{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LZTZ3YOG5RBJB5JQQFSWNQCHII","short_pith_number":"pith:LZTZ3YOG","canonical_record":{"source":{"id":"2403.15290","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-03-22T15:39:56Z","cross_cats_sorted":["cond-mat.quant-gas","nucl-th"],"title_canon_sha256":"7d638288843236eaac43baadc84fd7e6da5ea4c0ed49d39e7e1d477875485722","abstract_canon_sha256":"c6ed3729807dedb0ee766dd9dd5cdb735a9d66d80a1f979d5a62da5289f89776"},"schema_version":"1.0"},"canonical_sha256":"5e679de1c6ec4290f530816566c04742129d502e65d0624778544f227438d4e7","source":{"kind":"arxiv","id":"2403.15290","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.15290","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"2403.15290v1","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.15290","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"LZTZ3YOG5RBJ","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_16","alias_value":"LZTZ3YOG5RBJB5JQ","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_8","alias_value":"LZTZ3YOG","created_at":"2026-07-05T07:59:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LZTZ3YOG5RBJB5JQQFSWNQCHII","target":"record","payload":{"canonical_record":{"source":{"id":"2403.15290","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-03-22T15:39:56Z","cross_cats_sorted":["cond-mat.quant-gas","nucl-th"],"title_canon_sha256":"7d638288843236eaac43baadc84fd7e6da5ea4c0ed49d39e7e1d477875485722","abstract_canon_sha256":"c6ed3729807dedb0ee766dd9dd5cdb735a9d66d80a1f979d5a62da5289f89776"},"schema_version":"1.0"},"canonical_sha256":"5e679de1c6ec4290f530816566c04742129d502e65d0624778544f227438d4e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:59:32.919270Z","signature_b64":"A9hq4B/X8GCLbt6VfW0IG3y26uEeHRCqHnM531T4mhn43t3AbeFnNdXNGr5aaAoYjHTQCubcohnBCyXWdKQxBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e679de1c6ec4290f530816566c04742129d502e65d0624778544f227438d4e7","last_reissued_at":"2026-07-05T07:59:32.918843Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:59:32.918843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.15290","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":"2026-07-05T07:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2mXo7x0NJstHH4cjimP8SLCQ9iCAxW+DAB+vxK5hXHHqpBZahUSxv4TS4KxPkF/VL2k+ge99tnVOTEo9vVp4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T07:06:48.977854Z"},"content_sha256":"9b2e0ae9f5bed48fdc95541aee1115e7d2a56e8ce6f93414d5c6e793c762cb5b","schema_version":"1.0","event_id":"sha256:9b2e0ae9f5bed48fdc95541aee1115e7d2a56e8ce6f93414d5c6e793c762cb5b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LZTZ3YOG5RBJB5JQQFSWNQCHII","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Contact interactions, self-adjoint extensions, and low-energy scattering","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.quant-gas","nucl-th"],"primary_cat":"quant-ph","authors_text":"Brian C. Tiburzi, Daniel R. DeSena","submitted_at":"2024-03-22T15:39:56Z","abstract_excerpt":"Low-energy scattering is well described by the effective-range expansion. In quantum mechanics, a tower of contact interactions can generate terms in this expansion after renormalization. Scattering parameters are also encoded in the self-adjoint extension of the Hamiltonian. We briefly review this well-known result for two particles with s-wave interactions using impenetrable self-adjoint extensions, including the case of harmonically trapped two-particle states. By contrast, the one-dimensional scattering problem is surprisingly intricate. We show that the families of self-adjoint extensions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.15290","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/2403.15290/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":"2026-07-05T07:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KesajyM2sfQSPCERFtCSxn6brCAHTgw5iO5u4EtgY9Ff4WjPvrWz40gfmApmO0GbmNkfz25yYl3hdoOvgt2VCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T07:06:48.978253Z"},"content_sha256":"2daa39b911078f427e0034749d38eb380668ae932b819957424bae44bf461fb2","schema_version":"1.0","event_id":"sha256:2daa39b911078f427e0034749d38eb380668ae932b819957424bae44bf461fb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LZTZ3YOG5RBJB5JQQFSWNQCHII/bundle.json","state_url":"https://pith.