{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:UPBAU3OWRY3VBBF4GPXJES7GHG","short_pith_number":"pith:UPBAU3OW","canonical_record":{"source":{"id":"2303.09464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2023-03-16T16:36:11Z","cross_cats_sorted":[],"title_canon_sha256":"c9fbdad6668c098b4c40e2a635db5e29b17428e4b72e05e56beef6f4698efb7d","abstract_canon_sha256":"285189f7a78e277fa72381732d257dca295fd0676785448faf1b1af1b08b09bb"},"schema_version":"1.0"},"canonical_sha256":"a3c20a6dd68e375084bc33ee924be639bd335bc2a3910f9710335617dc742c7d","source":{"kind":"arxiv","id":"2303.09464","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.09464","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"2303.09464v1","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.09464","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"UPBAU3OWRY3V","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"pith_short_16","alias_value":"UPBAU3OWRY3VBBF4","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"pith_short_8","alias_value":"UPBAU3OW","created_at":"2026-07-05T05:51:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:UPBAU3OWRY3VBBF4GPXJES7GHG","target":"record","payload":{"canonical_record":{"source":{"id":"2303.09464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2023-03-16T16:36:11Z","cross_cats_sorted":[],"title_canon_sha256":"c9fbdad6668c098b4c40e2a635db5e29b17428e4b72e05e56beef6f4698efb7d","abstract_canon_sha256":"285189f7a78e277fa72381732d257dca295fd0676785448faf1b1af1b08b09bb"},"schema_version":"1.0"},"canonical_sha256":"a3c20a6dd68e375084bc33ee924be639bd335bc2a3910f9710335617dc742c7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:51:53.839866Z","signature_b64":"wtyGw6tfmejvgkdcwSXicxCj7e3Ek15gaiPJ/KCVdE4i7/12zUzFMuvzulCZdknrUJTbcZR8xIGIqiAXiFeyBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3c20a6dd68e375084bc33ee924be639bd335bc2a3910f9710335617dc742c7d","last_reissued_at":"2026-07-05T05:51:53.839366Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:51:53.839366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.09464","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:51:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"snBc7gcolkQNdHLerMIKzxz45WFpfhLUNTQmfJrjlkVA2VOtVQYcb94zOiV6UH+nbtZKeh3BK2cYagsTZzWZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T10:43:36.083289Z"},"content_sha256":"1e7b1b790a942875f77d89e78be5d0e82ade39a07411230dd550e636bc99f448","schema_version":"1.0","event_id":"sha256:1e7b1b790a942875f77d89e78be5d0e82ade39a07411230dd550e636bc99f448"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:UPBAU3OWRY3VBBF4GPXJES7GHG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The discrete Green's function method for wave packet expansion via the free Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Igor Mazets, Jan-Frederik Mennemann, Norbert J. Mauser, Sebastian Erne","submitted_at":"2023-03-16T16:36:11Z","abstract_excerpt":"We consider the expansion of wave packets governed by the free Schr\\\"odinger equation. This seemingly simple task plays an important role in simulations of various quantum experiments and in particular in the field of matter-wave interferometry. The initial tight confinement results in a very fast expansion of the wave function at later times which significantly complicates an efficient and precise numerical evaluation. In many practical cases the expansion time is too short for the validity of the stationary phase approximation and too long for an efficient application of Fourier collocation-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.09464","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.09464/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:51:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iKLAEcxZ30pMnv2llOBBTX4pNk+qwrjNHbVtWRO0e14a/c547U/1x3D6eA2fzUcBssr1dt/0fnKqvGudwPFjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T10:43:36.083690Z"},"content_sha256":"a5a21d10923f55f02c07526432d6aeee6cb159c8033a9989bdce6770ee427d60","schema_version":"1.0","event_id":"sha256:a5a21d10923f55f02c07526432d6aeee6cb159c8033a9989bdce6770ee427d60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPBAU3OWRY3VBBF4GPXJES7GHG/bundle.json","state_url":"https://pith.science/pith/UPBAU3OWRY3VBBF4GPXJES7GHG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPBAU3OWRY3VBBF4GPXJES7GHG/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":"2026-07-06T10:43:36Z","links":{"resolver":"https://pith.science/pith/UPBAU3OWRY3VBBF4GPXJES7GHG","bundle":"https://pith.science/pith/UPBAU3OWRY3VBBF4GPXJES7GHG/bundle.json","state":"https://pith.science/pith/UPBAU3OWRY3VBBF4GPXJES7GHG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPBAU3OWRY3VBBF4GPXJES7GHG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UPBAU3OWRY3VBBF4GPXJES7GHG","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":"285189f7a78e277fa72381732d257dca295fd0676785448faf1b1af1b08b09bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2023-03-16T16:36:11Z","title_canon_sha256":"c9fbdad6668c098b4c40e2a635db5e29b17428e4b72e05e56beef6f4698efb7d"},"schema_version":"1.0","source":{"id":"2303.09464","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.09464","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"2303.09464v1","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.09464","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"UPBAU3OWRY3V","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"pith_short_16","alias_value":"UPBAU3OWRY3VBBF4","created_at":"2026-07-05T05:51:53Z"},{"alias_kind":"pith_short_8","alias_value":"UPBAU3OW","created_at":"2026-07-05T05:51:53Z"}],"graph_snapshots":[{"event_id":"sha256:a5a21d10923f55f02c07526432d6aeee6cb159c8033a9989bdce6770ee427d60","target":"graph","created_at":"2026-07-05T05:51:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2303.09464/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the expansion of wave packets governed by the free Schr\\\"odinger equation. This seemingly simple task plays an important role in simulations of various quantum experiments and in particular in the field of matter-wave interferometry. The initial tight confinement results in a very fast expansion of the wave function at later times which significantly complicates an efficient and precise numerical evaluation. In many practical cases the expansion time is too short for the validity of the stationary phase approximation and too long for an efficient application of Fourier collocation-","authors_text":"Igor Mazets, Jan-Frederik Mennemann, Norbert J. Mauser, Sebastian Erne","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2023-03-16T16:36:11Z","title":"The discrete Green's function method for wave packet expansion via the free Schr\\\"odinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.09464","kind":"arxiv","version":1},"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":"sha256:1e7b1b790a942875f77d89e78be5d0e82ade39a07411230dd550e636bc99f448","target":"record","created_at":"2026-07-05T05:51:53Z","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":"285189f7a78e277fa72381732d257dca295fd0676785448faf1b1af1b08b09bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2023-03-16T16:36:11Z","title_canon_sha256":"c9fbdad6668c098b4c40e2a635db5e29b17428e4b72e05e56beef6f4698efb7d"},"schema_version":"1.0","source":{"id":"2303.09464","kind":"arxiv","version":1}},"canonical_sha256":"a3c20a6dd68e375084bc33ee924be639bd335bc2a3910f9710335617dc742c7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3c20a6dd68e375084bc33ee924be639bd335bc2a3910f9710335617dc742c7d","first_computed_at":"2026-07-05T05:51:53.839366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:51:53.839366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wtyGw6tfmejvgkdcwSXicxCj7e3Ek15gaiPJ/KCVdE4i7/12zUzFMuvzulCZdknrUJTbcZR8xIGIqiAXiFeyBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:51:53.839866Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.09464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e7b1b790a942875f77d89e78be5d0e82ade39a07411230dd550e636bc99f448","sha256:a5a21d10923f55f02c07526432d6aeee6cb159c8033a9989bdce6770ee427d60"],"state_sha256":"1e12509d2484a8c05f6134033c8e956a329c824c9fd51a24aab7b989fadb62d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i0p/vQpAj5K9jocmqGJNqB2O2Wg5bm4dqUvT2ooI8wcN+7iqRMZT9BcZ8sVI3aviXBR0a+WUbXvTS7Lqs8LDAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T10:43:36.086100Z","bundle_sha256":"fb830abfed8299206425e5ea7cd59735a736ffaf3d72d618f55e06598556c10f"}}