{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:3UX3V2V2HH4K6NO6SIACKCG67L","short_pith_number":"pith:3UX3V2V2","schema_version":"1.0","canonical_sha256":"dd2fbaeaba39f8af35de92002508defacfcf419d4286470e7f21fadbcb9e54a0","source":{"kind":"arxiv","id":"1105.3858","version":1},"attestation_state":"computed","paper":{"title":"Bounds on strong field magneto-transport in three-dimensional composites","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Graeme W. Milton, Marc Briane (IRMAR)","submitted_at":"2011-05-19T12:58:14Z","abstract_excerpt":"This paper deals with bounds satisfied by the effective non-symmetric conductivity of three-dimensional composites in the presence of a strong magnetic field. On the one hand, it is shown that for general composites the antisymmetric part of the effective conductivity cannot be bounded solely in terms of the antisymmetric part of the local conductivity, contrary to the columnar case. So, a suitable rank-two laminate the conductivity of which has a bounded antisymmetric part together with a high-contrast symmetric part, may generate an arbitrarily large antisymmetric part of the effective condu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1105.3858","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-05-19T12:58:14Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"966fff2f547073108f447eac85333711092aad0b8a613199972716595847d79a","abstract_canon_sha256":"3fbad55047a4704b90fb4dca3effeca2ac67eb73fc345a2cf033294c5d07a87d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:56.061896Z","signature_b64":"LsASqSbifXONBNEEl71+QUjws6YriF5n94e0UpVZiHEVQpsuR1y311l7uPcBQGJvTpHSX4JNjku8L4qw5SRZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd2fbaeaba39f8af35de92002508defacfcf419d4286470e7f21fadbcb9e54a0","last_reissued_at":"2026-05-18T02:01:56.061158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:56.061158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounds on strong field magneto-transport in three-dimensional composites","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Graeme W. Milton, Marc Briane (IRMAR)","submitted_at":"2011-05-19T12:58:14Z","abstract_excerpt":"This paper deals with bounds satisfied by the effective non-symmetric conductivity of three-dimensional composites in the presence of a strong magnetic field. On the one hand, it is shown that for general composites the antisymmetric part of the effective conductivity cannot be bounded solely in terms of the antisymmetric part of the local conductivity, contrary to the columnar case. So, a suitable rank-two laminate the conductivity of which has a bounded antisymmetric part together with a high-contrast symmetric part, may generate an arbitrarily large antisymmetric part of the effective condu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3858","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1105.3858","created_at":"2026-05-18T02:01:56.061279+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.3858v1","created_at":"2026-05-18T02:01:56.061279+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3858","created_at":"2026-05-18T02:01:56.061279+00:00"},{"alias_kind":"pith_short_12","alias_value":"3UX3V2V2HH4K","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"3UX3V2V2HH4K6NO6","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"3UX3V2V2","created_at":"2026-05-18T12:26:20.644004+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3UX3V2V2HH4K6NO6SIACKCG67L","json":"https://pith.science/pith/3UX3V2V2HH4K6NO6SIACKCG67L.json","graph_json":"https://pith.science/api/pith-number/3UX3V2V2HH4K6NO6SIACKCG67L/graph.json","events_json":"https://pith.science/api/pith-number/3UX3V2V2HH4K6NO6SIACKCG67L/events.json","paper":"https://pith.science/paper/3UX3V2V2"},"agent_actions":{"view_html":"https://pith.science/pith/3UX3V2V2HH4K6NO6SIACKCG67L","download_json":"https://pith.science/pith/3UX3V2V2HH4K6NO6SIACKCG67L.json","view_paper":"https://pith.science/paper/3UX3V2V2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.3858&json=true","fetch_graph":"https://pith.science/api/pith-number/3UX3V2V2HH4K6NO6SIACKCG67L/graph.json","fetch_events":"https://pith.science/api/pith-number/3UX3V2V2HH4K6NO6SIACKCG67L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3UX3V2V2HH4K6NO6SIACKCG67L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3UX3V2V2HH4K6NO6SIACKCG67L/action/storage_attestation","attest_author":"https://pith.science/pith/3UX3V2V2HH4K6NO6SIACKCG67L/action/author_attestation","sign_citation":"https://pith.science/pith/3UX3V2V2HH4K6NO6SIACKCG67L/action/citation_signature","submit_replication":"https://pith.science/pith/3UX3V2V2HH4K6NO6SIACKCG67L/action/replication_record"}},"created_at":"2026-05-18T02:01:56.061279+00:00","updated_at":"2026-05-18T02:01:56.061279+00:00"}