{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SAJQ3J4PM5HJGLJF5XYVBVQCZH","short_pith_number":"pith:SAJQ3J4P","canonical_record":{"source":{"id":"1703.09534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-03-28T12:18:10Z","cross_cats_sorted":[],"title_canon_sha256":"2b91f6a8e99d821cd913639aa3011958392510f4411ec7cc1d5a67195d8a96b8","abstract_canon_sha256":"f6c82cf854ccf562dbc2da548e37fe25cdd003d4def087954732f007bedc8e5a"},"schema_version":"1.0"},"canonical_sha256":"90130da78f674e932d25edf150d602c9ff44e822b29e81a330a7bc1387831403","source":{"kind":"arxiv","id":"1703.09534","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.09534","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"arxiv_version","alias_value":"1703.09534v1","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09534","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"pith_short_12","alias_value":"SAJQ3J4PM5HJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SAJQ3J4PM5HJGLJF","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SAJQ3J4P","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SAJQ3J4PM5HJGLJF5XYVBVQCZH","target":"record","payload":{"canonical_record":{"source":{"id":"1703.09534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-03-28T12:18:10Z","cross_cats_sorted":[],"title_canon_sha256":"2b91f6a8e99d821cd913639aa3011958392510f4411ec7cc1d5a67195d8a96b8","abstract_canon_sha256":"f6c82cf854ccf562dbc2da548e37fe25cdd003d4def087954732f007bedc8e5a"},"schema_version":"1.0"},"canonical_sha256":"90130da78f674e932d25edf150d602c9ff44e822b29e81a330a7bc1387831403","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:28.903865Z","signature_b64":"BINJM448Id+s5j7hdAmIXruScu+eSZzf8OJ7MXwMTesWAgNqHQfEBap19gAj/wZUXC45LErUI13gIBqSQOjzDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90130da78f674e932d25edf150d602c9ff44e822b29e81a330a7bc1387831403","last_reissued_at":"2026-05-18T00:46:28.903127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:28.903127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.09534","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":"2026-05-18T00:46:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"blhCtvGVuTSNunRcPXIekEE1LicQ6+IOyz3ctFC3sBdhhginv3y1XAULIu3wZCMRK107KJWy2rzuveG9Nr1HDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:51:40.152704Z"},"content_sha256":"87c16357a6d5d15dcc28612fcb5c2c911d4fbd102dd973b8cbd6700025e85233","schema_version":"1.0","event_id":"sha256:87c16357a6d5d15dcc28612fcb5c2c911d4fbd102dd973b8cbd6700025e85233"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SAJQ3J4PM5HJGLJF5XYVBVQCZH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear standing waves on planar branched systems: Shrinking into metric graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"D. Babajanov, D. Matrasulov, Z. Sobirov","submitted_at":"2017-03-28T12:18:10Z","abstract_excerpt":"We treat the stationary nonlinear Schroodinger equation on two-dimensional branched domains, so-called fat graphs. The shrinking limit when the domain becomes one-dimensional metric graph is studied by using analytical estimate of the convergence of fat graph boundary conditions into those for metric graph. Detailed analysis of such convergence on the basis of numerical solution of stationary nonlinear Schrodinger equation on a fat graph is provided. Possibility for reproducing different metric graph boundary conditions studied in earlier works is shown. Practical applications of the proposed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09534","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":"2026-05-18T00:46:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bZ17EVfWcPb304XSoYwDZO0k41InFkRA4JPEvBRkzd7n+tv+7bSiTKUw9Hn4XrPF7EcI+TW08wFxlUVXQiSlAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:51:40.153311Z"},"content_sha256":"3295eb5aa336c681ef1d73cff1051e8d6a6a4e564f2aca360d93980391f2d7f6","schema_version":"1.0","event_id":"sha256:3295eb5aa336c681ef1d73cff1051e8d6a6a4e564f2aca360d93980391f2d7f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SAJQ3J4PM5HJGLJF5XYVBVQCZH/bundle.json","state_url":"https://pith.science/