{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6B4JAOGPIN2QAOT4GA56522DIL","short_pith_number":"pith:6B4JAOGP","canonical_record":{"source":{"id":"1612.05528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-12-16T16:08:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8523097c978a62c2edd00c0d3401c3c63a93e44e7e1b9b95f1352dd3d43290dd","abstract_canon_sha256":"e1246dca1df883917a954bb649531dd5b469dd160d75b3c1bca701a834e237c8"},"schema_version":"1.0"},"canonical_sha256":"f0789038cf4375003a7c303beeeb4342dae8f1e5d78729b0e4edf8bcbecd6fa2","source":{"kind":"arxiv","id":"1612.05528","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05528","created_at":"2026-05-18T00:54:51Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05528v1","created_at":"2026-05-18T00:54:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05528","created_at":"2026-05-18T00:54:51Z"},{"alias_kind":"pith_short_12","alias_value":"6B4JAOGPIN2Q","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6B4JAOGPIN2QAOT4","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6B4JAOGP","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6B4JAOGPIN2QAOT4GA56522DIL","target":"record","payload":{"canonical_record":{"source":{"id":"1612.05528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-12-16T16:08:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8523097c978a62c2edd00c0d3401c3c63a93e44e7e1b9b95f1352dd3d43290dd","abstract_canon_sha256":"e1246dca1df883917a954bb649531dd5b469dd160d75b3c1bca701a834e237c8"},"schema_version":"1.0"},"canonical_sha256":"f0789038cf4375003a7c303beeeb4342dae8f1e5d78729b0e4edf8bcbecd6fa2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:51.599757Z","signature_b64":"nGqw+MkCckXFCr2d+PYQwTZ0fDaCK6SzmSUfTq9mSzarEW2eiDjFYltqx042xZDL4RV/RM34yn14ZRt0vBF5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0789038cf4375003a7c303beeeb4342dae8f1e5d78729b0e4edf8bcbecd6fa2","last_reissued_at":"2026-05-18T00:54:51.599255Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:51.599255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.05528","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":"2026-05-18T00:54:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gp7EiqT8x2f0v60f3WNHb+TAfWl3sMkcJrh84c0tjGulyGGLrxgubCZlSEYNGByMV2NP13xl5bEL7HKQorvCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T17:40:51.441019Z"},"content_sha256":"ef87ce3d3b53def68c76a7917d81cf924b3d63d71bc2a6a1dce4f026e67173d1","schema_version":"1.0","event_id":"sha256:ef87ce3d3b53def68c76a7917d81cf924b3d63d71bc2a6a1dce4f026e67173d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6B4JAOGPIN2QAOT4GA56522DIL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete Multichannel Scattering with step-like potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Isaac Alvarez-Romero, Yurii Lyubarskii","submitted_at":"2016-12-16T16:08:57Z","abstract_excerpt":"We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of particles. We assume that the semi-infinite channels are homogeneous at infinity, but the limit values of the coefficients may vary from one chain to another."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05528","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":""},"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":"2026-05-18T00:54:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xqoz5kBfgQCyfdRYrNHxld4eNVTVIxg5f9+6opmxUDPqmymMuQrOcsjVXBkRvw5MMMIVAn05NtRLkNfYROHaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T17:40:51.441383Z"},"content_sha256":"9c482993e682d0168ee615dafb14cd5d76c0b13cf1326d20a6118c710bc5a1ce","schema_version":"1.0","event_id":"sha256:9c482993e682d0168ee615dafb14cd5d76c0b13cf1326d20a6118c710bc5a1ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6B4JAOGPIN2QAOT4GA56522DIL/bundle.json","state_url":"https://pith.science/pith/6B4JAOGPIN2QAOT4GA56522DIL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6B4JAOGPIN2QAOT4GA56522DIL/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":"2026-07-01T17:40:51Z","links":{"resolver":"https://pith.science/pith/6B4JAOGPIN2QAOT4GA56522DIL","bundle":"https://pith.science/pith/6B4JAOGPIN2QAOT4GA56522DIL/bundle.json","state":"https://pith.science/pith/6B4JAOGPIN2QAOT4GA56522DIL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6B4JAOGPIN2QAOT4GA56522DIL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6B4JAOGPIN2QAOT4GA56522DIL","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":"e1246dca1df883917a954bb649531dd5b469dd160d75b3c1bca701a834e237c8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-12-16T16:08:57Z","title_canon_sha256":"8523097c978a62c2edd00c0d3401c3c63a93e44e7e1b9b95f1352dd3d43290dd"},"schema_version":"1.0","source":{"id":"1612.05528","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05528","created_at":"2026-05-18T00:54:51Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05528v1","created_at":"2026-05-18T00:54:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05528","created_at":"2026-05-18T00:54:51Z"},{"alias_kind":"pith_short_12","alias_value":"6B4JAOGPIN2Q","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6B4JAOGPIN2QAOT4","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6B4JAOGP","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:9c482993e682d0168ee615dafb14cd5d76c0b13cf1326d20a6118c710bc5a1ce","target":"graph","created_at":"2026-05-18T00:54:51Z","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":"We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of particles. We assume that the semi-infinite channels are homogeneous at infinity, but the limit values of the coefficients may vary from one chain to another.","authors_text":"Isaac Alvarez-Romero, Yurii Lyubarskii","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-12-16T16:08:57Z","title":"Discrete Multichannel Scattering with step-like potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05528","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:ef87ce3d3b53def68c76a7917d81cf924b3d63d71bc2a6a1dce4f026e67173d1","target":"record","created_at":"2026-05-18T00:54:51Z","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":"e1246dca1df883917a954bb649531dd5b469dd160d75b3c1bca701a834e237c8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-12-16T16:08:57Z","title_canon_sha256":"8523097c978a62c2edd00c0d3401c3c63a93e44e7e1b9b95f1352dd3d43290dd"},"schema_version":"1.0","source":{"id":"1612.05528","kind":"arxiv","version":1}},"canonical_sha256":"f0789038cf4375003a7c303beeeb4342dae8f1e5d78729b0e4edf8bcbecd6fa2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0789038cf4375003a7c303beeeb4342dae8f1e5d78729b0e4edf8bcbecd6fa2","first_computed_at":"2026-05-18T00:54:51.599255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:51.599255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nGqw+MkCckXFCr2d+PYQwTZ0fDaCK6SzmSUfTq9mSzarEW2eiDjFYltqx042xZDL4RV/RM34yn14ZRt0vBF5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:51.599757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.05528","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef87ce3d3b53def68c76a7917d81cf924b3d63d71bc2a6a1dce4f026e67173d1","sha256:9c482993e682d0168ee615dafb14cd5d76c0b13cf1326d20a6118c710bc5a1ce"],"state_sha256":"557f44fcaf6d17303b08f66e01366a26b5ac699efbae5d9235aef98ad448b4ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JSz8gRpeEUJznN0vuVYGqADjj/fPBVVKvfFYyWcC3v09lHeuTaal3f1H775gA2f0J5ne4jZgKhVOiLMEaZTKAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T17:40:51.443278Z","bundle_sha256":"a426efda9722edd87de3d390efd9bcc39743e0e71509283edf578d2f86781342"}}