{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:AYNUQCQZ4TDXBFO4BRE2SMYFRJ","short_pith_number":"pith:AYNUQCQZ","canonical_record":{"source":{"id":"2401.06700","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2024-01-12T17:05:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a6d342b30469a8cc985a2361db79229188c29c0f4c84262a550f1a81e3b481b5","abstract_canon_sha256":"2241f9feaf636147602735bfe3c24cb975b3ca9bb4862d98c21ca1ca2d336629"},"schema_version":"1.0"},"canonical_sha256":"061b480a19e4c77095dc0c49a933058a7713ef73f5dd3885de2e0d927fcdaf90","source":{"kind":"arxiv","id":"2401.06700","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.06700","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"arxiv_version","alias_value":"2401.06700v2","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.06700","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"pith_short_12","alias_value":"AYNUQCQZ4TDX","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"pith_short_16","alias_value":"AYNUQCQZ4TDXBFO4","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"pith_short_8","alias_value":"AYNUQCQZ","created_at":"2026-07-05T09:16:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:AYNUQCQZ4TDXBFO4BRE2SMYFRJ","target":"record","payload":{"canonical_record":{"source":{"id":"2401.06700","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2024-01-12T17:05:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a6d342b30469a8cc985a2361db79229188c29c0f4c84262a550f1a81e3b481b5","abstract_canon_sha256":"2241f9feaf636147602735bfe3c24cb975b3ca9bb4862d98c21ca1ca2d336629"},"schema_version":"1.0"},"canonical_sha256":"061b480a19e4c77095dc0c49a933058a7713ef73f5dd3885de2e0d927fcdaf90","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:16:11.605118Z","signature_b64":"LaA/Vs2vGu1QTmzEi1LG9qKo2Z88ap+aZO+8aGmA0D4JaLrL+OlUY9bHq+5ngiqK1rFKmyIfGM1hBhzYywRfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"061b480a19e4c77095dc0c49a933058a7713ef73f5dd3885de2e0d927fcdaf90","last_reissued_at":"2026-07-05T09:16:11.604211Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:16:11.604211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.06700","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:16:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zOvYB84pGulckb8vb4HkCSr4ifAplJf198BcD8P/7Bm65cl9d37DEsIUMX6VCN9gSr/7mIDqmREPytF1qRMiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T19:02:05.812376Z"},"content_sha256":"4f391c1b5f2a39096c1355ff0d8f32b01833c5568370c1df309a5e1fc6ea3608","schema_version":"1.0","event_id":"sha256:4f391c1b5f2a39096c1355ff0d8f32b01833c5568370c1df309a5e1fc6ea3608"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:AYNUQCQZ4TDXBFO4BRE2SMYFRJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Highly-enhanced propagation of long-range kinks in heterogeneous media","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"nlin.PS","authors_text":"Alberto Bellor\\'in, Jorge A. Gonz\\'alez, Juan F. Mar\\'in, Luis E. Guerrero, Salvador Jim\\'enez","submitted_at":"2024-01-12T17:05:15Z","abstract_excerpt":"We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that the long-range kink can tunnel through a barrier created by heterogeneous fields and impurities even when the energy of the center of mass of the kink is less than the height of the energy barrier. We also study the conditions under which the kink can pass freely through a disordered medium. We introduce the concept of \"effective translational symmetry\". We compare our results with those from recent papers published in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.06700","kind":"arxiv","version":2},"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/2401.06700/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":"2026-07-05T09:16:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b4tiABWSrcGY7FCbNJt29ph7WIFYW59E5GeW85CBMG1f+TcsVqSRiPhuEGqqTgL3yvWddL8Btsrh2qmeMBzBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T19:02:05.813345Z"},"content_sha256":"845fc75458b7b29f5ba28690d4a920c89a64ef75eeebea408e957d759e996a9d","schema_version":"1.0","event_id":"sha256:845fc75458b7b29f5ba28690d4a920c89a64ef75eeebea408e957d759e996a9d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AYNUQCQZ4TDXBFO4BRE2SMYFRJ/bundle