pith/SAJQ3J4PM5HJGLJF5XYVBVQCZH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SAJQ3J4PM5HJGLJF5XYVBVQCZH/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":"2026-05-27T06:51:40Z","links":{"resolver":"https://pith.science/pith/SAJQ3J4PM5HJGLJF5XYVBVQCZH","bundle":"https://pith.science/pith/SAJQ3J4PM5HJGLJF5XYVBVQCZH/bundle.json","state":"https://pith.science/pith/SAJQ3J4PM5HJGLJF5XYVBVQCZH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SAJQ3J4PM5HJGLJF5XYVBVQCZH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SAJQ3J4PM5HJGLJF5XYVBVQCZH","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":"f6c82cf854ccf562dbc2da548e37fe25cdd003d4def087954732f007bedc8e5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-03-28T12:18:10Z","title_canon_sha256":"2b91f6a8e99d821cd913639aa3011958392510f4411ec7cc1d5a67195d8a96b8"},"schema_version":"1.0","source":{"id":"1703.09534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.09534","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"arxiv_version","alias_value":"1703.09534v1","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09534","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"pith_short_12","alias_value":"SAJQ3J4PM5HJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SAJQ3J4PM5HJGLJF","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SAJQ3J4P","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:3295eb5aa336c681ef1d73cff1051e8d6a6a4e564f2aca360d93980391f2d7f6","target":"graph","created_at":"2026-05-18T00:46:28Z","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 treat the stationary nonlinear Schroodinger equation on two-dimensional branched domains, so-called fat graphs. The shrinking limit when the domain becomes one-dimensional metric graph is studied by using analytical estimate of the convergence of fat graph boundary conditions into those for metric graph. Detailed analysis of such convergence on the basis of numerical solution of stationary nonlinear Schrodinger equation on a fat graph is provided. Possibility for reproducing different metric graph boundary conditions studied in earlier works is shown. Practical applications of the proposed ","authors_text":"D. Babajanov, D. Matrasulov, Z. Sobirov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-03-28T12:18:10Z","title":"Nonlinear standing waves on planar branched systems: Shrinking into metric graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09534","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":"sha256:87c16357a6d5d15dcc28612fcb5c2c911d4fbd102dd973b8cbd6700025e85233","target":"record","created_at":"2026-05-18T00:46:28Z","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":"f6c82cf854ccf562dbc2da548e37fe25cdd003d4def087954732f007bedc8e5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-03-28T12:18:10Z","title_canon_sha256":"2b91f6a8e99d821cd913639aa3011958392510f4411ec7cc1d5a67195d8a96b8"},"schema_version":"1.0","source":{"id":"1703.09534","kind":"arxiv","version":1}},"canonical_sha256":"90130da78f674e932d25edf150d602c9ff44e822b29e81a330a7bc1387831403","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90130da78f674e932d25edf150d602c9ff44e822b29e81a330a7bc1387831403","first_computed_at":"2026-05-18T00:46:28.903127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:28.903127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BINJM448Id+s5j7hdAmIXruScu+eSZzf8OJ7MXwMTesWAgNqHQfEBap19gAj/wZUXC45LErUI13gIBqSQOjzDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:28.903865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.09534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87c16357a6d5d15dcc28612fcb5c2c911d4fbd102dd973b8cbd6700025e85233","sha256:3295eb5aa336c681ef1d73cff1051e8d6a6a4e564f2aca360d93980391f2d7f6"],"state_sha256":"4ade20b026d93c350e4b3f11c0e5520d92cb9be3ba5ff5c21acc57a37a15b206"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3/4DmmKF/xHdSglWef8Z6PrK2ZaPG96obH2tmL0fWxLO62adEtVmxOHkgFZ3KigsPwEDZ6nT19G+pUyLwP9wDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T06:51:40.156531Z","bundle_sha256":"ef58969ab0fce7ca237fd4042a7311aa91d865323fcccfd81b84268333fc12ef"}}