{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:7665GYDU7BAVOUZSDQGTTSHYB7","short_pith_number":"pith:7665GYDU","canonical_record":{"source":{"id":"2606.03900","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-02T16:54:56Z","cross_cats_sorted":[],"title_canon_sha256":"8a0258f413d949f82080492001a883a8cac737600d26381ee1fbb84c358efb6a","abstract_canon_sha256":"fe0777596ab8c8644d35986174d3bde3acd846296c97045041da4ba2611fa142"},"schema_version":"1.0"},"canonical_sha256":"ffbdd36074f8415753321c0d39c8f80fdbcf3b81bad039ea68c854f2539369e7","source":{"kind":"arxiv","id":"2606.03900","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03900","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03900v1","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03900","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"7665GYDU7BAV","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"pith_short_16","alias_value":"7665GYDU7BAVOUZS","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"pith_short_8","alias_value":"7665GYDU","created_at":"2026-06-03T02:06:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:7665GYDU7BAVOUZSDQGTTSHYB7","target":"record","payload":{"canonical_record":{"source":{"id":"2606.03900","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-02T16:54:56Z","cross_cats_sorted":[],"title_canon_sha256":"8a0258f413d949f82080492001a883a8cac737600d26381ee1fbb84c358efb6a","abstract_canon_sha256":"fe0777596ab8c8644d35986174d3bde3acd846296c97045041da4ba2611fa142"},"schema_version":"1.0"},"canonical_sha256":"ffbdd36074f8415753321c0d39c8f80fdbcf3b81bad039ea68c854f2539369e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T02:06:06.351793Z","signature_b64":"FHq7vj+6Njsufhk84kTewC6WwpbtXua4ByKGQSY7iNkonL9XrQ0RPENoNY24ZUe+25zpUTbWfaiBPnnRwmJ/Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffbdd36074f8415753321c0d39c8f80fdbcf3b81bad039ea68c854f2539369e7","last_reissued_at":"2026-06-03T02:06:06.351425Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T02:06:06.351425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.03900","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":"2026-06-03T02:06:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/PAVP3zkYmRXJLWGhcHM7EzpUWbTUv+i0IiJPv2vMntNSXGVuMcd62T3fTQItobDaQZ8AU9tkTDXWQDXishoDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:55:03.761597Z"},"content_sha256":"dc6db3fbda0720fb1e73c3dce9b73e93e508aedeedc291d9ce710df752ebc95c","schema_version":"1.0","event_id":"sha256:dc6db3fbda0720fb1e73c3dce9b73e93e508aedeedc291d9ce710df752ebc95c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:7665GYDU7BAVOUZSDQGTTSHYB7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bernoulli principle in ferroelectrics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Anna Razumnaya, Dmitrii Naidenko, Ekaterina Linnik, Igor Lukyanchuk, Yuri Tikhonov","submitted_at":"2026-06-02T16:54:56Z","abstract_excerpt":"Ferroelectric materials, characterized by spontaneous electric polarization, exhibit remarkable parallels with fluid dynamics, where polarization flux behaves similarly to fluid flow. Understanding polarization distribution in confined geometries at the nanoscale is crucial for both fundamental physics and technological applications. Here, we show that the classical Bernoulli principle, which describes the conservation of the energy flux along velocity streamlines in a moving fluid, can be extended to the conservation of polarization flux in ferroelectric nanorods with varying cross-sectional "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03900","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/2606.03900/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":"2026-06-03T02:06:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z6Q82oeLScOa2+H1OvkvxCgfraEuRFw8BygausTzJyr7DKMOGKX9p7nDmj0py+wVG/hwODGeVPrKuV6ePvTBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:55:03.762239Z"},"content_sha256":"77e66ac2377dc6ad8c73f82794d9bfb8770aaf5c03c43598febcc87c7f0855ea","schema_version":"1.0","event_id":"sha256:77e66ac2377dc6ad8c73f82794d9bfb8770aaf5c03c43598febcc87c7f0855ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7665GYDU7BAVOUZSDQGTTSHYB7/bundle.json","state_url":"https://pith.science