{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7P7VPPBPFDJW3BNTY6BUAQ7TN5","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":"461debfcbeb7f80c8a5ea03bf6a89e51cc967a380400b9b7d23d6428363046dc","cross_cats_sorted":["math.MP","q-bio.QM"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math-ph","submitted_at":"2013-01-30T04:30:33Z","title_canon_sha256":"75159a42fde6a7805f9510deb4d452021b670c2777d3e58cb230c962af67f75e"},"schema_version":"1.0","source":{"id":"1301.7139","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7139","created_at":"2026-05-18T03:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7139v1","created_at":"2026-05-18T03:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7139","created_at":"2026-05-18T03:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"7P7VPPBPFDJW","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7P7VPPBPFDJW3BNT","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7P7VPPBP","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:767bdf436cd87e0d8a62bfa97b820bf0d04f1edcc28fbbd4065a06e48469751d","target":"graph","created_at":"2026-05-18T03:35:01Z","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 discuss solutions of the one-dimensional telegrapher's equation in the presence of boundary conditions. We revisit the case of a radiation boundary condition and obtain an alternative expression for the already known Green's function. Furthermore, we formulate a backreaction boundary condition, which has been widely used in the context of diffusion-controlled reversible reactions, for a one-dimensional telegrapher's equation and derive the corresponding Green's function.","authors_text":"Martin Meier-Schellersheim, Thorsten Pr\\\"ustel","cross_cats":["math.MP","q-bio.QM"],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math-ph","submitted_at":"2013-01-30T04:30:33Z","title":"Solution to the one-dimensional telegrapher's equation subject to a backreaction boundary condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7139","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:bd17f3b9bcea816451b276fb780a6fb058616a0697b43f29853a3dc634dac770","target":"record","created_at":"2026-05-18T03:35:01Z","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":"461debfcbeb7f80c8a5ea03bf6a89e51cc967a380400b9b7d23d6428363046dc","cross_cats_sorted":["math.MP","q-bio.QM"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math-ph","submitted_at":"2013-01-30T04:30:33Z","title_canon_sha256":"75159a42fde6a7805f9510deb4d452021b670c2777d3e58cb230c962af67f75e"},"schema_version":"1.0","source":{"id":"1301.7139","kind":"arxiv","version":1}},"canonical_sha256":"fbff57bc2f28d36d85b3c7834043f36f528c63310ef01b3fb6acf4c28c0c2775","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbff57bc2f28d36d85b3c7834043f36f528c63310ef01b3fb6acf4c28c0c2775","first_computed_at":"2026-05-18T03:35:01.212077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:01.212077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N4oXaeV2u0dc5ZxyGg5PKeboAi5czYtPviELT77c5uFWwhZP8lPSR3bUjVP18+++Qq7Mj6n96pxQUMyUSbbSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:01.212649Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.7139","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd17f3b9bcea816451b276fb780a6fb058616a0697b43f29853a3dc634dac770","sha256:767bdf436cd87e0d8a62bfa97b820bf0d04f1edcc28fbbd4065a06e48469751d"],"state_sha256":"60bd1dfc82a9cec33cbe34cc16fe18a3975d0fb8c5d9da43f99ea4b96559fe48"}