.json","state_url":"https://pith.science/pith/AYNUQCQZ4TDXBFO4BRE2SMYFRJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AYNUQCQZ4TDXBFO4BRE2SMYFRJ/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":"2026-08-13T19:02:05Z","links":{"resolver":"https://pith.science/pith/AYNUQCQZ4TDXBFO4BRE2SMYFRJ","bundle":"https://pith.science/pith/AYNUQCQZ4TDXBFO4BRE2SMYFRJ/bundle.json","state":"https://pith.science/pith/AYNUQCQZ4TDXBFO4BRE2SMYFRJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AYNUQCQZ4TDXBFO4BRE2SMYFRJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AYNUQCQZ4TDXBFO4BRE2SMYFRJ","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":"2241f9feaf636147602735bfe3c24cb975b3ca9bb4862d98c21ca1ca2d336629","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2024-01-12T17:05:15Z","title_canon_sha256":"a6d342b30469a8cc985a2361db79229188c29c0f4c84262a550f1a81e3b481b5"},"schema_version":"1.0","source":{"id":"2401.06700","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.06700","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"arxiv_version","alias_value":"2401.06700v2","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.06700","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"pith_short_12","alias_value":"AYNUQCQZ4TDX","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"pith_short_16","alias_value":"AYNUQCQZ4TDXBFO4","created_at":"2026-07-05T09:16:11Z"},{"alias_kind":"pith_short_8","alias_value":"AYNUQCQZ","created_at":"2026-07-05T09:16:11Z"}],"graph_snapshots":[{"event_id":"sha256:845fc75458b7b29f5ba28690d4a920c89a64ef75eeebea408e957d759e996a9d","target":"graph","created_at":"2026-07-05T09:16:11Z","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/2401.06700/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that the long-range kink can tunnel through a barrier created by heterogeneous fields and impurities even when the energy of the center of mass of the kink is less than the height of the energy barrier. We also study the conditions under which the kink can pass freely through a disordered medium. We introduce the concept of \"effective translational symmetry\". We compare our results with those from recent papers published in","authors_text":"Alberto Bellor\\'in, Jorge A. Gonz\\'alez, Juan F. Mar\\'in, Luis E. Guerrero, Salvador Jim\\'enez","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2024-01-12T17:05:15Z","title":"Highly-enhanced propagation of long-range kinks in heterogeneous media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.06700","kind":"arxiv","version":2},"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":"sha256:4f391c1b5f2a39096c1355ff0d8f32b01833c5568370c1df309a5e1fc6ea3608","target":"record","created_at":"2026-07-05T09:16:11Z","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":"2241f9feaf636147602735bfe3c24cb975b3ca9bb4862d98c21ca1ca2d336629","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2024-01-12T17:05:15Z","title_canon_sha256":"a6d342b30469a8cc985a2361db79229188c29c0f4c84262a550f1a81e3b481b5"},"schema_version":"1.0","source":{"id":"2401.06700","kind":"arxiv","version":2}},"canonical_sha256":"061b480a19e4c77095dc0c49a933058a7713ef73f5dd3885de2e0d927fcdaf90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"061b480a19e4c77095dc0c49a933058a7713ef73f5dd3885de2e0d927fcdaf90","first_computed_at":"2026-07-05T09:16:11.604211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:16:11.604211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LaA/Vs2vGu1QTmzEi1LG9qKo2Z88ap+aZO+8aGmA0D4JaLrL+OlUY9bHq+5ngiqK1rFKmyIfGM1hBhzYywRfDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:16:11.605118Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.06700","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f391c1b5f2a39096c1355ff0d8f32b01833c5568370c1df309a5e1fc6ea3608","sha256:845fc75458b7b29f5ba28690d4a920c89a64ef75eeebea408e957d759e996a9d"],"state_sha256":"c346d411a6ffc7a0be4ffecfecea54d7c2f961004798b2173ba19d310bc02244"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mNcJfxl7UFCPfHFrnSSWwb/XQNBKkjBWN9as3yXYlu41hIYgz+x41Wsb84aDMut1zEjK08/AYyO3klWZ11X5Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T19:02:05.820249Z","bundle_sha256":"1ed6cd2d40a5b5e5d9c7294f679da73ddc96267e35335e9fa532481bab8c4b1a"}}