/pith/7665GYDU7BAVOUZSDQGTTSHYB7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7665GYDU7BAVOUZSDQGTTSHYB7/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":"2026-07-01T02:55:03Z","links":{"resolver":"https://pith.science/pith/7665GYDU7BAVOUZSDQGTTSHYB7","bundle":"https://pith.science/pith/7665GYDU7BAVOUZSDQGTTSHYB7/bundle.json","state":"https://pith.science/pith/7665GYDU7BAVOUZSDQGTTSHYB7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7665GYDU7BAVOUZSDQGTTSHYB7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7665GYDU7BAVOUZSDQGTTSHYB7","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":"fe0777596ab8c8644d35986174d3bde3acd846296c97045041da4ba2611fa142","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-02T16:54:56Z","title_canon_sha256":"8a0258f413d949f82080492001a883a8cac737600d26381ee1fbb84c358efb6a"},"schema_version":"1.0","source":{"id":"2606.03900","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03900","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03900v1","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03900","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"7665GYDU7BAV","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"pith_short_16","alias_value":"7665GYDU7BAVOUZS","created_at":"2026-06-03T02:06:06Z"},{"alias_kind":"pith_short_8","alias_value":"7665GYDU","created_at":"2026-06-03T02:06:06Z"}],"graph_snapshots":[{"event_id":"sha256:77e66ac2377dc6ad8c73f82794d9bfb8770aaf5c03c43598febcc87c7f0855ea","target":"graph","created_at":"2026-06-03T02:06:06Z","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/2606.03900/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Ferroelectric materials, characterized by spontaneous electric polarization, exhibit remarkable parallels with fluid dynamics, where polarization flux behaves similarly to fluid flow. Understanding polarization distribution in confined geometries at the nanoscale is crucial for both fundamental physics and technological applications. Here, we show that the classical Bernoulli principle, which describes the conservation of the energy flux along velocity streamlines in a moving fluid, can be extended to the conservation of polarization flux in ferroelectric nanorods with varying cross-sectional ","authors_text":"Anna Razumnaya, Dmitrii Naidenko, Ekaterina Linnik, Igor Lukyanchuk, Yuri Tikhonov","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-02T16:54:56Z","title":"Bernoulli principle in ferroelectrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03900","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:dc6db3fbda0720fb1e73c3dce9b73e93e508aedeedc291d9ce710df752ebc95c","target":"record","created_at":"2026-06-03T02:06:06Z","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":"fe0777596ab8c8644d35986174d3bde3acd846296c97045041da4ba2611fa142","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-02T16:54:56Z","title_canon_sha256":"8a0258f413d949f82080492001a883a8cac737600d26381ee1fbb84c358efb6a"},"schema_version":"1.0","source":{"id":"2606.03900","kind":"arxiv","version":1}},"canonical_sha256":"ffbdd36074f8415753321c0d39c8f80fdbcf3b81bad039ea68c854f2539369e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffbdd36074f8415753321c0d39c8f80fdbcf3b81bad039ea68c854f2539369e7","first_computed_at":"2026-06-03T02:06:06.351425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T02:06:06.351425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FHq7vj+6Njsufhk84kTewC6WwpbtXua4ByKGQSY7iNkonL9XrQ0RPENoNY24ZUe+25zpUTbWfaiBPnnRwmJ/Cw==","signature_status":"signed_v1","signed_at":"2026-06-03T02:06:06.351793Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.03900","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc6db3fbda0720fb1e73c3dce9b73e93e508aedeedc291d9ce710df752ebc95c","sha256:77e66ac2377dc6ad8c73f82794d9bfb8770aaf5c03c43598febcc87c7f0855ea"],"state_sha256":"f7b5ea7643b56c8fdb4b1a2d084cf3b1089c7f285d2cda8d16ebc8f3985772d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nVmUpTgUdMy2pwMmBGhi878cWRroCbbgSsRtJbbw21opMq7NVkn+LCRkC4D0em9+8ONxdneeXz/nQJbYdameBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T02:55:03.765196Z","bundle_sha256":"5e13fa42cbf9f1a343706f84277c7d536cf1cf9a7b12bc06dccfdb74078bbcd6"}}