science/pith/LZTZ3YOG5RBJB5JQQFSWNQCHII/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LZTZ3YOG5RBJB5JQQFSWNQCHII/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":"2026-07-07T07:06:48Z","links":{"resolver":"https://pith.science/pith/LZTZ3YOG5RBJB5JQQFSWNQCHII","bundle":"https://pith.science/pith/LZTZ3YOG5RBJB5JQQFSWNQCHII/bundle.json","state":"https://pith.science/pith/LZTZ3YOG5RBJB5JQQFSWNQCHII/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LZTZ3YOG5RBJB5JQQFSWNQCHII/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LZTZ3YOG5RBJB5JQQFSWNQCHII","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":"c6ed3729807dedb0ee766dd9dd5cdb735a9d66d80a1f979d5a62da5289f89776","cross_cats_sorted":["cond-mat.quant-gas","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-03-22T15:39:56Z","title_canon_sha256":"7d638288843236eaac43baadc84fd7e6da5ea4c0ed49d39e7e1d477875485722"},"schema_version":"1.0","source":{"id":"2403.15290","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.15290","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"2403.15290v1","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.15290","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"LZTZ3YOG5RBJ","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_16","alias_value":"LZTZ3YOG5RBJB5JQ","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_8","alias_value":"LZTZ3YOG","created_at":"2026-07-05T07:59:32Z"}],"graph_snapshots":[{"event_id":"sha256:2daa39b911078f427e0034749d38eb380668ae932b819957424bae44bf461fb2","target":"graph","created_at":"2026-07-05T07:59:32Z","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/2403.15290/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Low-energy scattering is well described by the effective-range expansion. In quantum mechanics, a tower of contact interactions can generate terms in this expansion after renormalization. Scattering parameters are also encoded in the self-adjoint extension of the Hamiltonian. We briefly review this well-known result for two particles with s-wave interactions using impenetrable self-adjoint extensions, including the case of harmonically trapped two-particle states. By contrast, the one-dimensional scattering problem is surprisingly intricate. We show that the families of self-adjoint extensions","authors_text":"Brian C. Tiburzi, Daniel R. DeSena","cross_cats":["cond-mat.quant-gas","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-03-22T15:39:56Z","title":"Contact interactions, self-adjoint extensions, and low-energy scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.15290","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":"sha256:9b2e0ae9f5bed48fdc95541aee1115e7d2a56e8ce6f93414d5c6e793c762cb5b","target":"record","created_at":"2026-07-05T07:59:32Z","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":"c6ed3729807dedb0ee766dd9dd5cdb735a9d66d80a1f979d5a62da5289f89776","cross_cats_sorted":["cond-mat.quant-gas","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-03-22T15:39:56Z","title_canon_sha256":"7d638288843236eaac43baadc84fd7e6da5ea4c0ed49d39e7e1d477875485722"},"schema_version":"1.0","source":{"id":"2403.15290","kind":"arxiv","version":1}},"canonical_sha256":"5e679de1c6ec4290f530816566c04742129d502e65d0624778544f227438d4e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e679de1c6ec4290f530816566c04742129d502e65d0624778544f227438d4e7","first_computed_at":"2026-07-05T07:59:32.918843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:59:32.918843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A9hq4B/X8GCLbt6VfW0IG3y26uEeHRCqHnM531T4mhn43t3AbeFnNdXNGr5aaAoYjHTQCubcohnBCyXWdKQxBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:59:32.919270Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.15290","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b2e0ae9f5bed48fdc95541aee1115e7d2a56e8ce6f93414d5c6e793c762cb5b","sha256:2daa39b911078f427e0034749d38eb380668ae932b819957424bae44bf461fb2"],"state_sha256":"23f31d1e09e2fd20c0c9d1a0f6e9aff0974dc6cb4b52b848da8d286ad6f4bf6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OUSIi0nIZlQkKGVez+TyJxj+qHEp43E0j7vyuEdknfmix8iQNb5EPsSsXGiV94zR37vV1uM1DpbYRBXbqBZeAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T07:06:48.980336Z","bundle_sha256":"a5c5316c326964b6a64c6d2e6849c13d9af8aad046526d226f9e997b64a5a904"}}