12","alias_value":"A5VNCPZQ5M7A","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"A5VNCPZQ5M7AY3BF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"A5VNCPZQ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:0968648dfddf711a11582c5c3cb3e487c29fabc1b6f3732e2dacd95f7e128108","target":"graph","created_at":"2026-05-18T02:11:00Z","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":"Nonequilibrium dynamics of a Lieb-Liniger system in the presence of the hard-wall potential is studied. We demonstrate that a time-dependent wave function, which describes quantum dynamics of a Lieb-Liniger wave packet comprised of N particles, can be found by solving an $N$-dimensional Fourier transform; this follows from the symmetry properties of the many-body eigenstates in the presence of the hard-wall potential. The presented formalism is employed to numerically calculate reflection of a few-body wave packet from the hard wall for various interaction strengths and incident momenta.","authors_text":"D. Juki\\'c, H. Buljan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-02T20:36:17Z","title":"Reflection of a Lieb-Liniger wave packet from the hard-wall potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.0260","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:b2da735ccd96309853d2d505953e8d6645a8b27f4614638b2c952732e9a4929e","target":"record","created_at":"2026-05-18T02:11:00Z","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":"4a2e25f85c8ce00bfaab675bc1f1942b45a8e4fd4bbcd909603048523a0b4e97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-02T20:36:17Z","title_canon_sha256":"a8d4327db5dcf5def7ac31f58a5368d4df0d3e061acdcd8f2c68ae6f2240be96"},"schema_version":"1.0","source":{"id":"0911.0260","kind":"arxiv","version":2}},"canonical_sha256":"076ad13f30eb3e0c6c25eda492960042e689af47b29a088edb9fb8aab489cc40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"076ad13f30eb3e0c6c25eda492960042e689af47b29a088edb9fb8aab489cc40","first_computed_at":"2026-05-18T02:11:00.768789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:00.768789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IrjU3tAWbCXTgdLTtoRAXXWgTk1P+81aJy67qOMUAwKXUIO0qA7oUguL0iTjbHy4BTOBA7D1br5eaf0M1MsVAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:00.769598Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.0260","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2da735ccd96309853d2d505953e8d6645a8b27f4614638b2c952732e9a4929e","sha256:0968648dfddf711a11582c5c3cb3e487c29fabc1b6f3732e2dacd95f7e128108"],"state_sha256":"7b7a080cf4b2f31663b15f1783e55ccbed1f0e34d31050c2f1a11540778692ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"la1S4HzvuexAX8PC0wDTCMx2GO7+uxXTT/ReLPAGpr7IO9ycVZy4LR1hmzFD0CIyqfr97Xo9Vz1ZuyhV/OWqBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:35:41.394983Z","bundle_sha256":"2b9b1dfbba9fe0142df99520965ca835d4ffe52ca727a2f9953f4b84eb9c67a9"}}